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, 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
  - Hutchins, AR, Manson, RJ, Lerebours, R, Farjat, AE, Cox, ML, Mann, BP, and Zani, S. "Objective Assessment of the Early Stages of the Learning Curve for the Senhance Surgical Robotic System." Journal of Surgical Education 76, no. 1 (January 2019): 201-214. Full Text
  - Chen, HJ, Sequeira, D, and Mann, BP. "Stability of coupled human and stand-up paddle board." Sports Engineering 21, no. 4 (December 1, 2018): 429-440. Full Text
  - Ross, WA, Hill, WM, Hoang, KB, Laarakker, AS, Mann, BP, and Codd, PJ. "Automating neurosurgical tumor resection surgery: Volumetric laser ablation of cadaveric porcine brain with integrated surface mapping." Lasers in Surgery and Medicine 50, no. 10 (December 2018): 1017-1024. Full Text
  - Sequeira, D, Wang, XS, and Mann, B. "Analytical Method for Stroboscopically Sampling General Periodic Functions with Arbitrary Frequency Sweep Rates." Journal of Vibration and Acoustics, Transactions of the Asme 140, no. 6 (December 1, 2018). Full Text
  - Culver, D, Mann, BP, and Stanton, SC. "Passive subharmonic elimination." Applied Physics Letters 113, no. 14 (October 1, 2018). Full Text
  - Hutchins, AR, Manson, RJ, Zani, S, and Mann, BP. "Sample Entropy of Speed Power Spectrum as a Measure of Laparoscopic Surgical Instrument Trajectory Smoothness." Conference Proceedings : ... Annual International Conference of the Ieee Engineering in Medicine and Biology Society. Ieee Engineering in Medicine and Biology Society. Annual Conference 2018 (July 2018): 5410-5413. 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 1, 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 1, 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, XS, 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 15, 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 7, 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 1, 2016): 117-127. Full Text
  - Land, S, McGuire, P, Bumb, N, Mann, BP, and Yellena, BB. "Electromagnetic braking revisited with a magnetic point dipole model." American Journal of Physics 84, no. 4 (April 1, 2016): 257-262. 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, Transactions of the Asme 137, no. 4 (August 1, 2015). 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 1, 2015): 67-78. 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 (January 1, 2015): 392-406. 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(Accepted)." Journal of Sound and Vibration (October 17, 2014). 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, 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
  - Mann, BP. "Discussion: "On the role of nonlinearities in vibratory energy harvesting: A critical review and discussion" (Daqaq, M., Masana, R., Erturk, A., and Dane Quinn, D., 2014, ASME Appl. Mech. Rev., 66(4), p. 040801)." Applied Mechanics Reviews 66, no. 4 (January 1, 2014). 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 (January 1, 2014): 2804-2811. Full Text
  - "Two-dimensional nonlinear analysis of an untethered spherical buoy due to wave loading." Journal of Computational and Nonlinear Dynamics 8, no. 4 (December 2, 2013). 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 1, 2013): 283-289. Full Text
  - "Passive band-gap reconfiguration born from bifurcation asymmetry." Physical Review E Statistical, Nonlinear, and Soft Matter Physics 88, no. 5 (November 7, 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
  - Bernard, BP, Owens, BAM, and Mann, BP. "Uncertainty propagation in the band gap structure of a 1D array of magnetically coupled oscillators." Journal of Vibration and Acoustics, Transactions of the Asme 135, no. 4 (August 13, 2013). 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 1, 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 10, 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." Jvc/Journal of Vibration and Control 19, no. 4 (March 1, 2013): 521-537. Full Text
  - Bernard, BP, Greenstein, JE, and Mann, BP. "Energy absorption in a 1D array of axially aligned pendulums with linear torsional coupling." Asme International Mechanical Engineering Congress and Exposition, Proceedings (Imece) 14 (January 1, 2013). Full Text
  - Fulton, AB, Lipp, GM, Reid, JD, and Mann, BP. "Cycling aerodynamics: The effect of rider position on aerodynamic drag." Asme International Mechanical Engineering Congress and Exposition, Proceedings (Imece) 4 A (January 1, 2013). 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
  - Tweten, DJ, and Mann, BP. "Spectral element method and the delayed feedback control of chaos." Physical Review E Statistical, Nonlinear, and Soft Matter Physics 86, no. 4 (October 31, 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 1, 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 1, 2012): 1451-1460. 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 13, 2012): 4057-4071. 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
  - 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 16, 2012): 3617-3627. Full Text
  - Barton, DAW, Mann, BP, and Burrow, SG. "Control-based continuation for investigating nonlinear experiments." Jvc/Journal of Vibration and Control 18, no. 4 (April 1, 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 15, 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 13, 2012): 922-937. 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, Transactions of the Asme 134, no. 2 (January 24, 2012). 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 (January 1, 2012). 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 1, 2012): 641-658. Full Text
  - Mann, BP, Gibbs, MM, and Sah, SM. "Dynamics of a gravity car race with application to the Pinewood Derby." Mechanical Sciences 3, no. 2 (January 1, 2012): 73-84. 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
  - McGehee, CC, Ballard, ZC, and Mann, BP. "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 1, 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 1, 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 1, 2011): 2493-2503. Full Text
  - Sneller, AJ, Owens, BA, and Mann, BP. "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 1, 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 1, 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). Full Text Open Access Copy
  - Stanton, SC, Erturk, A, Mann, BP, and Inman, DJ. "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 1, 2010). 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 16, 2010). 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 1, 2010): 1409-1419. Full Text
  - Stanton, SC, and Mann, BP. "Harvesting energy from the nonlinear oscillations of a bistable piezoelectric inertial energy generator." Proceedings of the Asme International Design Engineering Technical Conferences and Computers and Information in Engineering Conference 2009, Detc2009 1, no. PART A (June 25, 2010): 447-456. Full Text
  - Radhakrishnan, A, Fales, R, and Mann, B. "Milling bifurcations: A numerical study." Proceedings of the Asme International Design Engineering Technical Conferences and Computers and Information in Engineering Conference 2009, Detc2009 4, no. PART A (June 24, 2010): 645-652. 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 1, 2010): 538-551. Full Text
  - Mann, BP, and Patel, BR. "Stability of delay equations written as state space models." Jvc/Journal of Vibration and Control 16, no. 7-8 (June 1, 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 15, 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 26, 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 26, 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 12, 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 1, 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).
  - Butcher, E, and Mann, B. "Stability analysis and control of linear periodic delayed systems using Chebyshev and temporal finite element methods." (December 1, 2009): 93-129. (Chapter) 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." Proceedings of the Asme Design Engineering Technical Conference 1, no. PARTS A AND B (December 1, 2009): 1387-1395. Full Text
  - Khasawneh, FA, Mann, BP, and Patel, B. "A state-space temporal finite element approach for stability investigations of delay equations." Proceedings of the Asme Conference on Smart Materials, Adaptive Structures and Intelligent Systems 2009, Smasis2009 1 (December 1, 2009): 415-423. Full Text
  - Radhakrishnan, A, Fales, R, and Mann, B. "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
  - Stanton, SC, and Mann, BP. "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
  - Stanton, SC, McGehee, CC, and Mann, BP. "Reversible hysteresis for broadband magnetopiezoelastic energy harvesting." Applied Physics Letters 95, no. 17 (November 10, 2009). Full Text
  - Khasawneh, FA, Mann, BP, Insperger, T, and Stépán, G. "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.
  - 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 (October 1, 2009): 1-12. Full Text
  - Mann, BP. "Energy criterion for potential well escapes in a bistable magnetic pendulum." Journal of Sound and Vibration 323, no. 3-5 (June 19, 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 1, 2009): 2415-2425. 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 (May 1, 2009): 26-46. 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 (May 1, 2009): 3-25. 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 20, 2009): 65-78. 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 9, 2009): 515-530. 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
  - 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, Transactions of the Asme 130, no. 6 (December 1, 2008). 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 11, 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 1, 2008): 1081-1089. Full Text
  - Radhakrishnan, A, Edes, BT, and Mann, BP. "An experimental study of subcritical bifurcations in milling." 2007 Proceedings of the Asme International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Detc2007 1 PART A (June 13, 2008): 599-611. 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 8, 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 1, 2008): 350-361. Full Text
  - 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 8, 2008): 276-292. 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)
  - 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 1, 2008): 124-134. Full Text
  - Insperger, T, Mann, BP, Surmann, T, and Stepan, G. "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 (November 1, 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, Transactions of the Asme 129, no. 2 (March 1, 2007): 125-135. 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)
  - Long, XH, Balachandran, B, and Mann, BP. "Dynamics of milling processes with variable time delays." Nonlinear Dynamics 47, no. 1-3 (January 1, 2007): 49-63. Full Text
  - Mann, BP, and Koplow, MA. "Symmetry breaking bifurcations of a parametrically excited pendulum." Nonlinear Dynamics 46, no. 4 (December 1, 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 1, 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 8, 2006): 214-225. 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." American Society of Mechanical Engineers, Applied Mechanics Division, Amd (January 1, 2006). 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 (January 1, 2006): 2145-2160. Full Text
  - Koplow, MA, and Mann, BP. "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.
  - Kurdi, MH, Haftka, RT, Schmitz, TL, and Mann, BP. "A numerical study of uncertainty in stability and surface location in high-speed milling." American Society of Mechanical Engineers, Manufacturing Engineering Division, Med 16-1 (December 1, 2005): 387-395. 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 capacitive microphone by harmonic balance method." American Society of Mechanical Engineers, Applied Mechanics Division, Amd 256 (December 1, 2005): 269-276. Full Text
  - Mann, BP, Garg, NK, Young, KA, and Helvey, AM. "Milling bifurcations from structural asymmetry and nonlinear regeneration." Nonlinear Dynamics 42, no. 4 (December 1, 2005): 319-337. Full Text
  - Mann, BP, Helvey, AM, Young, KA, and Zapata, RE. "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.
  - Mann, BP, and Liu, J. "Nonlinear behavior in dynamic nanoindentation." Proceedings of the 20th Annual Aspe Meeting, Aspe 2005 (December 1, 2005).
  - Schmitz, TL, and Mann, BP. "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.
  - Mann, BP, Young, KA, Schmitz, TL, and Dilley, DN. "Simultaneous stability and surface location error predictions in milling." Journal of Manufacturing Science and Engineering, Transactions of the Asme 127, no. 3 (August 1, 2005): 446-453. 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, Transactions of the Asme 127, no. 2 (April 1, 2005): 197-203. 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.
  - Kurdi, MH, Haftka, RT, Schmitz, TL, and Mann, BP. "Simultaneous optimization of removal rate and part accuracy in high-speed milling." American Society of Mechanical Engineers, Manufacturing Engineering Division, Med 15 (December 1, 2004): 1001-1009. Full Text
  - Mann, BP, and Dilley, DN. "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 6, 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
  - Stepan, G, Szalai, R, Mann, BP, Bayly, PV, Insperger, T, Gradisek, J, and Govekar, E. "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, Transactions of the Asme 125, no. 2 (May 1, 2003): 220-225. 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 1, 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, Bartow, MJ, Young, KA, Bayly, PV, and Schmitz, TL. "Machining accuracy due to tool or workpiece vibrations." American Society of Mechanical Engineers, Manufacturing Engineering Division, Med 14 (January 1, 2003): 55-62. 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 1, 2003): 35-40. 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." Asme International Mechanical Engineering Congress and Exposition, Proceedings (January 1, 2002): 351-363. 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
  - Bayly, PV, Mann, BP, Halley, JE, and Davies, MA. "Stability of interrupted cutting by temporal finite element analysis." Proceedings of the Asme Design Engineering Technical Conference 6 C (December 1, 2001): 2361-2370.
  - 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 22, 2018): 340-357. Full Text
- Book Sections
  - Mann, BP. "Broadband energy harvesting from a bistable potential well." In Advances in Energy Harvesting Methods, 91-115. September 1, 2013. Full Text
- Conference Papers
  - Ross, W, Cornwell, N, Tucker, M, Mann, B, and Codd, P. "Optimized path planning for soft tissue resection via laser vaporization." January 1, 2018. Full Text
  - Carroll, RE, Little, JA, Mann, BP, and Arnold, DP. "Demonstration of tunable energy propagation using magneto-mechanical oscillator arrays." February 23, 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." January 1, 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
  - 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." August 5, 2015. Full Text
  - Little, JA, Mazzoleni, MJ, Mann, BP, Carroll, R, Garraud, N, and Arnold, DP. "Investigation of wave propagation behavior in magnetically coupled mems oscillators." January 1, 2015. Full Text
  - Mazzoleni, MJ, Battaglini, CL, and Mann, BP. "Modeling heart rate dynamics in response to changes in exercise intensity." January 1, 2015. Full Text
  - Mazzoleni, MJ, Krone, MB, and Mann, BP. "Investigation of rocking semicircular and parabolic disk equilibria, stability, and natural frequencies." January 1, 2014. Full Text
  - Lipp, GM, Hall, KC, and Mann, BP. "Effect of rider position on bicycle stability." January 1, 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.
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- 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

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