Brian Mann | Scholars@Duke

Brian Mann
Professor in the Department of Mechanical Engineering and Materials Science

Current Research Interests

Nonlinear dynamics and vibration utilizing analytical, numerical, and experimental techniques. Fundamental investigations of phenomenon and application areas where dynamical systems theory plays an important role.

Current Appointments & Affiliations

Professor in the Department of Mechanical Engineering and Materials Science, Mechanical Engineering and Materials Science, Pratt School of Engineering 2016
Jeffrey N. Vinik Professor of Mechanical Engineering and Materials Science, Mechanical Engineering and Materials Science, Pratt School of Engineering 2017 - 2019
Faculty Network Member of The Energy Initiative, Duke University Energy Initiative, Initiatives 2012

Contact Information

238 Hudson Hall, Box 90300, Durham, NC 27708
238 Hudson Hall, Box 90300, Durham, NC 27708-0300
brian.mann@duke.edu (919) 660-5214
Duke Research in Engineering and Surgical Technologies

Background
Education, Training, & Certifications
- D.Sc., Washington University 2003
- M.S., Washington University 1999
- B.S., University of Missouri at Columbia 1996
Duke Appointment History
- Director of Graduate Studies in the Department of Mechanical Engineering and Materials Science, Mechanical Engineering and Materials Science, Pratt School of Engineering 2015 - 2018
- Associate Professor in the Department of Mechanical Engineering and Materials Science, Mechanical Engineering and Materials Science, Pratt School of Engineering 2011 - 2015
- Assist Professor in the Department of Civil and Environmental Engineering, Civil and Environmental Engineering, Pratt School of Engineering 2009 - 2012
- Assistant Professor of Mechanical Engineering and Materials Science, Mechanical Engineering and Materials Science, Pratt School of Engineering 2007 - 2010
Recognition
Awards & Honors
Expertise
Subject Headings
Research
Selected Grants
- Non-smooth Dynamics of Constrained Task-oriented Dynamical Systems awarded by Army Research Office 2017 - 2020
- Dynamics of Networks with Delays awarded by Army Research Office 2016
- Collaborative Research: Tailoring Energy Flow in Magnetic Oscillators Arrays awarded by National Science Foundation 2013 - 2016
- Interactions for Broadband Energy Harvesting awarded by Office of Naval Research 2011 - 2014
- Collaborative Proposal: Stability, Identification, and Stochastic Resonance in Stochastic Delay Systems awarded by National Science Foundation 2009 - 2012
- Nonlinear Interactions for Broadband Energy Harvesting awarded by Army Research Office 2010 - 2012
- Broadband Energy Harvesting with Adaptive Piezoelectric Systems awarded by Office of Naval Research 2009 - 2011
- Broadband Energy Harvesting in Varied and Uncertain Environments awarded by Office of Naval Research 2008 - 2011
- Equipment in Support of Broadband Energy Harvesting awarded by Office of Naval Research 2010 - 2011
- GOALI: Fundamental Nonlinear Investigations of Dynamic Nanoindentation awarded by National Science Foundation 2008 - 2010
- CAREER: Measurement and Predictive Dynamics of Meso-scale Milling awarded by National Science Foundation 2007 - 2010
- Broadband Energy Harvesting with Adaptive Piezoelectric Systems awarded by Office of Naval Research 2008 - 2009
- Generating Energy from Ocean Waves awarded by Lord Foundation of North Carolina 2008 - 2009
Publications & Artistic Works
Selected Publications
- Academic Articles
  - Chen, H-J, Sequeira, D, and Mann, BP. "Stability of coupled human and stand-up paddle board." Sports Engineering 21, no. 4 (December 2018): 429-440. Full Text
  - Pennisi, G, Mann, BP, Naclerio, N, Stephan, C, and Michon, G. "Design and experimental study of a Nonlinear Energy Sink coupled to an electromagnetic energy harvester." Journal of Sound and Vibration 437 (December 2018): 340-357. Full Text
  - Bernard, BP, and Mann, BP. "Increasing viability of nonlinear energy harvesters by adding an excited dynamic magnifier." Journal of Intelligent Material Systems and Structures 29, no. 6 (April 2018): 1196-1205. Full Text
  - Mazzoleni, MJ, Battaglini, CL, Martin, KJ, Coffman, EM, Ekaidat, JA, Wood, WA, and Mann, BP. "A dynamical systems approach for the submaximal prediction of maximum heart rate and maximal oxygen uptake." Sports Engineering 21, no. 1 (March 2018): 31-41. Full Text
  - Wang, X-S, Mazzoleni, MJ, and Mann, BP. "Dynamics of unforced and vertically forced rocking elliptical and semi-elliptical disks." Journal of Sound and Vibration 417 (March 2018): 341-358. Full Text
  - Sequeira, D, Wang, X-S, and Mann, BP. "On the manifestation of coexisting nontrivial equilibria leading to potential well escapes in an inhomogeneous floating body." Physica D: Nonlinear Phenomena 365 (February 2018): 80-90. Full Text
  - Panigrahi, SR, Bernard, BP, Feeny, BF, Mann, BP, and Diaz, AR. "Snap-through twinkling energy generation through frequency up-conversion." Journal of Sound and Vibration 399 (July 2017): 216-227. Full Text
  - Turner, JD, Mazzoleni, MJ, Little, JA, Sequeira, D, and Mann, BP. "A nonlinear model for the characterization and optimization of athletic training and performance." Biomedical Human Kinetics 9, no. 1 (February 23, 2017): 82-93. Full Text
  - Mazzoleni, MJ, Battaglini, CL, Martin, KJ, Coffman, EM, and Mann, BP. "Modeling and predicting heart rate dynamics across a broad range of transient exercise intensities during cycling." Sports Engineering 19, no. 2 (June 2016): 117-127. Full Text
  - Land, S, McGuire, P, Bumb, N, Mann, BP, and Yellen, BB. "Electromagnetic braking revisited with a magnetic point dipole model." American Journal of Physics 84, no. 4 (April 2016): 257-262. Full Text
  - Gourc, E, Seguy, S, Michon, G, Berlioz, A, and Mann, BP. "Quenching chatter instability in turning process with a vibro-impact nonlinear energy sink." Journal of Sound and Vibration 355 (October 2015): 392-406. Full Text
  - Mazzoleni, MJ, Krone, MB, and Mann, BP. "Dynamics of Rocking Semicircular, Parabolic, and Semi-Elliptical Disks: Equilibria, Stability, and Natural Frequencies." Journal of Vibration and Acoustics 137, no. 4 (August 1, 2015): 041017-041017. Full Text
  - Lipp, GM, and Mann, BP. "Analysis of stability differences in road and time trial bicycles with instantaneous and delayed control." Sports Engineering 18, no. 2 (June 2015): 67-78. Full Text
  - "Quenching chatter instability in turning process with a vibro-impact nonlinear energy sink." Journal of Sound and Vibration 355 (January 1, 2015): 392-406. Full Text
  - Bernard, BP, Mazzoleni, MJ, Garraud, N, Arnold, DP, and Mann, BP. "Experimental investigation of bifurcation induced bandgap reconfiguration." Journal of Applied Physics 116, no. 8 (August 28, 2014): 084904-084904. Full Text
  - Tweten, DJ, Ballard, Z, and Mann, BP. "Minimizing error in the logarithmic decrement method through uncertainty propagation." Journal of Sound and Vibration 333, no. 13 (June 2014): 2804-2811. Full Text
  - Tweten, DJ, and Mann, BP. "Experimental investigation of colored noise in stochastic resonance of a bistable beam." Physica D: Nonlinear Phenomena 268 (February 2014): 25-33. Full Text
  - Lipp, GM, and Mann, BP. "Dynamics of an eccentric disk on a curved surface." Physica D: Nonlinear Phenomena 266 (January 2014): 34-41. Full Text
  - Tweten, DJ, and Mann, BP. "Delayed feedback control of chaos for arbitrary delays analyzed with the spectral element method." International Journal of Dynamics and Control 1, no. 4 (December 2013): 283-289. Full Text
  - Bernard, BP, Greenstein, JE, and Mann, BP. "Energy Absorption in a 1D Array of Axially Aligned Pendulums With Linear Torsional Coupling." Volume 14: Vibration, Acoustics and Wave Propagation (November 15, 2013). Full Text
  - Fulton, AB, Lipp, GM, Reid, JD, and Mann, BP. "Cycling Aerodynamics: The Effect of Rider Position on Aerodynamic Drag." Volume 4a: Dynamics, Vibration and Control (November 15, 2013). Full Text
  - Mohamed Sah, S, McGehee, CC, and Mann, BP. "Dynamics of a horizontal pendulum driven by high-frequency rocking." Journal of Sound and Vibration 332, no. 24 (November 2013): 6505-6518. Full Text
  - Khasawneh, FA, and Mann, BP. "A spectral element approach for the stability analysis of time-periodic delay equations with multiple delays." Communications in Nonlinear Science and Numerical Simulation 18, no. 8 (August 2013): 2129-2141. Full Text
  - Tweten, DJ, and Mann, BP. "On the use of weighting matrices to improve harmonic balance parameter identification results." Journal of Sound and Vibration 332, no. 12 (June 2013): 2941-2953. Full Text
  - Bobrenkov, OA, Butcher, EA, and Mann, BP. "Application of the Liapunov–Floquet transformation to differential equations with time delay and periodic coefficients." Journal of Vibration and Control 19, no. 4 (March 2013): 521-537. Full Text
  - Sah, SM, McGehee, CC, and Mann, BP. "Dynamics of a horizontal pendulum driven by high-frequency rocking." Journal of Sound and Vibration 332, no. 24 (2013): 6505-6518. Full Text
  - Sah, SM, and Mann, B. "Transition curves in a parametrically excited pendulum with a force of elliptic type." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 468, no. 2148 (December 8, 2012): 3995-4007. Full Text
  - Ballard, Z, and Mann, BP. "Experimental Study of Human Walking to Running Dynamics With Applications to Energy Harvesting." Volume 4: Dynamics, Control and Uncertainty, Parts a and B (November 9, 2012). Full Text
  - Lipp, GM, and Mann, BP. "Potential Well Escape of an Eccentric Disk." Volume 4: Dynamics, Control and Uncertainty, Parts a and B (November 9, 2012). Full Text
  - Owens, BAM, Stanton, SC, and Mann, BP. "Analysis of the Bistable Piezoelectric Inertial Generator by the Harmonic Balance Method." Volume 4: Dynamics, Control and Uncertainty, Parts a and B (November 9, 2012). Full Text
  - Sah, SM, and Mann, BP. "Potential well metamorphosis of a pivoting fluid-filled container." Physica D: Nonlinear Phenomena 241, no. 19 (October 2012): 1660-1669. Full Text
  - Mann, BP, Barton, DAW, and Owens, BAM. "Uncertainty in performance for linear and nonlinear energy harvesting strategies." Journal of Intelligent Material Systems and Structures 23, no. 13 (September 2012): 1451-1460. Full Text
  - Bernard, BP, Peyser, JW, Mann, BP, and Arnold, DP. "Using the Mass Ratio to Induce Band Gaps in a 1D Array of Nonlinearly Coupled Oscillators." Volume 1: 24th Conference on Mechanical Vibration and Noise, Parts a and B (August 12, 2012). Full Text
  - McGehee, CC, Sah, SM, and Mann, BP. "Refining the Method of Averaging for a More Accurate Analytical Approximation to the Behaviors of a Damped Pendulum." Volume 1: 24th Conference on Mechanical Vibration and Noise, Parts a and B (August 12, 2012). Full Text
  - Owens, BAM, and Mann, BP. "Fractal Boundary Explorations for a Nonlinear Two Degree-of-Freedom System." Volume 1: 24th Conference on Mechanical Vibration and Noise, Parts a and B (August 12, 2012). Full Text
  - Sah, SM, McGehee, C, and Mann, BP. "Dynamics of a Rocking Horizontal Pendulum Under High Frequency Excitation." Volume 1: 24th Conference on Mechanical Vibration and Noise, Parts a and B (August 12, 2012). Full Text
  - Tweten, DJ, and Mann, BP. "Parameter Identification of a Nonlinear Beam Energy Harvester." Volume 1: 24th Conference on Mechanical Vibration and Noise, Parts a and B (August 12, 2012). Full Text
  - Tweten, DJ, Lipp, GM, Khasawneh, FA, and Mann, BP. "On the comparison of semi-analytical methods for the stability analysis of delay differential equations." Journal of Sound and Vibration 331, no. 17 (August 2012): 4057-4071. Full Text
  - Stanton, SC, Owens, BAM, and Mann, BP. "Harmonic balance analysis of the bistable piezoelectric inertial generator." Journal of Sound and Vibration 331, no. 15 (July 2012): 3617-3627. Full Text
  - Barton, DAW, Mann, BP, and Burrow, SG. "Control-based continuation for investigating nonlinear experiments." Journal of Vibration and Control 18, no. 4 (April 2012): 509-520. Full Text
  - Stanton, SC, Mann, BP, and Owens, BAM. "Melnikov theoretic methods for characterizing the dynamics of the bistable piezoelectric inertial generator in complex spectral environments." Physica D: Nonlinear Phenomena 241, no. 6 (March 2012): 711-720. Full Text
  - Owens, BAM, and Mann, BP. "Linear and nonlinear electromagnetic coupling models in vibration-based energy harvesting." Journal of Sound and Vibration 331, no. 4 (February 2012): 922-937. Full Text
  - Butcher, EA, and Mann, BP. "Analytic Bounds for Instability Regions in Periodic Systems With Delay via Meissner’s Equation." Journal of Computational and Nonlinear Dynamics 7, no. 1 (2012): 011004-011004. Full Text
  - Khasawneh, FA, Barton, DAW, and Mann, BP. "Periodic solutions of nonlinear delay differential equations using spectral element method." Nonlinear Dynamics 67, no. 1 (January 2012): 641-658. Full Text
  - Khasawneh, FA, Bobrenkov, OA, Mann, BP, and Butcher, EA. "Investigation of Period-Doubling Islands in Milling With Simultaneously Engaged Helical Flutes." Journal of Vibration and Acoustics 134, no. 2 (2012): 021008-021008. Full Text
  - Sah, SM, and Mann, BP. "Potential well metamorphosis of a pivoting fluid-filled container." Physica D: Nonlinear Phenomena (2012). Full Text
  - Stanton, SC, Erturk, A, Mann, BP, Dowell, EH, and Inman, DJ. "Nonlinear nonconservative behavior and modeling of piezoelectric energy harvesters including proof mass effects." Journal of Intelligent Material Systems and Structures 23, no. 2 (January 2012): 183-199. Full Text
  - "Potential well shaping through the use of impact barriers for broadband electroelastic energy harvesting." Asme 2011 Conference on Smart Materials, Adaptive Structures and Intelligent Systems, Smasis 2011 2 (December 1, 2011): 73-78.
  - Dunnmon, JA, Stanton, SC, Mann, BP, and Dowell, EH. "Power extraction from aeroelastic limit cycle oscillations." Journal of Fluids and Structures 27, no. 8 (November 2011): 1182-1198. Full Text
  - Khasawneh, FA, Mann, BP, and Butcher, EA. "A multi-interval Chebyshev collocation approach for the stability of periodic delay systems with discontinuities." Communications in Nonlinear Science and Numerical Simulation 16, no. 11 (November 2011): 4408-4421. Full Text
  - Khasawneh, FA, and Mann, BP. "Stability of delay integro-differential equations using a spectral element method." Mathematical and Computer Modelling 54, no. 9-10 (November 2011): 2493-2503. Full Text
  - "Experimental investigations of a bistable energy harvester." Conference Proceedings of the Society for Experimental Mechanics Series 1 (August 15, 2011): 211-217.
  - Khasawneh, FA, and Mann, BP. "A spectral element approach for the stability of delay systems." International Journal for Numerical Methods in Engineering 87, no. 6 (August 12, 2011): 566-592. Full Text
  - Mann, BP, Khasawneh, FA, and Fales, R. "Using information to generate derivative coordinates from noisy time series." Communications in Nonlinear Science and Numerical Simulation 16, no. 8 (August 2011): 2999-3004. Full Text
  - Sneller, AJ, Cette, P, and Mann, BP. "Experimental investigation of a post-buckled piezoelectric beam with an attached central mass used to harvest energy." Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering 225, no. 4 (June 2011): 497-509. Full Text
  - Ballard, Z, and Mann, B. "Experimental and numerical investigations of an untethered, nonlinear spherical buoy in a wave tank." Proceedings of the ASME Design Engineering Technical Conference 1, no. PARTS A AND B (2011): 429-437. Full Text
  - Dunnmon, JA, Stanton, SC, Mann, BP, and Dowell, EH. "Aeroelastic limit cycles as a small scale energy source." Proceedings of the ASME Design Engineering Technical Conference 4, no. PARTS A AND B (2011): 1181-1190. Full Text
  - McGehee, CC, Ballard, ZC, and Mann, BP. "Horizontal pendulum with sudden changes in platform tilt." Proceedings of the ASME Design Engineering Technical Conference 1, no. PARTS A AND B (2011): 439-448. Full Text
  - Owens, BAM, and Mann, BP. "Comparison of linear and nonlinear electromagnetic coupling models for a linear oscillator." Proceedings of the ASME Design Engineering Technical Conference 1, no. PARTS A AND B (2011): 229-237. Full Text
  - Sah, SM, and Mann, BP. "Stability of a pivoting fluid-filled container." Proceedings of the ASME Design Engineering Technical Conference 1, no. PARTS A AND B (2011): 747-754. Full Text
  - Tweten, DJ, Lipp, GM, Khasawneh, FA, and Mann, BP. "Comparative study of semi-analytical methods for the stability analysis of delay differential equations." Proceedings of the ASME Design Engineering Technical Conference 4, no. PARTS A AND B (2011): 447-456. Full Text
  - Stanton, SC, Erturk, A, Mann, BP, and Inman, DJ. "Resonant manifestation of intrinsic nonlinearity within electroelastic micropower generators." Applied Physics Letters 97, no. 25 (December 20, 2010): 254101-254101. Full Text Open Access Copy
  - "On the manifestation and influence of material nonlinearity in electroelastic power generators." Asme 2010 Conference on Smart Materials, Adaptive Structures and Intelligent Systems, Smasis 2010 1 (December 1, 2010): 261-266.
  - Stanton, SC, Erturk, A, Mann, BP, and Inman, DJ. "Nonlinear piezoelectricity in electroelastic energy harvesters: Modeling and experimental identification." Journal of Applied Physics 108, no. 7 (October 2010): 074903-074903. Full Text Open Access Copy
  - Sneller, AJ, and Mann, BP. "On the nonlinear electromagnetic coupling between a coil and an oscillating magnet." Journal of Physics D: Applied Physics 43, no. 29 (July 28, 2010): 295005-295005. Full Text Open Access Copy
  - Stanton, SC, and Mann, BP. "On the dynamic response of beams with multiple geometric or material discontinuities." Mechanical Systems and Signal Processing 24, no. 5 (July 2010): 1409-1419. Full Text
  - Bhattacharyya, A, Schueller, JK, Mann, BP, Ziegert, JC, Schmitz, TL, Taylor, FJ, and Fitz-Coy, NG. "A closed form mechanistic cutting force model for helical peripheral milling of ductile metallic alloys." International Journal of Machine Tools and Manufacture 50, no. 6 (June 2010): 538-551. Full Text
  - Mann, BP, and Patel, BR. "Stability of Delay Equations Written as State Space Models." Journal of Vibration and Control 16, no. 7-8 (June 2010): 1067-1085. Full Text
  - Stanton, SC, McGehee, CC, and Mann, BP. "Nonlinear dynamics for broadband energy harvesting: Investigation of a bistable piezoelectric inertial generator." Physica D: Nonlinear Phenomena 239, no. 10 (May 2010): 640-653. Full Text
  - Mann, BP, and Owens, BA. "Investigations of a nonlinear energy harvester with a bistable potential well." Journal of Sound and Vibration 329, no. 9 (April 2010): 1215-1226. Full Text
  - Mann, BP, and Sims, ND. "On the performance and resonant frequency of electromagnetic induction energy harvesters." Journal of Sound and Vibration 329, no. 9 (April 2010): 1348-1361. Full Text
  - Sims, ND, Manson, G, and Mann, B. "Fuzzy stability analysis of regenerative chatter in milling." Journal of Sound and Vibration 329, no. 8 (April 2010): 1025-1041. Full Text
  - Bobrenkov, OA, Khasawneh, FA, Butcher, EA, and Mann, BP. "Analysis of milling dynamics for simultaneously engaged cutting teeth." Journal of Sound and Vibration 329, no. 5 (March 2010): 585-606. Full Text
  - Cette, P, Sneller, AJ, and Mann, BP. "Investigations of natural frequencies and vibration mode shapes for a post-buckled beam with different attached masses." ASME 2010 Dynamic Systems and Control Conference, DSCC2010 2 (2010): 569-576. Full Text
  - Khasawneh, FA, Mann, BP, and Butcher, EA. "Comparison Between Collocation Methods and Spectral Element Approach for the Stability of Periodic Delay Systems." Ifac Proceedings Volumes 43, no. 2 (2010): 69-74. Full Text
  - Stanton, SC, and Mann, BP. "Engaging nonlinearity for enhanced vibratory energy harvesting." Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference (2010).
  - "Milling bifurcations: A numerical study." Proceedings of the Asme Design Engineering Technical Conference 4, no. PARTS A, B AND C (December 1, 2009): 645-652. Full Text
  - "Harvesting energy from the nonlinear oscillations of a bistable piezoelectric inertial energy generator." Proceedings of the Asme Design Engineering Technical Conference 1, no. PARTS A AND B (December 1, 2009): 447-456. Full Text
  - "Self-excited vibrations in a delay oscillator: Application to milling with simultaneously engaged helical flutes." Proceedings of the Asme Design Engineering Technical Conference 1, no. PARTS A AND B (December 1, 2009): 1387-1395. Full Text
  - Stanton, SC, McGehee, CC, and Mann, BP. "Reversible hysteresis for broadband magnetopiezoelastic energy harvesting." Applied Physics Letters 95, no. 17 (October 26, 2009): 174103-174103. Full Text
  - "Explanation for low-speed stability increases in machining: Application of a continuous delay model." 2008 Proceedings of the Asme Dynamic Systems and Control Conference, Dscc 2008 , no. PART A (October 19, 2009): 503-510.
  - Mann, BP. "Energy criterion for potential well escapes in a bistable magnetic pendulum." Journal of Sound and Vibration 323, no. 3-5 (June 2009): 864-876. Full Text
  - Chicone, C, Felts, K, and Mann, B. "Observation and investigation of a non-monotonic period function for an impact oscillator." Communications in Nonlinear Science and Numerical Simulation 14, no. 5 (May 2009): 2415-2425. Full Text
  - Mann, BP, and Khasawneh, FA. "An energy-balance approach for oscillator parameter identification." Journal of Sound and Vibration 321, no. 1-2 (March 2009): 65-78. Full Text
  - Butcher, E, and Mann, B. "Stability Analysis and Control of Linear Periodic Delayed Systems Using Chebyshev and Temporal Finite Element Methods." (2009): 93-129. Full Text
  - Khasawneh, FA, Mann, BP, Bobrenkov, OA, and Butcher, EA. "Self-Excited Vibrations in a Delay Oscillator: Application to Milling With Simultaneously Engaged Helical Flutes." Volume 1: 22nd Biennial Conference on Mechanical Vibration and Noise, Parts a and B (2009). Full Text
  - Khasawneh, FA, Mann, BP, Insperger, T, and Stépán, G. "Increased Stability of Low-Speed Turning Through a Distributed Force and Continuous Delay Model." Journal of Computational and Nonlinear Dynamics 4, no. 4 (2009): 041003-041003. Full Text
  - Khasawneh, FA, Mann, BP, and Patel, B. "A State-Space Temporal Finite Element Approach for Stability Investigations of Delay Equations." Volume 1: Active Materials, Mechanics and Behavior; Modeling, Simulation and Control (2009). Full Text
  - Kurdi, MH, Schmitz, TL, Haftka, RT, and Mann, BP. "Milling optimisation of removal rate and accuracy with uncertainty: Part 2: parameter variation." International Journal of Materials and Product Technology 35, no. 1/2 (2009): 26-26. Full Text
  - Kurdi, MH, Schmitz, TL, Haftka, RT, and Mann, BP. "Milling optimisation of removal rate and accuracy with uncertainty: Part 1: parameter selection." International Journal of Materials and Product Technology 35, no. 1/2 (2009): 3-3. Full Text
  - Mann, BP, and Sims, ND. "Energy harvesting from the nonlinear oscillations of magnetic levitation." Journal of Sound and Vibration 319, no. 1-2 (January 2009): 515-530. Full Text
  - Radhakrishnan, A, Fales, R, and Mann, B. "Milling Bifurcations: A Numerical Study." Volume 4: 7th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B and C (2009). Full Text
  - Stanton, SC, and Mann, BP. "Harvesting Energy From the Nonlinear Oscillations of a Bistable Piezoelectric Inertial Energy Generator." Volume 1: 22nd Biennial Conference on Mechanical Vibration and Noise, Parts a and B (2009). Full Text
  - Sims, ND, Mann, B, and Huyanan, S. "Analytical prediction of chatter stability for variable pitch and variable helix milling tools." Journal of Sound and Vibration 317, no. 3-5 (November 2008): 664-686. Full Text
  - Insperger, T, Mann, BP, Surmann, T, and Stépán, G. "On the chatter frequencies of milling processes with runout." International Journal of Machine Tools and Manufacture 48, no. 10 (August 2008): 1081-1089. Full Text
  - Liu, J, Martin, DT, Nishida, T, Cattafesta, LN, Sheplak, M, and Mann, BP. "Harmonic Balance Nonlinear Identification of a Capacitive Dual-Backplate MEMS Microphone." Journal of Microelectromechanical Systems 17, no. 3 (June 2008): 698-708. Full Text
  - Mann, BP, Liu, J, and Hazra, SS. "Measurement nonlinearity interpreted as material behavior in dynamic nanoindentation." Journal of Sound and Vibration 311, no. 3-5 (April 2008): 1358-1370. Full Text
  - Mann, BP, Edes, BT, Easley, SJ, Young, KA, and Ma, K. "Chatter vibration and surface location error prediction for helical end mills." International Journal of Machine Tools and Manufacture 48, no. 3-4 (March 2008): 350-361. Full Text
  - Kurdi, MH, Haftka, RT, Schmitz, TL, and Mann, BP. "A Robust Semi-Analytical Method for Calculating the Response Sensitivity of a Time Delay System." Journal of Vibration and Acoustics 130, no. 6 (2008): 064504-064504. Full Text
  - Liu, J, Martin, DT, Kadirvel, K, Nishida, T, Catafesta, LN, Sheplak, M, and Mann, BP. "Harmonic balance nonlinear identification from steady state response of a dual backplate MEMS microphone." Journal of Microelectromechanical Systems 117, no. 3 (2008): 1358-1370. (Academic Article)
  - Liu, J, Martin, DT, Kadirvel, K, Nishida, T, Cattafesta, L, Sheplak, M, and Mann, BP. "Nonlinear model and system identification of a capacitive dual-backplate MEMS microphone." Journal of Sound and Vibration 309, no. 1-2 (January 2008): 276-292. Full Text
  - Mann, BP, Edes, BT, Young, SJ, Easley, KA, and Ma, K. "Surface location error and chatter prediction for helical end mills." International Journal of Machine Tools and Manufacture 317, no. 3-5 (2008): 664-686. (Academic Article)
  - Patel, B, Mann, BP, and Young, KA. "Uncharted islands of chatter instability in milling." International Journal of Machine Tools and Manufacture 48, no. 1-2 (2008): 124-134. (Academic Article)
  - Patel, BR, Mann, BP, and Young, KA. "Uncharted islands of chatter instability in milling." International Journal of Machine Tools and Manufacture 48, no. 1 (January 2008): 124-134. Full Text
  - "Identification of machine tool chatter for milling operations with runout." 14th International Congress on Sound and Vibration 2007, Icsv 2007 2 (December 1, 2007): 1426-1433.
  - Mann, BP, Carter, RE, and Hazra, SS. "Experimental study of an impact oscillator with viscoelastic and Hertzian contact." Nonlinear Dynamics 50, no. 3 (October 4, 2007): 587-596. Full Text
  - Garg, NK, Mann, BP, Kim, NH, and Kurdi, MH. "Stability of a Time-Delayed System With Parametric Excitation." Journal of Dynamic Systems, Measurement, and Control 129, no. 2 (2007): 125-125. Full Text
  - Long, XH, Balachandran, B, and Mann, BP. "Dynamics of milling processes with variable time delay." Nonlinear Dynamics 47, no. 4 (2007): 49-63. (Academic Article)
  - Radhakrishnan, A, Edes, BT, and Mann, BP. "An Experimental Study of Subcritical Bifurcations in Milling." Volume 1: 21st Biennial Conference on Mechanical Vibration and Noise, Parts A, B, and C (2007). Full Text
  - Long, X-H, Balachandran, B, and Mann, BP. "Dynamics of milling processes with variable time delays." Nonlinear Dynamics 47, no. 1-3 (December 29, 2006): 49-63. Full Text
  - Mann, BP, and Koplow, MA. "Symmetry breaking bifurcations of a parametrically excited pendulum." Nonlinear Dynamics 46, no. 4 (November 9, 2006): 427-437. Full Text
  - Schmitz, TL, and Mann, BP. "Closed-form solutions for surface location error in milling." International Journal of Machine Tools and Manufacture 46, no. 12-13 (October 2006): 1369-1377. Full Text
  - Koplow, MA, Bhattacharyya, A, and Mann, BP. "Closed form solutions for the dynamic response of Euler–Bernoulli beams with step changes in cross section." Journal of Sound and Vibration 295, no. 1-2 (August 2006): 214-225. Full Text
  - Mann, BP, and Young, KA. "An empirical approach for delayed oscillator stability and parametric identification." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 462, no. 2071 (July 8, 2006): 2145-2160. Full Text
  - Mann, BP, Liu, J, and Hazra, S. "Correcting measurement nonlinearity in dynamic nanoindentation." American Society of Mechanical Engineers, Applied Mechanics Division, AMD (2006). Full Text
  - Mann, BP, Liu, J, and Hazra, S. "Correcting measurement nonlinearity in dynamic nanoindentation." American Society of Mechanical Engineers, Applied Mechanics Division, AMD (2006). Full Text
  - Mann, BP, Liu, J, and Hazra, S. "Correcting Measurement Nonlinearity in Dynamic Nanoindentation." Applied Mechanics (2006). Full Text
  - "Experimental parameter identification of a time delayed system." Proceedings of the Asme International Design Engineering Technical Conferences and Computers and Information in Engineering Conference Detc2005 6 B (December 1, 2005): 803-810.
  - "Bifurcations of a planar pendulum driven at a tilted angle." Proceedings of the Asme International Design Engineering Technical Conferences and Computers and Information in Engineering Conference Detc2005 6 B (December 1, 2005): 1111-1121.
  - "Analytical solutions to surface location error in milling." Proceedings of the Asme International Design Engineering Technical Conferences and Computers and Information in Engineering Conference Detc2005 1 A (December 1, 2005): 315-322.
  - "Nonlinear behavior in dynamic nanoindentation." Proceedings of the 20th Annual Aspe Meeting, Aspe 2005 (December 1, 2005).
  - Mann, BP, Garg, NK, Young, KA, and Helvey, AM. "Milling Bifurcations from Structural Asymmetry and Nonlinear Regeneration." Nonlinear Dynamics 42, no. 4 (December 2005): 319-337. Full Text
  - Kurdi, MH, Schmitz, TL, Haftka, RT, and Mann, BP. "A Numerical Study of Uncertainty in Stability and Surface Location Error in High-Speed Milling." Manufacturing Engineering and Materials Handling, Parts a and B (2005). Full Text
  - Liu, J, Martin, DT, Kadirvel, K, Nishida, T, Cattafesta, LN, Sheplak, M, and Mann, BP. "Nonlinear System Identification of a MEMS Dual-Backplate Capacitance Microphone by Harmonic Balance Method." Applied Mechanics (2005). Full Text
  - Liu, J, Martin, DT, Kadirvel, K, Nishida, T, Sheplak, M, and Mann, BP. "Nonlinear identification of a capacitive dual-backplate MEMS microphone." Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - DETC2005 1 A (2005): 441-451.
  - Mann, BP, Young, KA, Schmitz, TL, and Dilley, DN. "Simultaneous Stability and Surface Location Error Predictions in Milling." Journal of Manufacturing Science and Engineering 127, no. 3 (2005): 446-446. Full Text
  - Stepan, G, Szalai, R, Mann, BP, Bayly, PV, Insperger, T, Gradisek, J, and Govekar, E. "Nonlinear Dynamics of High-Speed Milling—Analyses, Numerics, and Experiments." Journal of Vibration and Acoustics 127, no. 2 (2005): 197-197. Full Text
  - "Influence of process dynamics on traditionally machined surfaces introduction." American Society of Mechanical Engineers, Manufacturing Engineering Division, Med 15 (December 1, 2004): 931-null.
  - Mann, BP, Bayly, PV, Davies, MA, and Halley, JE. "Limit cycles, bifurcations, and accuracy of the milling process." Journal of Sound and Vibration 277, no. 1-2 (October 2004): 31-48. Full Text
  - Bartow, MJ, Bayly, PV, and Mann, BP. "Fiber Bragg grating sensors for measurement of tool displacement." American Society of Mechanical Engineers, Manufacturing Engineering Division, MED 15 (2004): 941-946. Full Text
  - Kurdi, MH, Schmitz, TL, Haftka, RT, and Mann, BP. "Simultaneous Optimization of Removal Rate and Part Accuracy in High-Speed Milling." Manufacturing Engineering and Materials Handling Engineering (2004). Full Text
  - "Global attractors of high-speed milling - Analyses, numerics and experiments." Proceedings of the Asme Design Engineering Technical Conference 5 C (December 1, 2003): 2231-2238.
  - Bayly, PV, Halley, JE, Mann, BP, and Davies, MA. "Stability of Interrupted Cutting by Temporal Finite Element Analysis." Journal of Manufacturing Science and Engineering 125, no. 2 (2003): 220-220. Full Text
  - Insperger, T, Mann, BP, Stépán, G, and Bayly, PV. "Stability of up-milling and down-milling, part 1: alternative analytical methods." International Journal of Machine Tools and Manufacture 43, no. 1 (January 2003): 25-34. Full Text
  - Insperger, T, Stépán, G, Bayly, PV, and Mann, BP. "Multiple chatter frequencies in milling processes." Journal of Sound and Vibration 262, no. 2 (2003): 333-345. Full Text
  - Mann, BP, Insperger, T, Bayly, PV, and Stépán, G. "Stability of up-milling and down-milling, part 2: experimental verification." International Journal of Machine Tools and Manufacture 43, no. 1 (January 2003): 35-40. Full Text
  - Mann, BP, Young, KA, Schmitz, TL, Bartow, MJ, and Bayly, PV. "Machining Accuracy Due to Tool or Workpiece Vibrations." Manufacturing (2003). Full Text
  - Bayly, PV, Mann, BP, Schmitz, TL, Peters, DA, Stepan, G, and Insperger, T. "Effects of Radial Immersion and Cutting Direction on Chatter Instability in End-Milling." Manufacturing (2002). Full Text
  - Bayly, PV, Schmitz, TL, Stepan, G, Mann, BP, Peters, DA, and Insperger, T. "Effects of radial immersion and cutting direction on chatter instability in end-milling." American Society of Mechanical Engineers, Manufacturing Engineering Division, MED 13 (2002): 351-363. Full Text
  - "Stability of interrupted cutting by temporal finite element analysis." Proceedings of the Asme Design Engineering Technical Conference 6 C (December 1, 2001): 2361-2370.
  - Ballard, Z, and Mann, BP. "Two-Dimensional Nonlinear Analysis of an Untethered Spherical Buoy Due to Wave Loading(Published online)." Journal of Computational and Nonlinear Dynamics 8, no. 4: 041019-041019. Full Text
  - Bernard, BP, Owens, BAM, and Mann, BP. "Uncertainty Propagation in the Band Gap Structure of a 1D Array of Magnetically Coupled Oscillators(Published online)." Journal of Vibration and Acoustics 135, no. 4: 041005-041005. Full Text
  - Bernard, BP, and Mann, BP. "Passive band-gap reconfiguration born from bifurcation asymmetry(Published online)." Physical Review E 88, no. 5. Full Text
  - Mann, BP, Gibbs, MM, and Sah, SM. "Dynamics of a gravity car race with application to the Pinewood Derby(Published online)." Mechanical Sciences 3, no. 2: 73-84. Full Text
  - Mann, BP. "Discussion of “On the Role of Nonlinearities in Vibratory Energy Harvesting: A Critical Review and Discussion” (Daqaq, M., Masana, R., Erturk, A., and Quinn, D. D., 2014, ASME Appl. Mech. Rev., 66(4), p. 040801)(Published online)." Applied Mechanics Reviews 66, no. 4: 045501-045501. Full Text
  - Sequeira, D, Wang, X-S, and Mann, B. "Analytical Method for Stroboscopically Sampling General Periodic Functions With Arbitrary Frequency Sweep Rates(Published online)." Journal of Vibration and Acoustics 140, no. 6: 064701-064701. Full Text
  - Tweten, DJ, and Mann, BP. "Spectral element method and the delayed feedback control of chaos(Published online)." Physical Review E 86, no. 4. Full Text
- Book Sections
  - Mann, BP. "Broadband Energy Harvesting from a Bistable Potential Well." In Advances in Energy Harvesting Methods, 91-115.: Springer New York, 2013. Full Text
- Conference Papers
  - Carroll, RE, Little, JA, Mann, BP, and Arnold, DP. "Demonstration of tunable energy propagation using magneto-mechanical oscillator arrays." 2017 IEEE 30th International Conference on Micro Electro Mechanical Systems (MEMS). January 22, 2017 - January 26, 2017.: IEEE, January 2017. Full Text
  - Little, JA, Mazzoleni, MJ, and Mann, BP. "Utilizing a blending function to improve nonlinear frequency response predictions for a pendulum system." January 1, 2016. Full Text
  - Mazzoleni, MJ, Bernard, BP, Garraud, N, Arnold, DP, and Mann, BP. "Theoretical and Experimental Analysis of Bifurcation Induced Passive Bandgap Reconfiguration." : Springer International Publishing, 2016. Full Text
  - Sequeira, D, and Mann, BP. "Static stability analysis of a floating rectangular prism." January 1, 2016. Full Text
  - Turner, JD, and Mann, BP. "Sensitivity of final field position to the punt initial conditions in American football." January 1, 2016. Full Text
  - Little, JA, Carroll, R, Mazzoleni, MJ, Garraud, N, Arnold, DP, and Mann, BP. "Investigation of Wave Propagation Behavior in Magnetically Coupled MEMS Oscillators." ASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference.: ASME, August 2, 2015. Full Text
  - Carroll, RE, Garraud, N, Little, JA, Mazzoleni, MJ, Mann, BP, and Arnold, DP. "Investigation of wave propagation phenomena in microfabricated arrays of nonlinearly coupled oscillators." TRANSDUCERS 2015 - 2015 18th International Solid-State Sensors, Actuators and Microsystems Conference. June 21, 2015 - June 25, 2015.: IEEE, June 2015. Full Text
  - "Modeling heart rate dynamics in response to changes in exercise intensity." January 1, 2015. Full Text
  - Lipp, GM, Hall, KC, and Mann, BP. "Effect of Rider Position on Bicycle Stability." ASME 2013 International Mechanical Engineering Congress and Exposition.: ASME, November 15, 2013. Full Text
  - Mann, BP, and Barton, DAW. "Comparison of Linear and Nonlinear Energy Harvesting Strategies with Uncertainty." 2010. Link to Item
  - "Fuzzy stability analysis of milling processes." January 1, 2008.
  - Mann, BP, and Sims, N. "Using nonlinearity to improve the performance of vibration-Based energy harvesting devices." January 1, 2008.
  - Mazzoleni, MJ, Krone, MB, and Mann, BP. "Investigation of Rocking Semicircular and Parabolic Disk Equilibria, Stability, and Natural Frequencies." ASME 2014 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference.: ASME, August 17, 2014. Full Text
Teaching & Mentoring
Recent Courses
Scholarly, Clinical, & Service Activities
Outreach & Engaged Scholarship
- Bass Connections Faculty Team Member. Ocean Energy: Products and Pollutants. August 2017 - May 2018 2017 - 2018
- Bass Connections Faculty Team Member. History and Future of Ocean Energy. August 2016 - May 2017 2016 - 2017

Some information on this profile has been compiled automatically from Duke databases and external sources. (Our About page explains how this works.) If you see a problem with the information, please write to Scholars@Duke and let us know. We will reply promptly.

Education, Training, & Certifications

Duke Appointment History

Awards & Honors

Subject Headings

Selected Grants

Selected Publications

Academic Articles

Book Sections

Conference Papers

Recent Courses

Outreach & Engaged Scholarship