Lawrence N. Virgin
Professor of Mechanical Engineering and Materials Science
The second area of interest is to apply recent results from nonlinear dynamical systems theory to problems of practical engineering importance. These include the nonlinear rolling motion of ships leading to capsize; buckling of axially-loaded structural components; aeroelastic flutter of aircraft panels at high supersonic speeds; vibration isolation based on nonlinear springs; energy harvesting; damage detection and structural health monitoring; and the dynamics of very flexible structures including solar sails and marine risers. Professor Virgin conducts mechanical experiments to complement these studies.
The flavor of much of this work is contained in the books:
Introduction to Experimental Nonlinear Dynamics, L.N. Virgin, Cambridge University Press, 2000.
Vibration of Axially Loaded Structures, L.N. Virgin, Cambridge University Press, 2007.
Current Research Interests
Current Appointments & Affiliations
- Professor of Mechanical Engineering and Materials Science, Thomas Lord Department of Mechanical Engineering and Materials Science, Pratt School of Engineering 2003
Contact Information
- 3393 Fciemas Building, Box 90300, Durham, NC 27708
- 3393 Fciemas, Duke Box 90300, Durham, NC 27708
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l.virgin@duke.edu
(919) 660-5342
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http://nonlineardynamics.pratt.duke.edu/
- Background
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Education, Training, & Certifications
- Ph.D., University of London (United Kingdom) 1986
- M.S., Cardiff University (United Kingdom) 1982
- B.S., University of Manchester (United Kingdom) 1981
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Previous Appointments & Affiliations
- Professor in the Department of Civil and Environmental Engineering, Civil and Environmental Engineering, Pratt School of Engineering 2015 - 2021
- Professor of Civil and Environmental Engineering, Civil and Environmental Engineering, Pratt School of Engineering 2003 - 2006
- Associate Professor of Civil and Environmental Engineering, Civil and Environmental Engineering, Pratt School of Engineering 1999 - 2003
- Associate Professor of Mechanical Engineering and Materials Science, Thomas Lord Department of Mechanical Engineering and Materials Science, Pratt School of Engineering 1995 - 2002
- Associate Professor of Civil and Environmental Engineering, Civil and Environmental Engineering, Pratt School of Engineering 1996 - 1999
- Assistant Professor, Civil and Environmental Engineering, Pratt School of Engineering 1994 - 1996
- Assistant Professor, Thomas Lord Department of Mechanical Engineering and Materials Science, Pratt School of Engineering 1989 - 1995
- Assistant Professor, Civil and Environmental Engineering, Pratt School of Engineering 1989 - 1993
- Visiting Scholar, Thomas Lord Department of Mechanical Engineering and Materials Science, Pratt School of Engineering 1988 - 1989
- Recognition
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In the News
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JAN 23, 2023 Pratt School of Engineering -
MAY 24, 2021 Pratt School of Engineering
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Awards & Honors
- Expertise
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Subject Headings
- Adhesion
- Algorithms
- Colloids
- Computer Simulation
- Diffusion
- Dynamics
- Elasticity
- Fourier Analysis
- Magnetics
- Mathematical models
- Microspheres
- Miniaturization
- Models, Statistical
- Models, Theoretical
- Muser Mentor
- Nonlinear Dynamics
- Nonlinear oscillators
- Optics and Photonics
- Particle Size
- Physics
- Scattering, Radiation
- Time Factors
- Research
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Selected Grants
- Probing and Disturbance Sensitivity: A New Approach to Imperfection-Sensitive Buckling awarded by National Science Foundation 2019 - 2023
- Collaborative Research: Geometry of escape dynamics in structural mechanics awarded by National Science Foundation 2015 - 2019
- Nonlinear Dynamics and Global Stability of Aircraft Structures awarded by Rice University 2013 - 2017
- The 2016 Dynamics Days Conference awarded by National Science Foundation 2015 - 2016
- New Features In Non-Smooth Dynamical Systems: Experiments And Analysis awarded by National Science Foundation 2009 - 2013
- Vibration and Buckling Characteristics of J-2X Rocket Nozzles awarded by National Aeronautics and Space Administration 2009 - 2012
- Non-linear Dynamics of Traveling Wave Magnetophoresis for Applications in Colloidal Separation awarded by National Science Foundation 2008 - 2012
- Snap-Through And Continuation awarded by Air Force Office of Scientific Research 2009 - 2011
- Equipment in Support of Broadband Energy Harvesting awarded by Office of Naval Research 2010 - 2011
- Acoustic-Structure Interaction in Rocket Engines awarded by National Aeronautics and Space Administration 2005 - 2008
- To Support Computational Platforms for Practical Learning Instructional & Support of Student Project Capabilities awarded by Lord Foundation of North Carolina 2007 - 2008
- REU Supplement: A Novel Type of Vibration Isolator Utilizing Buckled Structures awarded by National Science Foundation 2004 - 2006
- A Novel Type of Vibration Isolator Utilizing Buckled Structures awarded by National Science Foundation 2003 - 2006
- A Buckling Demonstration Model awarded by Lord Foundation of North Carolina 2002 - 2005
- Numerical and Experimental Models of Dry Friction Damping in Aeroelastic Structures awarded by Air Force Office of Scientific Research 2002 - 2005
- Dynamic Characteristics and Damage Detection in Buckled Square Solar Sail Structures awarded by National Aeronautics and Space Administration 2002 - 2005
- Computational Methods for Predicting the Performance of Long Flexible Booms awarded by National Aeronautics and Space Administration 2004
- Development of the Duke/Bath Coop awarded by Lord Foundation of North Carolina 2000 - 2003
- Dynamic Structural Modeling and Testing of Thin-Film Structures Used in Solar Thermal Propulsion awarded by National Aeronautics and Space Administration 2000 - 2003
- A New Approach to Damage Detection In Structures Incorporating Fiber Optic Sensors awarded by Office of Naval Research 2002 - 2003
- Dynamics and Control of Nonlinear Fluid-structure Interaction awarded by Air Force Office of Scientific Research 1999 - 2002
- Nonlinear Differential Equations, Mechanics and Bifurcation awarded by Army Research Office 2002
- On the Response and Stability of Periodic Systems awarded by Army Research Office 1999 - 2002
- An Investigation of the Geometrical Sealing Properties of Inflatable Structures Used for Space Solar Power Generation awarded by National Aeronautics and Space Administration 2000 - 2002
- Development of Classroom/Laboratory Real-time Interaction awarded by Lord Foundation of North Carolina 2001 - 2002
- Development of an Integrated Multimedia Approach to Enhance Scholarly Activity awarded by Lord Foundation of North Carolina 1999 - 2002
- Acquisition of a Point-to-Point Laser Doppler Vibrometer Measurement System awarded by Air Force Office of Scientific Research 2001 - 2002
- Topics in Modal Testing Research awarded by National Aeronautics and Space Administration 1997 - 2000
- Nonlinear Dynamics and Control of Wings and Panels awarded by Air Force Office of Scientific Research 1996 - 1999
- Topics in Modal Testing Research awarded by National Aeronautics and Space Administration 1997 - 1999
- Nonlinear Dynamics: An Experimental Mechanics Perspective awarded by Lord Foundation of North Carolina 1997 - 1998
- Nonlinear Dynamics and Control in Aeroelasticity awarded by Air Force Office of Scientific Research 1994 - 1996
- A Model Investigation of the Steady State and Evolved Nonlinear Responses of an Acoustically Excited, Thermally Buckled Panel awarded by National Aeronautics and Space Administration 1993 - 1996
- Studies in Nonlinear Vibrations, Dynamics and Applications awarded by Army Research Office 1992 - 1995
- A Model Investigation of the Steady-State and Evolved Non-Linear Responses of an Acoustically Excited Thermally Buckled Panel awarded by National Aeronautics and Space Administration 1992 - 1995
- RIA: Control of Chaotic Impacting Oscillators awarded by National Science Foundation 1992 - 1995
- Establishment of an Animation and Visualization Section in the Nonlinear Dynamics Laboratory awarded by Lord Foundation of North Carolina 1994
- Studies in Non-Linear Vibrations, Dynamics, and Applications awarded by Army Research Office 1992 - 1994
- Studies in Nonlinear Vibrations, Dynamics, and Applications awarded by Army Research Office 1992 - 1994
- A Modal Investigation of the Steady-state and Evolved Nonlinear Responses of an Acoustically Excited, Thermally Buckled Panel awarded by National Aeronautics and Space Administration 1992 - 1994
- Control of Chaotic Impact Oscillators awarded by National Science Foundation 1992 - 1994
- Aeroelastic Turbulence and High-Dimensional Chaos awarded by Air Force Office of Scientific Research 1992 - 1993
- Periodic Impact Oscillators awarded by Lord Foundation of North Carolina 1991 - 1992
- Publications & Artistic Works
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Selected Publications
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Books
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Virgin, L. N. Introduction to experimental nonlinear dynamics: A case study in mechanical vibration, 2019. https://doi.org/10.1017/9781139175227.Full Text
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Wagg, David, and Lawrence Virgin. Exploiting Nonlinear Behavior in Structural Dynamics. Springer, 2012.
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Virgin, L., and D. Wagg. Preface. Vol. 536, 2012.
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Virgin, L. N. Vibration of axially loaded structures, 2007. https://doi.org/10.1017/CBO9780511619236.Full Text
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Academic Articles
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Cooley, S. A., H. Yang, and L. N. Virgin. “3D-printing and cylinder buckling: challenges and opportunities.” Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences 381, no. 2244 (April 2023): 20220035. https://doi.org/10.1098/rsta.2022.0035.Full Text
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Virgin, L. N., and P. S. Harvey. “A lateral–torsional buckling demonstration model using 3D printing.” Engineering Structures 280 (April 1, 2023). https://doi.org/10.1016/j.engstruct.2023.115682.Full Text
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Cervi, C., S. T. Santillan, and L. N. Virgin. “Interrogating the Configuration Space of Postbuckled Beams.” Journal of Engineering Mechanics 149, no. 3 (March 1, 2023). https://doi.org/10.1061/JENMDT.EMENG-6839.Full Text
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Virgin, L. N. “On the elastic snapping of structural elements.” International Journal of Non Linear Mechanics 149 (March 1, 2023). https://doi.org/10.1016/j.ijnonlinmec.2022.104329.Full Text
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Virgin, L. N. “A shear center demonstration model using 3D-printing.” International Journal of Mechanical Engineering Education 50, no. 3 (July 1, 2022): 739–48. https://doi.org/10.1177/03064190211057429.Full Text
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Virgin, L. N. “Interrogating the Lead-Up to a Critical Speed in Rotordynamics.” Journal of Vibration and Acoustics, Transactions of the Asme 144, no. 3 (June 1, 2022). https://doi.org/10.1115/1.4053190.Full Text
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Virgin, L. N., and D. B. Holland. “Experiments on the symmetry-breaking effect of orientation on a pair of connected cantilevers.” Mechanical Systems and Signal Processing 164 (February 1, 2022). https://doi.org/10.1016/j.ymssp.2021.108236.Full Text
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Virgin, L. N. “A note on lumped parameter modeling.” Mechanics Research Communications 116 (September 1, 2021). https://doi.org/10.1016/j.mechrescom.2021.103750.Full Text
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Virgin, L. “Simultaneous buckling, contact, and load-carrying capacity.” Journal of Engineering Mechanics 147, no. 5 (May 1, 2021). https://doi.org/10.1061/(ASCE)EM.1943-7889.0001926.Full Text
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Virgin, L. N., and R. H. Plaut. “Large deflections of folded cantilever: Experiments and elastica analysis.” International Journal of Non Linear Mechanics 129 (March 1, 2021). https://doi.org/10.1016/j.ijnonlinmec.2020.103641.Full Text
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Guan, Y., and L. N. Virgin. “A Pyramidal Lattice Frame: Pathways to Inversion.” International Journal of Structural Stability and Dynamics 21, no. 2 (February 1, 2021). https://doi.org/10.1142/S0219455421500206.Full Text
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Ehrhardt, D., L. N. Virgin, and S. M. Spottswood. “Experiments on probing the configuration space of post-buckled panels.” Journal of Applied Mechanics, Transactions Asme 87, no. 12 (December 1, 2020). https://doi.org/10.1115/1.4048197.Full Text
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Virgin, L. N. “Comparative structural stiffness: Exploiting 3D-printing.” American Journal of Physics 88, no. 12 (December 1, 2020): 1049–58. https://doi.org/10.1119/10.0001756.Full Text
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Guan, Y., and L. N. Virgin. “Stability and Bifurcation in Discrete Mechanical Systems: An Experimental and Analytical Study.” International Journal of Bifurcation and Chaos 30, no. 9 (July 1, 2020). https://doi.org/10.1142/S0218127420300244.Full Text
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Bishop, S. R., and L. N. Virgin. “The onset of chaotic motions of a moored semi-submersible.” In: Proc. Asme Sixth (1987) Int. Offshore Mechanics and Arctic Engineering Symp., (Houston, U.S.A.: Mar. 1 6, 1987) II, J.S. Chung; S. Berg; S.K. Chakrabarti; S.R. Montgomery (eds.), New York, U.S.A., Am. Soc. Mech. (January 1, 2020).
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Thompson, J. M. T., and L. N. Virgin. “Instabilities of nonconservative fluid-loaded systems.” International Journal of Bifurcation and Chaos 29, no. 14 (December 30, 2019). https://doi.org/10.1142/S0218127419300398.Full Text
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Xu, Y., and L. N. Virgin. “Probing the force field to identify potential energy.” Journal of Applied Mechanics, Transactions Asme 86, no. 10 (October 1, 2019). https://doi.org/10.1115/1.4044305.Full Text
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Maki, A., L. N. Virgin, N. Umeda, T. Ueta, Y. Miino, M. Sakai, and H. Kawakami. “On the loss of stability of periodic oscillations and its relevance to ship capsize.” Journal of Marine Science and Technology (Japan) 24, no. 3 (September 13, 2019): 846–54. https://doi.org/10.1007/s00773-018-0591-x.Full Text
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Xu, Y., L. N. Virgin, and S. D. Ross. “On experimentally locating saddle-points on a potential energy surface from observed dynamics.” Mechanical Systems and Signal Processing 130 (September 1, 2019): 152–63. https://doi.org/10.1016/j.ymssp.2019.05.002.Full Text
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Harvey, P. S., L. N. Virgin, and M. H. Tehrani. “Buckling of elastic columns with second-mode imperfections.” Meccanica 54, no. 8 (June 1, 2019): 1245–55. https://doi.org/10.1007/s11012-019-01025-z.Full Text
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Ehrhardt, D. A., and L. N. Virgin. “Experiments on the thermal post-buckling of panels, including localized heating.” Journal of Sound and Vibration 439 (January 20, 2019): 300–309. https://doi.org/10.1016/j.jsv.2018.08.043.Full Text
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Guan, Y., L. N. Virgin, and D. Helm. “Structural behavior of shallow geodesic lattice domes.” International Journal of Solids and Structures 155 (December 15, 2018): 225–39. https://doi.org/10.1016/j.ijsolstr.2018.07.022.Full Text
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Zhong, J., L. N. Virgin, and S. D. Ross. “A tube dynamics perspective governing stability transitions: An example based on snap-through buckling.” International Journal of Mechanical Sciences 149 (December 1, 2018): 413–28. https://doi.org/10.1016/j.ijmecsci.2017.10.040.Full Text
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Ross, S. D., A. E. Bozorgmagham, S. Naik, and L. N. Virgin. “Experimental validation of phase space conduits of transition between potential wells.” Physical Review E 98, no. 5 (November 15, 2018). https://doi.org/10.1103/PhysRevE.98.052214.Full Text
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Virgin, L. N. “Enhancing the teaching of elastic buckling using additive manufacturing.” Engineering Structures 174 (November 1, 2018): 338–45. https://doi.org/10.1016/j.engstruct.2018.07.059.Full Text
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Virgin, L. N., J. V. Giliberto, and R. H. Plaut. “Deformation and vibration of compressed, nested, elastic rings on rigid base.” Thin Walled Structures 132 (November 1, 2018): 167–75. https://doi.org/10.1016/j.tws.2018.08.015.Full Text
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Virgin, L. “Tailored Buckling Constrained by Adjacent Members.” Structures 16 (November 1, 2018): 20–26. https://doi.org/10.1016/j.istruc.2018.08.005.Full Text
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Virgin, L. N., and J. M. T. Thompson. “Applications of Bifurcation: Nonautonomous Periodically-Excited Systems.” International Journal of Bifurcation and Chaos 28, no. 11 (October 1, 2018). https://doi.org/10.1142/S0218127418300355.Full Text
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Brzeski, P., and L. N. Virgin. “System identification of energy dissipation in a mechanical model undergoing high velocities: An indirect use of perpetual points.” Mechanical Systems and Signal Processing 108 (August 1, 2018): 115–25. https://doi.org/10.1016/j.ymssp.2018.02.010.Full Text
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Virgin, L. N. “Sympathetic resonance.” American Journal of Physics 86, no. 6 (June 1, 2018): 439–42. https://doi.org/10.1119/1.5025037.Full Text
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Harvey, P. S., and L. N. Virgin. “Effect of stiffener geometry on the response of grid-stiffened panels.” Journal of Engineering Mechanics 144, no. 2 (February 1, 2018). https://doi.org/10.1061/(ASCE)EM.1943-7889.0001415.Full Text
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Detroux, Thibaut, Jean-Philippe Noël, Lawrence N. Virgin, and Gaëtan Kerschen. “Experimental study of isolas in nonlinear systems featuring modal interactions.” Plos One 13, no. 3 (January 2018): e0194452. https://doi.org/10.1371/journal.pone.0194452.Full Text
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Brzeski, P., and L. N. Virgin. “Experimental investigation of perpetual points in mechanical systems.” Nonlinear Dynamics 90, no. 4 (December 1, 2017): 2917–28. https://doi.org/10.1007/s11071-017-3852-z.Full Text
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Virgin, L. “Enhancing the teaching of structural dynamics using additive manufacturing.” Engineering Structures 152 (December 1, 2017): 750–57. https://doi.org/10.1016/j.engstruct.2017.09.052.Full Text
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Plaut, R. H., L. N. Virgin, and J. D. Knight. “Predicting critical speeds in various rotordynamics problems.” Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 231, no. 21 (November 1, 2017): 3913–22. https://doi.org/10.1177/0954406216659680.Full Text
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Virgin, L. “Enhancing the teaching of linear structural analysis using additive manufacturing.” Engineering Structures 150 (November 1, 2017): 135–42. https://doi.org/10.1016/j.engstruct.2017.07.054.Full Text
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Plaut, R. H., and L. N. Virgin. “Snap-through under unilateral displacement control with constant velocity.” International Journal of Non Linear Mechanics 94 (September 1, 2017): 292–99. https://doi.org/10.1016/j.ijnonlinmec.2017.01.015.Full Text
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Plaut, R. H., and L. N. Virgin. “Furthest reach of a uniform cantilevered elastica.” Mechanics Research Communications 83 (July 1, 2017): 18–21. https://doi.org/10.1016/j.mechrescom.2017.03.002.Full Text
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Virgin, L. N., Y. Guan, and R. H. Plaut. “On the geometric conditions for multiple stable equilibria in clamped arches.” International Journal of Non Linear Mechanics 92 (June 1, 2017): 8–14. https://doi.org/10.1016/j.ijnonlinmec.2017.03.009.Full Text
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Bishop, S. R., and L. N. Virgin. “The onset of chaotic motions of a moored semi-submersible.” In: Proc. Asme Sixth (1987) Int. Offshore Mechanics and Arctic Engineering Symp., (Houston, U.S.A.: Mar. 1 6, 1987) II, J.S. Chung; S. Berg; S.K. Chakrabarti; S.R. Montgomery (eds.), New York, U.S.A., Am. Soc. Mech. (January 1, 2017).
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Virgin, L. “On the flexural stiffness of 3D printer thermoplastic.” International Journal of Mechanical Engineering Education 45, no. 1 (January 1, 2017): 59–75. https://doi.org/10.1177/0306419016674140.Full Text
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Plaut, R. H., and L. N. Virgin. “Equilibria and vibration of a buckled beam with attached masses or spring–mass systems.” Journal of Sound and Vibration 379 (September 29, 2016): 166–76. https://doi.org/10.1016/j.jsv.2016.05.043.Full Text
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Wiebe, R., and L. N. Virgin. “On the experimental identification of unstable static equilibria.” Proceedings. Mathematical, Physical, and Engineering Sciences 472, no. 2190 (June 2016): 20160172. https://doi.org/10.1098/rspa.2016.0172.Full Text
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George, C., L. N. Virgin, and T. Witelski. “Experimental study of regular and chaotic transients in a non-smooth system.” International Journal of Non Linear Mechanics 81 (May 1, 2016): 55–64. https://doi.org/10.1016/j.ijnonlinmec.2015.12.006.Full Text
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Virgin, L. N., J. D. Knight, and R. H. Plaut. “A New Method for Predicting Critical Speeds in Rotordynamics.” Journal of Engineering for Gas Turbines and Power 138, no. 2 (February 1, 2016). https://doi.org/10.1115/1.4031308.Full Text
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Virgin, L. N., C. George, and A. Kini. “Experiments on a non-smoothly-forced oscillator.” Physica D: Nonlinear Phenomena 313 (December 1, 2015): 1–10. https://doi.org/10.1016/j.physd.2015.09.002.Full Text
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Phungpaingam, B., L. N. Virgin, and S. Chucheepsakul. “Snap-Through Phenomenon and Self-Contact of Spatial Elastica Subjected to Mid-Torque.” International Journal of Applied Mechanics 7, no. 4 (August 11, 2015). https://doi.org/10.1142/S175882511550057X.Full Text
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Virgin, L. N., R. H. Plaut, and E. V. Cartee. “Adjacent Equilibria in Highly Flexible Upright Loop on Rigid Foundation.” Experimental Mechanics 55, no. 6 (July 5, 2015): 1191–97. https://doi.org/10.1007/s11340-015-0011-7.Full Text
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Hartzell, Samantha, Mark S. Bartlett, Lawrence Virgin, and Amilcare Porporato. “Nonlinear dynamics of the CAM circadian rhythm in response to environmental forcing.” Journal of Theoretical Biology 368 (March 2015): 83–94. https://doi.org/10.1016/j.jtbi.2014.12.010.Full Text
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Virgin, L. N. “Comment on "mechanical properties of suspended graphene sheets" [J. Vac. Sci. Technol., B 25, 2558 (2007)].” Journal of Vacuum Science and Technology B: Nanotechnology and Microelectronics 33, no. 2 (March 1, 2015). https://doi.org/10.1116/1.4914967.Full Text
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Harvey, P. S., and L. N. Virgin. “Coexisting equilibria and stability of a shallow arch: Unilateral displacement-control experiments and theory.” International Journal of Solids and Structures 54 (February 1, 2015): 1–11. https://doi.org/10.1016/j.ijsolstr.2014.11.016.Full Text
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Wiebe, R., L. N. Virgin, and S. M. Spottswood. “Stochastic interrogation of competing responses in a nonlinear distributed system.” Nonlinear Dynamics 79, no. 1 (January 1, 2015): 607–15. https://doi.org/10.1007/s11071-014-1689-2.Full Text
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Witelski, T., L. N. Virgin, and C. George. “A driven system of impacting pendulums: Experiments and simulations.” Journal of Sound and Vibration 333, no. 6 (March 17, 2014): 1734–53. https://doi.org/10.1016/j.jsv.2013.11.004.Full Text
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Lyman, T. C., L. N. Virgin, and R. B. Davis. “Application of continuation methods to uniaxially loaded postbuckled plates.” Journal of Applied Mechanics, Transactions Asme 81, no. 3 (January 1, 2014). https://doi.org/10.1115/1.4024672.Full Text
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Plaut, R. H., and L. N. Virgin. “Deformation and vibration of upright loops on a foundation and of hanging loops.” International Journal of Solids and Structures, 2014.
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Plaut, R. H., and L. N. Virgin. “Deformation and vibration of upright loops on a foundation and of hanging loops.” International Journal of Solids and Structures 51, no. 18 (January 1, 2014): 3067–75. https://doi.org/10.1016/j.ijsolstr.2014.05.003.Full Text
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Virgin, L. N., R. Wiebe, S. M. Spottswood, and T. G. Eason. “Sensitivity in the structural behavior of shallow arches.” International Journal of Non Linear Mechanics 58 (January 1, 2014): 212–21. https://doi.org/10.1016/j.ijnonlinmec.2013.10.003.Full Text
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Waite, J. J., L. N. Virgin, and R. Wiebe. “Competing responses in a discrete mechanical system.” International Journal of Bifurcation and Chaos 24, no. 1 (January 1, 2014). https://doi.org/10.1142/S0218127414300031.Full Text
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Chandra, Y., R. Wiebe, I. Stanciulescu, L. N. Virgin, S. M. Spottswood, and T. G. Eason. “Characterizing dynamic transitions associated with snap-through of clamped shallow arches.” Journal of Sound and Vibration 332, no. 22 (October 28, 2013): 5837–55. https://doi.org/10.1016/j.jsv.2013.06.001.Full Text
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Plaut, R. H., and L. N. Virgin. “Pendulum models of ponytail motion during walking and running.” Journal of Sound and Vibration 332, no. 16 (August 5, 2013): 3768–80. https://doi.org/10.1016/j.jsv.2013.02.016.Full Text
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Hunt, Giles, and Lawrence Virgin. “Michael Thompson: some personal recollections.” Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences 371, no. 1993 (June 2013): 20120449. https://doi.org/10.1098/rsta.2012.0449.Full Text
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Virgin, L. N., and R. Wiebe. “On damping in the vicinity of critical points.” Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences 371, no. 1993 (June 2013): 20120426. https://doi.org/10.1098/rsta.2012.0426.Full Text
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Wiebe, R., L. N. Virgin, I. Stanciulescu, S. M. Spottswood, and T. G. Eason. “Characterizing dynamic transitions associated with snap-through: A discrete system.” Journal of Computational and Nonlinear Dynamics 8, no. 1 (January 30, 2013). https://doi.org/10.1115/1.4006201.Full Text
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Chandra, Y., I. Stanciulescu, L. N. Virgin, T. G. Eason, and S. M. Spottswood. “A numerical investigation of snap-through in a shallow arch-like model.” Journal of Sound and Vibration 332, no. 10 (January 22, 2013): 2532–48. https://doi.org/10.1016/j.jsv.2012.12.019.Full Text
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Wiebe, R., and L. N. Virgin. “A harmonic balance approximation of dynamic snap-through boundaries in a single-degree-of-freedom structure.” Proceedings of the Asme Design Engineering Technical Conference 7 B (January 1, 2013). https://doi.org/10.1115/DETC2013-12615.Full Text
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Witelski, T., L. N. Virgin, and C. George. “A driven system of impacting pendulums: Experiments and simulations.” Journal of Sound and Vibration, 2013.
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Olson, C. C., J. M. Nichols, and L. N. Virgin. “Parameter estimation for chaotic systems using a geometric approach: Theory and experiment.” Nonlinear Dynamics 70, no. 1 (October 1, 2012): 381–91. https://doi.org/10.1007/s11071-012-0461-8.Full Text
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Lyman, T. C., L. N. Virgin, and R. B. Davis. “Application of continuation methods to nonlinear post-buckled structures.” Conference Proceedings of the Society for Experimental Mechanics Series 3 (June 6, 2012): 245–54. https://doi.org/10.1007/978-1-4614-2416-1_20.Full Text
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Phungpaingam, B., L. N. Virgin, and S. Chucheepsakul. “Stability of spatial elastica in a gravitational field.” International Journal of Structural Stability and Dynamics 12, no. 2 (March 1, 2012): 403–21. https://doi.org/10.1142/S0219455412500101.Full Text
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Wiebe, R., and L. N. Virgin. “A heuristic method for identifying chaos from frequency content.” Chaos (Woodbury, N.Y.) 22, no. 1 (March 2012): 013136. https://doi.org/10.1063/1.3675624.Full Text
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Wiebe, R., L. N. Virgin, and T. P. Witelski. “A parametrically forced nonlinear system with reversible equilibria.” International Journal of Bifurcation and Chaos 22, no. 6 (January 1, 2012). https://doi.org/10.1142/S0218127412300200.Full Text
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Gao, Lu, Mukarram A. Tahir, Lawrence N. Virgin, and Benjamin B. Yellen. “Multiplexing superparamagnetic beads driven by multi-frequency ratchets.” Lab on a Chip 11, no. 24 (December 2011): 4214–20. https://doi.org/10.1039/c1lc20683d.Full Text
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Wiebe, R., L. N. Virgin, I. Stanciulescu, and S. M. Spottswood. “On snap-through buckling.” Collection of Technical Papers Aiaa/Asme/Asce/Ahs/Asc Structures, Structural Dynamics and Materials Conference, December 1, 2011. https://doi.org/10.2514/6.2011-2083.Full Text
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Wiebe, R., and L. N. Virgin. “On the identification of chaos from frequency content.” Proceedings of the Asme Design Engineering Technical Conference 4, no. PARTS A AND B (December 1, 2011): 823–28. https://doi.org/10.1115/DETC2011-47473.Full Text
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Santillan, S. T., and L. N. Virgin. “Numerical and experimental analysis of the static behavior of highly deformed risers.” Ocean Engineering 38, no. 13 (September 1, 2011): 1397–1402. https://doi.org/10.1016/j.oceaneng.2011.06.009.Full Text
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Tahir, Mukarram A., Lu Gao, Lawrence N. Virgin, and Benjamin B. Yellen. “Transport of superparamagnetic beads through a two-dimensional potential energy landscape.” Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics 84, no. 1 Pt 1 (July 2011): 011403. https://doi.org/10.1103/physreve.84.011403.Full Text
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Srivastava, R., J. Panovsky, R. Kielb, L. Virgin, and K. Ekici. “Nonlinear flutter in fan stator vanes with time dependent fixity.” Journal of Turbomachinery 134, no. 2 (June 23, 2011). https://doi.org/10.1115/1.4003253.Full Text
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Plaut, R. H., and L. N. Virgin. “Optimal design of cantilevered elastica for minimum tip deflection under self-weight.” Structural and Multidisciplinary Optimization 43, no. 5 (May 1, 2011): 657–64. https://doi.org/10.1007/s00158-010-0611-x.Full Text
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Budd, C., A. Champneys, G. Lord, and L. Virgin. “Introduction to special issue on reflections in nonlinear mechanics.” Ima Journal of Applied Mathematics (Institute of Mathematics and Its Applications) 76, no. 1 (February 1, 2011): 1. https://doi.org/10.1093/imamat/hxq071.Full Text
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Phungpaingam, B., L. N. Virgin, and S. Chucheepsakul. “Stability of spatial elastica including weight effects.” International Journal of Structural Stability and Dynamics 11, no. 6 (2011).
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Tahir, M. A., L. Guo, L. N. Virgin, and B. B. Yellen. “Transport of superparamagnetic beads through a two-dimensional potential energy landscape.” Physical Review E 84, no. 011403 (2011).
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Virgin, L. N. “A block rocking on a seesawing foundation.” Conference Proceedings of the Society for Experimental Mechanics Series 2 (January 1, 2011): 31–39. https://doi.org/10.1007/978-1-4419-9719-7_4.Full Text
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Virgin, L. N., and T. C. Lyman. “Structural dynamics of a frame including axial load effects.” Conference Proceedings of the Society for Experimental Mechanics Series 4 (January 1, 2011): 119–24. https://doi.org/10.1007/978-1-4419-9831-6_14.Full Text
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Gao, L., M. A. Tahir, L. N. Virgin, and B. B. Yellen. “Multiplexing Superparamagnetic Beads Using Phase-Modulated Multi-Frequency Ratchets (Accepted).” Lab on a Chip, 2011.
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Srivastava, R., J. Panovsky, R. Kielb, L. N. Virgin, and K. Ekici. “Non-linear flutter in fan stator vanes with time dependent fixity.” Asme Journal of Turbomachinery 134, no. 021009 (2011).
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Srivastava, R., J. Panovsky, R. Kielb, L. Virgin, and K. Ekici. “Non-linear flutter in fan stator vanes with time dependent fixity.” Proceedings of the Asme Turbo Expo 6, no. PARTS A AND B (December 1, 2010): 1189–99. https://doi.org/10.1115/GT2010-22555.Full Text
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Gao, Lu, Norman J. Gottron, Lawrence N. Virgin, and Benjamin B. Yellen. “The synchronization of superparamagnetic beads driven by a micro-magnetic ratchet.” Lab on a Chip 10, no. 16 (August 2010): 2108–14. https://doi.org/10.1039/c003836a.Full Text Open Access Copy
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Santillan, S. T., L. N. Virgin, and R. H. Plaut. “Static and dynamic behavior of highly deformed risers and pipelines.” Journal of Offshore Mechanics and Arctic Engineering 132, no. 2 (May 1, 2010): 1–6. https://doi.org/10.1115/1.4000555.Full Text
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Virgin, L. N., T. C. Lyman, and R. B. Davis. “Nonlinear dynamics of a ball rolling on a surface.” American Journal of Physics 78, no. 3 (March 1, 2010): 250–57. https://doi.org/10.1119/1.3263169.Full Text
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Plaut, R. H., and L. N. Virgin. “Vibrations and large postbuckling deflections of optimal pinned columns with elastic foundations.” Structural and Multidisciplinary Optimization 40, no. 1–6 (January 1, 2010): 157–64. https://doi.org/10.1007/s00158-008-0354-0.Full Text
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Santillan, S. T., L. N. Virgin, and R. H. Plaut. “Dynamic behavior of highly-deformed risers and pipelines.” Asme Journal of Offshore Mechanics and Arctic Engineering 132 (2010): 021401.
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Plaut, R. H., and L. N. Virgin. “Vibration and snap-through of bent elastica strips subjected to end rotations.” Journal of Applied Mechanics, Transactions Asme 76, no. 4 (December 1, 2009): 1–7. https://doi.org/10.1115/1.3086783.Full Text
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Virgin, L., and D. Holland. “Effect of weight on the experimental modal analysis of slender cantilever beams.” Proceedings of the Asme Design Engineering Technical Conference 1, no. PARTS A AND B (December 1, 2009): 557–60. https://doi.org/10.1115/DETC2009-86149.Full Text
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Yellen, Benjamin B., and Lawrence N. Virgin. “Nonlinear dynamics of superparamagnetic beads in a traveling magnetic-field wave.” Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics 80, no. 1 Pt 1 (July 2009): 011402. https://doi.org/10.1103/physreve.80.011402.Full Text
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Plaut, R. H., and L. N. Virgin. “Vibration and snap-through of bent elastica strips subjected to end rotations.” Journal of Applied Mechanics 76, no. 041011 (2009).
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Yellen, B., and L. N. Virgin. “Non-linear dynamics of superparamagnetic beads in a traveling magnetic field wave.” Physical Review E 80, no. 011402 (2009).
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Santillan, S. T., R. H. Plaut, T. P. Witelski, and L. N. Virgin. “Large oscillations of beams and columns including self-weight.” International Journal of Non Linear Mechanics 43, no. 8 (October 1, 2008): 761–71. https://doi.org/10.1016/j.ijnonlinmec.2008.04.007.Full Text
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Virgin, L. N., S. T. Santillan, and R. H. Plaut. “Vibration isolation using extreme geometric nonlinearity.” Journal of Sound and Vibration 315, no. 3 (August 19, 2008): 721–31. https://doi.org/10.1016/j.jsv.2007.12.025.Full Text
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Holland, D., and L. Virgin. “Experimental modal analysis of solar sail booms.” Collection of Technical Papers Aiaa/Asme/Asce/Ahs/Asc Structures, Structural Dynamics and Materials Conference, July 4, 2008.
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Virgin, L. N., E. H. Dowell, and G. Flowers. “Nonlinear Vibration,” April 8, 2008, 255–67. https://doi.org/10.1002/9780470209707.ch18.Full Text
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Davis, R. B., L. N. Virgin, and A. M. Brown. “Cylindrical shell submerged in bounded acoustic media: A modal approach.” Aiaa Journal 46, no. 3 (March 1, 2008): 752–63. https://doi.org/10.2514/1.31706.Full Text
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Holland, D. B., L. N. Virgin, and R. H. Plaut. “Large deflections and vibration of a tapered cantilever pulled at its tip by a cable.” Journal of Sound and Vibration 310, no. 1–2 (February 5, 2008): 433–41. https://doi.org/10.1016/j.jsv.2007.06.075.Full Text
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Jeffers, A. E., R. H. Plaut, and L. N. Virgin. “Vibration isolation using buckled or pre-bent columns-Part 2: Three-dimensional motions of horizontal rigid plate.” Journal of Sound and Vibration 310, no. 1–2 (February 5, 2008): 421–32. https://doi.org/10.1016/j.jsv.2007.09.039.Full Text
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Plaut, R. H., H. M. Favor, A. E. Jeffers, and L. N. Virgin. “Vibration isolation using buckled or pre-bent columns-Part 1: Two-dimensional motions of horizontal rigid bar.” Journal of Sound and Vibration 310, no. 1–2 (February 5, 2008): 409–20. https://doi.org/10.1016/j.jsv.2007.09.037.Full Text
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Santillan, S. T., L. N. Virgin, and R. H. Plaut. “Static and dynamic behavior of highly-deformed risers and pipelines.” Proceedings of the International Conference on Offshore Mechanics and Arctic Engineering Omae 3 (December 21, 2007): 143–49. https://doi.org/10.1115/OMAE2007-29180.Full Text
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Virgin, L. N., and J. M. Nichols. “An experimental nonlinear oscillator subject to two-frequency excitation.” Conference Proceedings of the Society for Experimental Mechanics Series, December 1, 2007.
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Davis, R. B., and L. N. Virgin. “Non-linear behavior in a discretely forced oscillator.” International Journal of Non Linear Mechanics 42, no. 5 (June 1, 2007): 744–53. https://doi.org/10.1016/j.ijnonlinmec.2007.02.012.Full Text
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Virgin, L. N., S. T. Santillan, and D. B. Holland. “Effect of gravity on the vibration of vertical cantilevers.” Mechanics Research Communications 34, no. 3 (April 1, 2007): 312–17. https://doi.org/10.1016/j.mechrescom.2006.12.006.Full Text
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Todd, Michael D., Jonathan M. Nichols, Stephen T. Trickey, Mark Seaver, Christy J. Nichols, and Lawrence N. Virgin. “Bragg grating-based fibre optic sensors in structural health monitoring.” Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences 365, no. 1851 (February 2007): 317–43. https://doi.org/10.1098/rsta.2006.1937.Full Text
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Davis, R. B., L. N. Virgin, and A. M. Brown. “Cylindrical shell submerged in bounded acoustic media: A modal approach.” Collection of Technical Papers Aiaa/Asme/Asce/Ahs/Asc Structures, Structural Dynamics and Materials Conference 5 (January 1, 2007): 4871–87. https://doi.org/10.2514/6.2007-2110.Full Text
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Stanciulescu, I., L. N. Virgin, and T. A. Laursen. “Finite element analysis of a slender isogrid structure.” Journal of Spacecraft and Rockets 44 (2007): 529–37.
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Stanciulescu, I., L. N. Virgin, and T. A. Laursen. “Slender solar sail booms: Finite element analysis.” Journal of Spacecraft and Rockets 44, no. 3 (January 1, 2007): 528–37. https://doi.org/10.2514/1.20526.Full Text
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Holland, D. B., I. Stanciulescu, L. N. Virgin, and R. H. Plaut. “Vibration and large deflection of cantilevered elastica compressed by angled cable.” Aiaa Journal 44, no. 7 (July 1, 2006): 1468–76. https://doi.org/10.2514/1.18000.Full Text
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Santillan, S. T., L. N. Virgin, and R. H. Plaut. “Post-buckling and vibration of heavy beam on horizontal or inclined rigid foundation.” Journal of Applied Mechanics, Transactions Asme 73, no. 4 (July 1, 2006): 664–71. https://doi.org/10.1115/1.2165237.Full Text
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Chen, H., and L. N. Virgin. “Finite element analysis of post-buckling dynamics in plates-Part I: An asymptotic approach.” International Journal of Solids and Structures 43, no. 13 (June 1, 2006): 3983–4007. https://doi.org/10.1016/j.ijsolstr.2005.04.036.Full Text
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Chen, H., and L. N. Virgin. “Finite element analysis of post-buckling dynamics in plates. Part II: A non-stationary analysis.” International Journal of Solids and Structures 43, no. 13 (June 1, 2006): 4008–27. https://doi.org/10.1016/j.ijsolstr.2005.04.037.Full Text
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Virgin, L. N. “A reflection on nonlinear oscillations, dynamical systems, and bifurcations of vector fields.” Journal of Computational and Nonlinear Dynamics 1, no. 4 (January 1, 2006): 277–78. https://doi.org/10.1115/1.2338659.Full Text
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Plaut, R. H., D. A. Dillard, and L. N. Virgin. “Postbuckling of elastic columns with second-mode imperfection.” Journal of Engineering Mechanics 132, no. 8 (2006): 898–901. https://doi.org/10.1061/(ASCE)0733-9399(2006)132:8(898.Full Text Link to Item
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Holland, D. B., I. Stanciulescu, L. N. Virgin, and R. H. Plaut. “Vibration and large deflection of a beam-cable system.” Collection of Technical Papers Aiaa/Asme/Asce/Ahs/Asc Structures, Structural Dynamics and Materials Conference 3 (December 19, 2005): 2130–42.
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Santillan, S., L. N. Virgin, and R. H. Plaut. “Equilibria and vibration of a heavy pinched loop.” Journal of Sound and Vibration 288, no. 1–2 (November 22, 2005): 81–90. https://doi.org/10.1016/j.jsv.2004.12.016.Full Text
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Xie, J., W. Ding, E. H. Dowell, and L. N. Virgin. “Hopf-flip bifurcation of high dimensional maps and application to vibro-impact systems.” Acta Mechanica Sinica/Lixue Xuebao 21, no. 4 (August 1, 2005): 402–10. https://doi.org/10.1007/s10409-005-0045-7.Full Text
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Plaut, R. H., J. E. Sidbury, and L. N. Virgin. “Analysis of buckled and pre-bent fixed-end columns used as vibration isolators.” Journal of Sound and Vibration 283, no. 3–5 (May 20, 2005): 1216–28. https://doi.org/10.1016/j.jsv.2004.07.029.Full Text
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Moniz, L., J. M. Nichols, C. J. Nichols, M. Seaver, S. T. Trickey, M. D. Todd, L. M. Pecora, and L. N. Virgin. “A multivariate, attractor-based approach to structural health monitoring.” Journal of Sound and Vibration 283, no. 1–2 (May 6, 2005): 295–310. https://doi.org/10.1016/j.jsv.2004.04.016.Full Text
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Plaut, R. H., L. A. Alloway, and L. N. Virgin. “Nonlinear oscillations of a buckled mechanism used as a vibration isolator.” Solid Mechanics and Its Applications 122 (January 1, 2005): 241–50. https://doi.org/10.1007/1-4020-3268-4_23.Full Text
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Stanciulescu, I., L. N. Virgin, and T. A. Laursen. “Finite element analysis of slender solar sail booms.” Collection of Technical Papers Aiaa/Asme/Asce/Ahs/Asc Structures, Structural Dynamics and Materials Conference 3 (January 1, 2005): 2121–29. https://doi.org/10.2514/6.2005-1969.Full Text
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Chen, H., and L. N. Virgin. “Dynamic analysis of modal shifting and mode jumping in thermally buckled plates.” Journal of Sound and Vibration 278, no. 1–2 (November 22, 2004): 233–56. https://doi.org/10.1016/j.jsv.2003.10.054.Full Text
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Todd, M. D., J. M. Nichols, C. J. Nichols, and L. N. Virgin. “An assessment of modal property effectiveness in detecting bolted joint degradation: Theory and experiment.” Journal of Sound and Vibration 275, no. 3–5 (August 23, 2004): 1113–26. https://doi.org/10.1016/j.jsv.2003.10.037.Full Text
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Piiroinen, P. T., L. N. Virgin, and A. R. Champneys. “Chaos and period-adding; experimental and numerical verification of the grazing bifurcation.” Journal of Nonlinear Science 14, no. 4 (August 1, 2004): 383–404. https://doi.org/10.1007/s00332-004-0616-y.Full Text
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Nichols, J. M., C. J. Nichols, M. D. Todd, M. Seaver, S. T. Trickey, and L. N. Virgin. “Use of data-driven phase space models in assessing the strength of a bolted connection in a composite beam.” Smart Materials and Structures 13, no. 2 (April 1, 2004): 241–50. https://doi.org/10.1088/0964-1726/13/2/001.Full Text
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Plaut, R. H., and L. N. Virgin. “Three-dimensional postbuckling and vibration of vertical half-loop under self-weight.” International Journal of Solids and Structures 41, no. 18–19 (January 1, 2004): 4975–88. https://doi.org/10.1016/j.ijsolstr.2004.03.014.Full Text
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Virgin, L. N., and R. H. Plaut. “Postbuckling and vibration of linearly elastic and softening columns under self-weight.” International Journal of Solids and Structures 41, no. 18–19 (January 1, 2004): 4989–5001. https://doi.org/10.1016/j.ijsolstr.2004.03.023.Full Text
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Holland, D. B., L. N. Virgin, and W. K. Belvin. “Investigation of structural dynamics in a 2-meter square solar sail model including axial load effects.” 44th Aiaa/Asme/Asce/Ahs/Asc Structures, Structural Dynamics, and Materials Conference, December 1, 2003.
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Nichols, J. M., S. T. Trickey, M. D. Todd, and L. N. Virgin. “Structural health monitoring through chaotic interrogation.” Meccanica 38, no. 2 (April 16, 2003): 239–50. https://doi.org/10.1023/A:1022898403359.Full Text
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Virgin, L. N., and R. B. Davis. “Vibration isolation using buckled struts [3].” Journal of Sound and Vibration 260, no. 5 (March 6, 2003): 965–73. https://doi.org/10.1016/S0022-460X(02)01177-X.Full Text
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Holland, D. B., L. N. Virgin, and W. K. Belvin. “Investigation of structural dynamics in a 2-meter square solar sail model including axial load effects.” Collection of Technical Papers Aiaa/Asme/Asce/Ahs/Asc Structures, Structural Dynamics and Materials Conference 5 (January 1, 2003): 3192–98. https://doi.org/10.2514/6.2003-1746.Full Text
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Nichols, J. M., L. N. Virgin, M. D. Todd, and J. D. Nichols. “On the use of attractor dimension as a feature in structural health monitoring.” Mechanical Systems and Signal Processing 17, no. 6 (January 1, 2003): 1305–20. https://doi.org/10.1006/mssp.2002.1521.Full Text
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Nichols, J. M., M. D. Todd, M. Seaver, and L. N. Virgin. “Use of chaotic excitation and attractor property analysis in structural health monitoring.” Physical Review E Statistical, Nonlinear, and Soft Matter Physics 67, no. 1 2 (January 1, 2003): 162091–98.
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Nichols, J. M., and L. N. Virgin. “System identification through chaotic interrogation.” Mechanical Systems and Signal Processing 17, no. 4 (January 1, 2003): 871–81. https://doi.org/10.1006/mssp.2001.1471.Full Text
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Virgin, L. N., J. M. Nichols, and S. T. Trickey. “A note on the response spectrum map.” International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 13, no. 5 (January 1, 2003): 1337–41. https://doi.org/10.1142/S0218127403007278.Full Text
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Nichols, J. M., M. D. Todd, M. Seaver, and L. N. Virgin. “Use of chaotic excitation and attractor property analysis in structural health monitoring.” Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics 67, no. 1 Pt 2 (January 2003): 016209. https://doi.org/10.1103/physreve.67.016209.Full Text
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Trickley, S. T., L. N. Virgin, and E. H. Dowell. “The stability of limit-cycle oscillations in a nonlinear aeroelastic system.” Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 458, no. 2025 (September 8, 2002): 2203–26. https://doi.org/10.1098/rspa.2002.0965.Full Text
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Virgin, L. N., and R. H. Plaut. “Use of frequency data to predict secondary bifurcation.” Journal of Sound and Vibration 251, no. 5 (April 11, 2002): 919–26. https://doi.org/10.1006/jsvi.2001.3906.Full Text
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Holland, D. B., L. N. Virgin, M. L. Tinker, and K. N. Slade. “Geometric scaling properties of inflatable structures for use in space solar power generation.” Collection of Technical Papers Aiaa/Asme/Asce/Ahs/Asc Structures, Structural Dynamics and Materials Conference 1 (January 1, 2002): 507–16. https://doi.org/10.2514/6.2002-1264.Full Text
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Todd, M., M. Seaver, S. Trickey, J. Nichols, and L. Virgin. “The use of a high-performance fiber optic measurement system in structural damage assessment.” Proceedings of Spie the International Society for Optical Engineering 4753 I (January 1, 2002): 167–73.
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Todd, M., S. Trickey, M. Seaver, J. Nichols, and L. Virgin. “Structural damage assessment using chaotic dynamic interrogation.” Asme International Mechanical Engineering Congress and Exposition, Proceedings, January 1, 2002, 613–20. https://doi.org/10.1115/IMECE2002-32026.Full Text
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Todd, M., S. Trickey, M. Seaver, J. Nichols, and L. Virgin. “Structural damage assessment using chaotic dynamic interrogation.” American Society of Mechanical Engineers, Dynamic Systems and Control Division (Publication) Dsc 71 (2002): 613–20.
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Slade, K. N., L. N. Virgin, and M. L. Tinker. “Mode splitting in an inflated polyimide cylinder with circumferential asymmetry.” 19th Aiaa Applied Aerodynamics Conference, December 1, 2001.
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Virgin, L. N., J. M. Nichols, W. N. Simmons, and R. H. Plaut. “On the response of a shaken cable-suspended mass.” Proceedings of the Asme Design Engineering Technical Conference 6 B (December 1, 2001): 2109–13.
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Virgin, L. N., U. Aldemir, H. P. Gavin, J. M. Nichols, and R. H. Plaut. “An investigation of a rocking-sliding block.” Proceedings of the Asme Design Engineering Technical Conference 6 B (December 1, 2001): 1279–83.
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Nichols, J. M., L. N. Virgin, and H. P. Gavin. “Damping estimates from experimental non-linear time-series.” Journal of Sound and Vibration 246, no. 5 (October 4, 2001): 815–27. https://doi.org/10.1006/jsvi.2001.3653.Full Text
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Todd, M. D., J. M. Nichols, L. M. Pecora, and L. N. Virgin. “Vibration-based damage assessment utilizing state space geometry changes: local attractor variance ratio.” Smart Materials and Structures 10, no. 5 (October 1, 2001): 1000–1008. https://doi.org/10.1088/0964-1726/10/5/316.Full Text
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Nichols, J. M., and L. N. Virgin. “Practical evaluation of invariant measures for the chaotic response of a two-frequency excited mechanical oscillator.” Nonlinear Dynamics 26, no. 1 (September 1, 2001): 67–86. https://doi.org/10.1023/A:1012923517945.Full Text
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Nichols, J. M., M. D. Todd, L. N. Virgin, and L. M. Pecora. “Vibration-based damage assessment using local attractor variance.” Proceedings of Spie the International Society for Optical Engineering 4330, no. 1 (July 30, 2001): 128–36. https://doi.org/10.1117/12.434112.Full Text
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Donescu, P., and L. N. Virgin. “An implicit boundary element solution with consistent linearization for free surface flows and non-linear fluid-structure interaction of floating bodies.” International Journal for Numerical Methods in Engineering 51, no. 4 (June 10, 2001): 379–412. https://doi.org/10.1002/nme.141.Full Text
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Begley, C. J., and L. N. Virgin. “On the OGY control of an impact-friction oscillator.” Jvc/Journal of Vibration and Control 7, no. 6 (January 1, 2001): 923–31. https://doi.org/10.1177/107754630100700609.Full Text
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Slade, K. N., L. N. Virgin, and M. L. Tinker. “Mode splitting in an inflated polyimide cylinder with circumferential asymmetry.” Collection of Technical Papers Aiaa/Asme/Asce/Ahs/Asc Structures, Structural Dynamics and Materials Conference 3 (January 1, 2001): 1720–28.
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Todd, M. D., J. M. Nichols, L. M. Pecora, and L. N. Virgin. “Novel nonlinear feature identification in vibration-based damage detection using local attractor variance.” Proceedings of the International Modal Analysis Conference Imac 1 (January 1, 2001): 438–44.
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Trickey, S. T., L. N. Virgin, and E. H. Dowell. “Characterizing stability of responses in a nonlinear aeroelastic system.” 41st Structures, Structural Dynamics, and Materials Conference and Exhibit, December 1, 2000.
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Trickey, S. T., L. N. Virgin, and E. H. Dowell. “Characterizing stability of responses in a nonlinear aeroelastic system.” Collection of Technical Papers Aiaa/Asme/Asce/Ahs/Asc Structures, Structural Dynamics and Materials Conference 1, no. I (January 1, 2000): 57–62.
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Virgin, L. N., and C. J. Begley. “Grazing bifurcations and basins of attraction in an impact-friction oscillator.” Physica D: Nonlinear Phenomena 130, no. 1–2 (June 1, 1999): 43–57. https://doi.org/10.1016/S0167-2789(99)00016-0.Full Text
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Virgin, L. N., E. H. Dowell, and M. D. Conner. “On the evolution of deterministic non-periodic behavior of an airfoil.” International Journal of Non Linear Mechanics 34, no. 3 (January 1, 1999): 499–514. https://doi.org/10.1016/S0020-7462(98)00038-9.Full Text
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Virgin, L. N., and C. J. Begley. “Grazing bifurcations and basins of attraction in an impact-friction oscillator.” Physica D: Nonlinear Phenomena 130, no. 1–2 (1999): 43–57.
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Trickey, S. T., and L. N. Virgin. “Bottlenecking phenomenon near a saddle-node remnant in a Duffing oscillator.” Physics Letters, Section A: General, Atomic and Solid State Physics 248, no. 2–4 (November 9, 1998): 185–90. https://doi.org/10.1016/S0375-9601(98)00665-3.Full Text
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Hu, H. Y., E. H. Dowell, and L. N. Virgin. “Stability estimation of high dimensional vibrating systems under state delay feedback control.” Journal of Sound and Vibration 214, no. 3 (July 16, 1998): 497–511. https://doi.org/10.1006/jsvi.1998.1548.Full Text
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Begley, C. J., and L. N. Virgin. “Impact response and the influence of friction.” Journal of Sound and Vibration 211, no. 5 (April 16, 1998): 801–18. https://doi.org/10.1006/jsvi.1997.1389.Full Text
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Hu, H., E. H. Dowell, and L. N. Virgin. “Resonances of a Harmonically Forced Duffing Oscillator with Time Delay State Feedback.” Nonlinear Dynamics 15, no. 4 (January 1, 1998): 311–27. https://doi.org/10.1023/A:1008278526811.Full Text
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Tang, D., E. H. Dowell, and L. N. Virgin. “Limit cycle behavior of an airfoil with a control surface.” Journal of Fluids and Structures 12, no. 7 (January 1, 1998): 839–58. https://doi.org/10.1006/jfls.1998.0174.Full Text
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Virgin, L. N., M. D. Todd, C. J. Begley, S. T. Trickey, and E. H. Dowell. “Basins of attraction in experimental nonlinear oscillators.” International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 8, no. 3 (January 1, 1998): 521–33. https://doi.org/10.1142/S0218127498000334.Full Text
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Virgin, L. N., M. D. Todd, C. J. Begley, S. T. Trickey, and E. H. Dowell. “Basins of attraction in experimental nonlinear oscillators.” International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 8, no. 3 (1998): 521–33.
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Begley, C. J., and L. N. Virgin. “A detailed study of the low-frequency periodic beliavior of a dry friction oscillator.” Journal of Dynamic Systems, Measurement and Control, Transactions of the Asme 119, no. 3 (January 1, 1997): 491–97. https://doi.org/10.1115/1.2801284.Full Text
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Conner, M. D., D. M. Tang, E. H. Dowell, and L. N. Virgin. “Nonlinear behavior of a typical airfoil section with control surface freeplay: A numerical and experimental study.” Journal of Fluids and Structures 11, no. 1 (January 1, 1997): 89–109. https://doi.org/10.1006/jfls.1996.0068.Full Text
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Fielder, W. T., L. N. Virgin, and R. H. Plaut. “Experiments and simulation of overturning of an asymmetric rocking block on an oscillating foundation.” European Journal of Mechanics, A/Solids 16, no. 5 (January 1, 1997): 905–23.
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Slade, K. N., L. N. Virgin, and P. V. Bayly. “Extracting information from interimpact intervals in a mechanical oscillator.” Physical Review E Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics 55, no. 3 (January 1, 1997): 3705–7. https://doi.org/10.1103/PhysRevE.56.3705.Full Text
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Todd, M. D., and L. N. Virgin. “An experimental verification of basin metamorphoses in a nonlinear mechanical system.” International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 7, no. 6 (January 1, 1997): 1337–57. https://doi.org/10.1142/S0218127497001060.Full Text
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Todd, M. D., and L. N. Virgin. “An experimental impact oscillator.” Chaos, Solitons and Fractals 8, no. 4 SPEC. ISS. (January 1, 1997): 699–714. https://doi.org/10.1016/s0960-0779(96)00112-9.Full Text
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Murphy, K. D., L. N. Virgin, and S. A. Rizzi. “The effect of thermal prestress on the free vibration characteristics of clamped rectangular plates: theory and experiment.” Trans. Asme. J. Vib. Acoust. (Usa) 119, no. 2 (1997): 243–49.
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Donescu, P., and L. N. Virgin. “Free surface flow computation using a fully consistent method.” American Society of Mechanical Engineers, Fluids Engineering Division (Publication) Fed 238 (December 1, 1996): 421–26.
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Slade, K. N., and L. N. Virgin. “Monitoring the behavior of an experimental impacting system.” American Society of Mechanical Engineers, Design Engineering Division (Publication) De 90 (December 1, 1996): 75–84.
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Todd, M. D., and L. N. Virgin. “Natural frequency considerations of an impact oscillator.” Journal of Sound and Vibration 194, no. 3 (July 18, 1996): 452–60. https://doi.org/10.1006/jsvi.1996.0370.Full Text
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Donescu, P., L. N. Virgin, and J. J. Wu. “Periodic solutions of an unsymmetric oscillator including a comprehensive study of their stability characteristics.” Journal of Sound and Vibration 192, no. 5 (May 23, 1996): 959–76. https://doi.org/10.1006/jsvi.1996.0228.Full Text
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Virgin, L. N., W. T. Fielder, and R. H. Plaut. “Transient motion and overturning of a rocking block on a seesawing foundation.” Journal of Sound and Vibration 191, no. 1 (March 21, 1996): 177–87. https://doi.org/10.1006/jsvi.1996.0114.Full Text
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Conner, M. D., L. N. Virgin, and E. H. Dowell. “Accurate numerical integration of state-space models for aeroelastic systems with free play.” Aiaa Journal 34, no. 10 (January 1, 1996): 2202–5. https://doi.org/10.2514/3.13377.Full Text
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Conner, M. D., P. Donescu, and L. N. Virgin. “On the global convergence characteristics of numerically evaluated jacobian matrices: Technical note.” Nonlinear Dynamics 10, no. 2 (January 1, 1996): 165–74. https://doi.org/10.1007/BF00045455.Full Text
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Donescu, P., and L. N. Virgin. “Efficient determination of higher-order periodic solutions using n-mode harmonic balance.” Ima Journal of Applied Mathematics (Institute of Mathematics and Its Applications) 56, no. 1 (January 1, 1996): 21–32. https://doi.org/10.1093/imamat/56.1.21.Full Text
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Plaut, R. H., W. T. Fielder, and L. N. Virgin. “Fractal Behavior of an Asymmetric Rigid Block Overturning Due to Harmonic Motion of a Tilted Foundation.” Chaos, Solitons and Fractals 7, no. 2 (January 1, 1996): 177–96. https://doi.org/10.1016/0960-0779(95)00059-3.Full Text
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Todd, M. D., L. N. Virgin, and J. A. Gottwald. “The nonstationary transition through resonance.” Nonlinear Dynamics 10, no. 1 (January 1, 1996): 31–48. https://doi.org/10.1007/BF00114797.Full Text
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Murphy, K. D., L. N. Virgin, and S. A. Rizzi. “Experimental snap-through boundaries for acoustically excited, thermally buckled plates.” Experimental Mechanics 36, no. 4 (1996): 312–17.
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Murphy, K. D., L. N. Virgin, and S. A. Rizzi. “Characterizing the dynamic response of a thermally loaded, acoustically excited plate.” Journal of Sound and Vibration 196, no. 5 (1996): 635–58. https://doi.org/10.1006/jsvi.1996.0506.Full Text Link to Item
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Fielder, W. T., L. N. Virgin, and R. H. Plaut. “Experiments on a rocking block.” American Society of Mechanical Engineers, Design Engineering Division (Publication) De 84, no. 3 Pt A/1 (December 1, 1995): 781–86.
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Murphy, K. D., L. N. Virgin, and S. A. Rizzi. “Experimental study of the forced response of pre- and post-critical plates.” American Society of Mechanical Engineers, Design Engineering Division (Publication) De 84, no. 3 Pt A/1 (December 1, 1995): 695–701.
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Gottwald, J. A., L. N. Virgin, and E. H. Dowell. “Routes to escape from an energy well.” Journal of Sound and Vibration 187, no. 1 (October 19, 1995): 133–44. https://doi.org/10.1006/jsvi.1995.0506.Full Text
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Begley, C. J., and L. N. Virgin. “A comparison of piecewise linear and continuous approximating models.” Mechanics Research Communications 22, no. 6 (January 1, 1995): 527–32. https://doi.org/10.1016/0093-6413(95)00057-7.Full Text
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Fielder, W. T., L. N. Virgin, and R. H. Plaut. “Overturning of a rigid block under horizontal base excitation.” Proceedings of Engineering Mechanics 1 (January 1, 1995): 195–98.
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Plaut, R. H., K. D. Murphy, and L. N. Virgin. “Curve and surface veering for a braced column.” J. Sound Vib. (Uk) 187, no. 5 (1995): 879–85. https://doi.org/10.1006/jsvi.1995.0570.Full Text Link to Item
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Virgin, L. N., T. F. Walsh, and J. D. Knight. “Nonlinear behavior of a magnetic bearing system.” Trans. Asme, J. Eng. Gas Turbines Power (Usa) 117, no. 3 (1995): 582–88.
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Bayly, P. V., and L. N. Virgin. “Practical considerations in the control of chaos.” Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics 50, no. 1 (July 1994): 604–7. https://doi.org/10.1103/physreve.50.604.Full Text
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Murphy, K. D., P. V. Bayly, L. N. Virgin, and J. A. Gottwald. “Measuring the stability of periodic attractors using perturbation-induced transients: applications to two non-linear oscillators.” Journal of Sound and Vibration 172, no. 1 (1994): 85–102. https://doi.org/10.1006/jsvi.1994.1160.Full Text Link to Item
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Virgin, L. N., T. F. Walsh, and J. D. Knight. “Nonlinear behavior of a magnetic bearing system.” American Society of Mechanical Engineers (Paper), January 1, 1994, 1–7.
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Virgin, L. N., T. F. Walsh, and J. D. Knight. “Nonlinear behavior of a magnetic bearing system.” Proceedings of the Asme Turbo Expo 5 (January 1, 1994). https://doi.org/10.1115/94-GT-341.Full Text
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Virgin, L. N., and B. K. Erickson. “A new approach to the overturning stability of floating structures.” Ocean Engineering 21, no. 1 (January 1, 1994): 67–80. https://doi.org/10.1016/0029-8018(94)90030-2.Full Text
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Virgin, L. N., and K. D. Murphy. “On the behavior of characteristic multipliers through a period-doubling sequence.” Journal of Sound and Vibration 169, no. 5 (1994): 699–703. https://doi.org/10.1006/jsvi.1994.1042.Full Text Link to Item
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Virgin, L. N., and R. H. Plaut. “Effect Of Axial Load On Forced Vibrations Of Beams.” Journal of Sound and Vibration 168, no. 3 (December 22, 1993): 395–405. https://doi.org/10.1006/jsvi.1993.1382.Full Text
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Donescu, P., and L. N. Virgin. “Nonlinear coupled heave and roll oscillations of a ship in beam seas.” American Society of Mechanical Engineers, Dynamic Systems and Control Division (Publication) Dsc 51 (December 1, 1993): 21–28.
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Reynolds, R. R., E. H. Dowell, D. Tang, and L. N. Virgin. “Nonlinear behavior of low aspect ratio panels in subsonic flow: a preliminary study.” American Society of Mechanical Engineers, Aerospace Division (Publication) Ad 33 (December 1, 1993): 9–12.
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Reynolds, R. R., L. N. Virgin, and E. H. Dowell. “High-dimensional chaos can lead to weak turbulence.” Nonlinear Dynamics 4, no. 6 (December 1, 1993): 531–46. https://doi.org/10.1007/BF00162231.Full Text
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Bayly, P. V., and L. N. Virgin. “On the stability of forced radial oscillations of an experimental spring pendulum.” American Society of Mechanical Engineers, Design Engineering Division (Publication) De 56 (December 1, 1993): 229–36.
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“An empirical study of the stability of periodic motion in the forced spring-pendulum.” Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences 443, no. 1918 (November 8, 1993): 391–408. https://doi.org/10.1098/rspa.1993.0152.Full Text
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Bayly, P. V., and L. N. Virgin. “An experimental study of an impacting pendulum.” Journal of Sound and Vibration 164, no. 2 (June 22, 1993): 364–74. https://doi.org/10.1006/jsvi.1993.1220.Full Text
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Virgin, L. N. “Dynamic characteristics of deteriorating engineering structures.” Applied Mechanics Reviews 46, no. 5 (1993): 220–26.
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Gottwald, J. A., L. N. Virgin, and E. H. Dowell. “Experimental mimicry of Duffing's equation.” Journal of Sound and Vibration 158, no. 3 (November 8, 1992): 447–67. https://doi.org/10.1016/0022-460X(92)90419-X.Full Text
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Virgin, L. N., R. H. Plaut, and C. C. Cheng. “Prediction of escape from a potential well under harmonic excitation.” International Journal of Non Linear Mechanics 27, no. 3 (January 1, 1992): 357–65. https://doi.org/10.1016/0020-7462(92)90005-R.Full Text
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Bayly, P. V., and L. N. Virgin. “Experimental evidence of diffusive dynamics and `random walking' in a simple deterministic mechanical system: the shaken pendulum.” Int. J. Bifurcation Chaos Appl. Sci. Eng. (Singapore) 2, no. 4 (1992): 983–88.
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Bayly, P. V., and L. N. Virgin. “Chaotic rattling of a piecewise nonlinear oscillator.” American Society of Mechanical Engineers (Paper), December 1, 1991, 1–6.
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Virgin, L. N., and L. A. Cartee. “A note on the escape from a potential well.” International Journal of Non Linear Mechanics 26, no. 3–4 (January 1, 1991): 449–52. https://doi.org/10.1016/0020-7462(91)90074-4.Full Text
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Dowell, E. H., and L. N. Virgin. “On spatial chaos, asymptotic modal analysis, and turbulence.” Journal of Applied Mechanics, Transactions Asme 57, no. 4 (January 1, 1990): 1094–97. https://doi.org/10.1115/1.2897637.Full Text
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Plaut, R. H., and L. N. Virgin. “Use of frequency data to predict buckling.” Journal of Engineering Mechanics 116, no. 10 (January 1, 1990): 2330–35. https://doi.org/10.1061/(ASCE)0733-9399(1990)116:10(2330).Full Text
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Virgin, L. N., and S. R. Bishop. “Catchment Regions of Multiple Dynamic Responses in Nonlinear Problems of Offshore Mechanics.” Journal of Offshore Mechanics and Arctic Engineering 112, no. 2 (January 1, 1990): 127–33. https://doi.org/10.1115/1.2919846.Full Text
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Virgin, L. N. “Approximate criterion for capsize based on deterministic dynamics.” Dynamics and Stability of Systems 4, no. 1 (January 1, 1989): 56–70. https://doi.org/10.1080/02681118908806062.Full Text
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Virgin, L. N. “Approximate criterion for capsize based on deterministic dynamics.” Dynamics and Stability of Systems 4, no. 1 (1989): 55–70.
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Virgin, L. N. “On the harmonic response of an oscillator with unsymmetric restoring force.” Journal of Sound and Vibration 126, no. 1 (October 8, 1988): 157–65. https://doi.org/10.1016/0022-460X(88)90405-1.Full Text
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Thompson, J. M. T., and L. N. Virgin. “Spatial chaos and localization phenomena in nonlinear elasticity.” Physics Letters A 126, no. 8–9 (January 25, 1988): 491–96. https://doi.org/10.1016/0375-9601(88)90045-X.Full Text
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Bishop, S. R., L. N. Virgin, and D. L. M. Leung. “On the computation of domains of attraction during the dynamic modelling of oscillating systems.” Applied Mathematical Modelling 12, no. 5 (January 1, 1988): 503–16. https://doi.org/10.1016/0307-904X(88)90088-1.Full Text
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Bishop, S. R., and L. N. Virgin. “The onset of chaotic motions of a moored semi-submersible.” Journal of Offshore Mechanics and Arctic Engineering 110, no. 3 (January 1, 1988): 205–9. https://doi.org/10.1115/1.3257052.Full Text
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Virgin, L. N., and S. R. Bishop. “Complex dynamics and chaotic responses in the time domain simulations of a floating structure.” Ocean Engineering 15, no. 1 (January 1, 1988): 71–90. https://doi.org/10.1016/0029-8018(88)90020-0.Full Text
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Virgin, L. N., and S. R. Bishop. “Catchment regions of multiple dynamic responses in nonlinear problems of offshore mechanics.” In: Omae 1988 Houston, Proc. 7th Int. Conf. on Offshore Mechanics and Arctic Engineering, (Houston, U.S.A.: Feb. 7 12, 1988), II, New York, U.S.A., Am. Soc. Mech. Engrs., 1988 (January 1, 1988): 15–22.
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Virgin, L. N., and S. R. Bishop. “CATCHMENT REGIONS OF MULTIPLE DYNAMIC RESPONSES IN NONLINEAR PROBLEMS OF OFFSHORE MECHANICS.” Proceedings of the International Offshore Mechanics and Arctic Engineering Symposium 2 (January 1, 1988): 15–22.
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Bishop, S. R., L. M. Leung, and L. N. Virgin. “Predicting incipient jumps to resonance of compliant marine structures in an evolving sea-state.” Journal of Offshore Mechanics and Arctic Engineering 109, no. 3 (January 1, 1987): 223–28. https://doi.org/10.1115/1.3257013.Full Text
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Bishop, S. R., and L. N. Virgin. “The onset of chaotic motions of a moored semi-submersible.” In: Proc. Asme Sixth (1987) Int. Offshore Mechanics and Arctic Engineering Symp., (Houston, U.S.A.: Mar. 1 6, 1987) II, J.S. Chung; S. Berg; S.K. Chakrabarti; S.R. Montgomery (eds.), New York, U.S.A., Am. Soc. Mech. (January 1, 1987).
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Bishop, S. R., and L. N. Virgin. “ONSET OF CHAOTIC MOTIONS OF A MOORED SEMI-SUBMERSIBLE.” Proceedings of the International Offshore Mechanics and Arctic Engineering Symposium 2 (January 1, 1987): 319–23.
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Virgin, L. N. “Free vibrations of imperfect cantilever bars under self-weight loading.” Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 201, no. 5 (January 1, 1987): 345–47. https://doi.org/10.1243/PIME_PROC_1987_201_133_02.Full Text
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Virgin, L. N. “FREE VIBRATIONS OF IMPERFECT CANTILEVER BARS UNDER SELF-WEIGHT LOADING.” Proceedings of the Institution of Mechanical Engineers. Part C. Mechanical Engineering Science 201, no. C5 (1987): 345–47.
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Virgin, L. N. “The nonlinear rolling response of a vessel including chaotic motions leading to capsize in regular seas.” Applied Ocean Research 9, no. 2 (January 1, 1987): 89–95. https://doi.org/10.1016/0141-1187(87)90011-3.Full Text
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Virgin, L. N. “Parametric studies of the dynamic evolution through a fold.” Journal of Sound and Vibration 110, no. 1 (October 8, 1986): 99–109. https://doi.org/10.1016/S0022-460X(86)80077-3.Full Text
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Thompson, J. M. T., and L. N. Virgin. “Predicting a jump to resonance using transient maps and beats.” International Journal of Non Linear Mechanics 21, no. 3 (January 1, 1986): 205–16. https://doi.org/10.1016/0020-7462(86)90004-1.Full Text
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Virgin, L. N. “Postbuckling dynamics of struts as related to their loading devices.” Engineering Structures 8, no. 2 (January 1, 1986): 127–33. https://doi.org/10.1016/0141-0296(86)90028-3.Full Text
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Virgin, L. N. “The dynamics of symmetric post-buckling.” International Journal of Mechanical Sciences 27, no. 4 (January 1, 1985): 235–48. https://doi.org/10.1016/0020-7403(85)90082-7.Full Text
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Bishop, S. R., and L. N. Virgin. “The onset of chaotic motions of a moored semi-submersible. (Accepted)” In: Proc. Asme Sixth (1987) Int. Offshore Mechanics and Arctic Engineering Symp., (Houston, U.S.A.: Mar. 1 6, 1987) II, J.S. Chung; S. Berg; S.K. Chakrabarti; S.R. Montgomery (n.d.).
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Book Sections
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Virgin, L. “Vibration isolation.” In CISM International Centre for Mechanical Sciences, Courses and Lectures, 536:111–34, 2012. https://doi.org/10.1007/978-3-7091-1187-1_3.Full Text
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Virgin, L., and D. Wagg. “Introductory material.” In CISM International Centre for Mechanical Sciences, Courses and Lectures, 536:1–52, 2012. https://doi.org/10.1007/978-3-7091-1187-1_1.Full Text
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Conference Papers
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Xu, Y., L. N. Virgin, and R. Wiebe. “Inferring unstable equilibrium configurations from observed dynamics.” In Conference Proceedings of the Society for Experimental Mechanics Series, 199–201, 2021. https://doi.org/10.1007/978-3-030-47626-7_29.Full Text
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Xu, Y., and L. N. Virgin. “Force probing to access potential energy.” In Conference Proceedings of the Society for Experimental Mechanics Series, 55–57, 2021. https://doi.org/10.1007/978-3-030-47626-7_9.Full Text
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Virgin, L. N., Y. Susan Guan, and R. H. Plaut. “Curved structures that can elastically snap-through.” In Conference Proceedings of the Society for Experimental Mechanics Series, 1:275–77, 2019. https://doi.org/10.1007/978-3-319-74280-9_28.Full Text
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Knight, J. D., L. N. Virgin, and R. H. Plaut. “Predicting Critical Speeds in Rotordynamics: A New Method.” In Journal of Physics: Conference Series, Vol. 744, 2016. https://doi.org/10.1088/1742-6596/744/1/012155.Full Text
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Virgin, L. N., R. Wiebe, S. M. Spottswood, and T. Beberniss. “Inferring unstable equilibrium configurations from experimental data.” In Journal of Physics: Conference Series, Vol. 744, 2016. https://doi.org/10.1088/1742-6596/744/1/012090.Full Text
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Detroux, T., J. P. Noël, G. Kerschen, and L. N. Virgin. “Experimental study of isolated response curves in a two-degree-of-freedom nonlinear system.” In Conference Proceedings of the Society for Experimental Mechanics Series, 1:229–35, 2016. https://doi.org/10.1007/978-3-319-29739-2_21.Full Text
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Virgin, L. N., R. H. Plaut, and E. V. Cartee. “The effect of gravity on a slender loop structure.” In Conference Proceedings of the Society for Experimental Mechanics Series, 1:185–90, 2016. https://doi.org/10.1007/978-3-319-15221-9_16.Full Text
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Nöel, J. P., T. Detroux, L. Masset, G. Kerschen, and L. N. Virgin. “Isolated response curves in a base-excited, two-degree-of-freedom, nonlinear system.” In Proceedings of the Asme Design Engineering Technical Conference, Vol. 6, 2015. https://doi.org/10.1115/DETC2015-46106.Full Text
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Virgin, L. N., J. J. Waite, and R. Wiebe. “Co-existing responses in a harmonically-excited nonlinear structural system.” In Conference Proceedings of the Society for Experimental Mechanics Series, 2:1–9, 2014. https://doi.org/10.1007/978-3-319-04522-1_1.Full Text
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Virgin, L. N., and R. H. Plaut. “Some non-smooth dynamical systems in offshore mechanics.” In Lecture Notes in Applied and Computational Mechanics, 44:259–68, 2009. https://doi.org/10.1007/978-3-642-00629-6_26.Full Text
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Santillan, S. T., L. N. Virgin, and R. H. Plaut. “Nonlinear two-dimensional elastica analysis of subsea risers.” In 7th European Conference on Structural Dynamics, Eurodyn 2008, 2008.
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Todd, M. D., J. Nichols, M. Seaver, S. Trickey, L. Virgin, L. Pecora, and T. Carroll. “Development and application of chaotic attractor property analysis for vibration-based structural damage assessment.” In Aip Conference Proceedings, 676:315–26, 2003. https://doi.org/10.1063/1.1612228.Full Text
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Nichols, J. M., L. Moniz, M. D. Todd, S. T. Trickey, M. Seaver, C. J. Nichols, and L. N. Virgin. “Detection of fastener preload loss in a hybrid composite-to-metal bolted joint.” In Structural Health Monitoring 2003: From Diagnostics and Prognostics to Structural Health Management Proceedings of the 4th International Workshop on Structural Health Monitoring, Iwshm 2003, 623–33, 2003.
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VIRGIN, L. A. W. R. E. N. C. E., S. T. E. P. H. E. N. TRICKEY, and E. A. R. L. DOWELL. “STABILITY TRANSITIONS IN A NONLINEAR AIRFOIL.” In Proceedings of the 5th Experimental Chaos Conference. WORLD SCIENTIFIC, 2001. https://doi.org/10.1142/9789812811516_0033.Full Text
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Slade, K. N., L. N. Virgin, and M. L. Tinker. “Mode splitting in an inflated polyimide cylinder with circumferential asymmetry.” In 19th Aiaa Applied Aerodynamics Conference, 2001. https://doi.org/10.2514/6.2001-1411.Full Text
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Trickey, S. T., L. N. Virgin, and E. H. Dowell. “Characterizing stability of responses in a nonlinear aeroelastic system.” In 41st Structures, Structural Dynamics, and Materials Conference and Exhibit, 2000. https://doi.org/10.2514/6.2000-1334.Full Text
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Virgin, L. N., and C. J. Begley. “Nonlinear features in the dynamics of an impact-friction oscillator.” In Stochastic and Chaotic Dynamics in the Lakes, edited by D. S. Broomhead, E. A. Luchinskaya, P. V. E. McClintock, and T. Mullin, 502:469–75. AMER INST PHYSICS, 2000.Link to Item
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Conner, M. D., D. M. Tang, E. H. Dowell, and L. N. Virgin. “Nonlinear aeroelasticity of an airfoil with control surface freeplay.” In 35th Aerospace Sciences Meeting and Exhibit, 1997.
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Conner, M. D., D. M. Tang, E. H. Dowell, and L. N. Virgin. “Nonlinear aeroelasticity of an airfoil with control surface freeplay.” In 35th Aerospace Sciences Meeting and Exhibit, 1997.
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Fielder, W. T., L. N. Virgin, and R. H. Plaut. “Experiments on a rocking block.” In Proceedings of the Asme Design Engineering Technical Conference, 3A-1995:781–86, 1995. https://doi.org/10.115/DETC-1995-0319.Full Text
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Murphy, K. D., L. N. Virgin, and S. A. Rizzi. “An experimental study of the forced response of pre- And post-critical plates.” In Proceedings of the Asme Design Engineering Technical Conference, 3A-1995:695–701, 1995. https://doi.org/10.115/DETC-1995-0310.Full Text
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BAYLY, P. V., L. N. VIRGIN, J. A. GOTTWALD, and E. H. DOWELL. “STABILITY MEASUREMENTS IN NONLINEAR MECHANICAL EXPERIMENTS GUIDED BY DYNAMICAL SYSTEMS THEORY.” In Nonlinearity and Chaos in Engineering Dynamics, edited by J. M. T. Thompson and S. R. Bishop, 59–70. JOHN WILEY & SONS LTD, 1994.Link to Item
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MURPHY, K. D., L. N. VIRGIN, and S. A. RIZZI. “FREE VIBRATION OF THERMALLY LOADED PANELS INCLUDING INITIAL IMPERFECTIONS AND POST-BUCKLING EFFECTS.” In Structural Dynamics: Recent Advances Proceedings of the 5th International Conference, Vols I and Ii, edited by N. S. Ferguson, H. F. Wolfe, and C. Mei, 401–11. INST SOUND VIBRATION RESEARCH, 1994.Link to Item
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Bayly, P. V., and L. N. Virgin. “On the stability of forced radial oscillations of an experimental spring pendulum.” In Proceedings of the Asme Design Engineering Technical Conference, Part F167972-5:229–36, 1993. https://doi.org/10.1115/DETC1993-0110.Full Text
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