Dr Brian Mann, Ph.D.

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.

Education

• B.S. University of Missouri, Columbia, 1996
• M.S. Washington University in St. Louis, 1999
• D.Sc. Washington University in St. Louis, 2003

Positions

• Professor in the Thomas Lord Department of Mechanical Engineering and Materials Science

Awards, Honors, and Distinctions

• ASME Elected Fellow. ASME. 2013
• Philip E Doak Award . Journal of Sound and Vibration. 2013
• ONR Young Investigator Program Award. Office of Naval Research. 2008
• Faculty Early Career Development (CAREER) Program. National Science Foundation. 2007
• SAE Ralph Teetor Award. Society of Automotive Engineers. 2007
• Faculty Early Career Development (CAREER) Program. National Science Foundation. 2005
• Faculty Early Career Development (CAREER) Program. National Science Foundation. 2004
• NSF CAREER Award. National Science Foundation. 2003

Courses Taught

• ME 592: Research Independent Study in Mechanical Engineering or Material Science
• ME 591: Research Independent Study in Mechanical Engineering or Material Science
• ME 555: Advanced Topics in Mechanical Engineering
• ME 541: Intermediate Dynamics: Dynamics of Very High Dimensional Systems
• ME 492: Special Projects in Mechanical Engineering
• ME 491: Special Projects in Mechanical Engineering
• ECE 899: Special Readings in Electrical Engineering
• CEE 625: Intermediate Dynamics: Dynamics of Very High Dimensional Systems
• BME 590: Special Topics in Biomedical Engineering

Publications

• Bradley PX, Kim-Wang SY, Blaisdell BS, Riofrio AD, Collins AT, Heckelman LN, et al. Tibiofemoral cartilage strain and recovery following a 3-mile run measured using deep learning segmentation of bone and cartilage. Osteoarthr Cartil Open. 2025 Mar;7(1):100556.
• Search J, Zani S, Mann BP. Improving Bioimpedance-based Tissue Identification with Frequency Response Similarity Metrics. In: Annu Int Conf IEEE Eng Med Biol Soc. 2024. p. 1u20135.
• Turner JD, Moore SA, Mann BP. Stability prediction via parameter estimation from milling time series. Journal of Sound and Vibration. 2024 Feb 17;571.
• Kramer HR, Moore SA, Mann BP. Comparison of Data-Driven Methods on Discovering the Dynamics of the Unforced Multi-axis Cart System. In: Conference Proceedings of the Society for Experimental Mechanics Series. 2024. p. 121u201332.
• Kramer HR, Schultze JF, Danforth SM, Mann BP. Quantifying Differences Between MIMO and SISO Testing on the BARC Structure. In: Conference Proceedings of the Society for Experimental Mechanics Series. 2024. p. 9u201321.
• Kramer HR, Manring LH, Schultze JF, Zimmerman SJ, Mann BP. Strategies for Improving the Comparison of Frequency Response Functions with Similarity Metrics. In: Conference Proceedings of the Society for Experimental Mechanics Series. 2024. p. 101u20139.
• Holm P, Imbaquingo C, Mann BP, Bju00f8rk R. High power electromagnetic vibration harvesting using a magnetic dumbbell structure. Journal of Sound and Vibration. 2023 Mar 3;546.
• Ma G, Prakash R, Mann B, Ross W, Codd P. 3D Laser-and-Tissue Agnostic Data-Driven Method for Robotic Laser Surgical Planning. In: IEEE International Conference on Intelligent Robots and Systems. 2023. p. 8446u201353.
• Coonley KD, Humber H, Mann BP. LINEAR ELECTROSTATIC OSCILLATOR WITH VISCOUS DAMPING. In: Proceedings of the ASME Design Engineering Technical Conference. 2023.
• Manring LH, Mann BP, Schultze JF. A Parameter Study of the Matrix Power Control Algorithm. In: Conference Proceedings of the Society for Experimental Mechanics Series. 2023. p. 53u201361.
• Moore SA, Culver D, Mann BP. Supervised Learning for Abrupt Change Detection in a Driven Eccentric Wheel. In: Conference Proceedings of the Society for Experimental Mechanics Series. 2023. p. 185u201392.
• Manring LH, Schultze JF, Zimmerman SJ, Mann BP. Improving magnitude and phase comparison metrics for frequency response functions using cross-correlation and log-frequency shifting. Journal of Sound and Vibration. 2022 Oct 24;539.
• Wang XS, Moore SA, Turner JD, Mann BP. A model-free sampling method for basins of attraction using hybrid active learning (HAL). Communications in Nonlinear Science and Numerical Simulation. 2022 Sep 1;112.
• Yesilli MC, Khasawneh FA, Mann BP. Transfer learning for autonomous chatter detection in machining. Journal of Manufacturing Processes. 2022 Aug 1;80:1u201327.
• Manring LH, Schultze JF, Zimmerman SJ, Mann BP. Improving convergence of the Matrix Power Control Algorithm for random vibration testing. Mechanical Systems and Signal Processing. 2022 Jan 1;182.
• Moore SA, Culver D, Mann BP. The eccentric disk and its eccentric behavior. European Journal of Physics. 2021 Nov 1;42(6).
• Turner JD, Mann BP. Empirical characteristic multiplier estimation: A comparison of methods and improvements. Journal of Sound and Vibration. 2021 Oct 27;511.
• Bhattacharyya A, Schueller JK, Mann BP, Schmitz TL, Gomez M. Uncertainty Propagation through An Empirical Model of Cutting Forces in End Milling. Journal of Manufacturing Science and Engineering, Transactions of the ASME. 2021 Jul 1;143(7).
• Zhou JW, Zhang W, Wang XS, Mann BP, Dowell EH. Primary resonance suppression of a base excited oscillator using a spatially constrained system: Theory and experiment. Journal of Sound and Vibration. 2021 Mar 31;496.
• Wang XS, Turner JD, Mann BP. Constrained attractor selection using deep reinforcement learning. JVC/Journal of Vibration and Control. 2021 Mar 1;27(5u20136):502u201314.
• Manring LH, Mann BP, Schultze JF. Modal analysis of the box assembly with removable component in two configurations. In: Conference Proceedings of the Society for Experimental Mechanics Series. 2021. p. 271u201381.
• Imbaquingo C, Mann B, Beleggia M, Bahl C, Bju00f8rk R. Electromagnetic vibration energy harvester with ring magnets. In: u201cAdvances in Acoustics, Noise and Vibration - 2021u201d Proceedings of the 27th International Congress on Sound and Vibration, ICSV 2021. 2021.
• Little JA, Turner JD, Mann BP. Improving empirical characteristic multiplier estimation through a change of basis. Journal of Sound and Vibration. 2020 Dec 8;488.
• Enrique Imbaquingo C, Beleggia M, Roberto Insinga A, R. H. Bahl C, Mann B, Bjork R. Analytical Force and Flux for a 1-D Electromagnetic Vibration Energy Harvester. IEEE Transactions on Magnetics. 2020 Nov 1;56(11).
• Coonley KD, Sequeira D, Mann BP. Patterned rotary parallel-plate capacitor for frequency up-conversion and RC circuit waveform conditioning. Engineering Research Express. 2020 Jun 1;2(2).
• Sequeira D, Mann BP. Potential well hopping and performance of ocean energy harvesters. Journal of Sound and Vibration. 2020 Jan 20;465.
• Little JA, Mann BP. Optimizing Logarithmic Decrement Damping Estimation via Uncertainty Analysis. In: Conference Proceedings of the Society for Experimental Mechanics Series. 2020. p. 19u201322.
• Turner JD, Manring LH, Mann BP. Reinforcement Learning for Active Damping of Harmonically Excited Pendulum with Highly Nonlinear Actuator. In: Conference Proceedings of the Society for Experimental Mechanics Series. 2020. p. 119u201323.
• Hutchins AR, Zani S, Manson RJ, Mann BP. Vibration testing of laparoscopic surgical instruments under varying grip pressures. In: Conference Proceedings of the Society for Experimental Mechanics Series. 2020. p. 9u201311.
• Manring LH, Mann BP. Vehicle Escape Dynamics on an Arbitrarily Curved Surface. In: Conference Proceedings of the Society for Experimental Mechanics Series. 2020. p. 141u20139.
• Sequeira D, Little J, Mann BP. An Analysis of the Gimballed Horizontal Pendulum System for Use as a Rotary Vibrational Energy Harvester. In: Conference Proceedings of the Society for Experimental Mechanics Series. 2020. p. 87u20139.
• Wang XS, Mann BP. Dynamics of a Magnetically Excited Rotational System. In: Conference Proceedings of the Society for Experimental Mechanics Series. 2020. p. 99u2013102.
• Stanton SC, Culver D, Mann BP. Tuning inertial nonlinearity for passive nonlinear vibration control. Nonlinear Dynamics. 2020 Jan 1;99(1):495u2013504.
• Wang XS, Mann BP. Nonlinear dynamics of a non-contact translational-to-rotational magnetic transmission. Journal of Sound and Vibration. 2019 Oct 27;459.
• Little JA, Mann BP. Optimizing logarithmic decrement damping estimation through uncertainty propagation. Journal of Sound and Vibration. 2019 Sep 29;457:368u201376.
• Sequeira D, Coonley K, Mann B. Topological optimization of variable area plate capacitors for coupled electromechanical energy harvesters. Journal of Intelligent Material Systems and Structures. 2019 Sep 1;30(15):2198u2013211.
• Sequeira D, Little J, Mann BP. Investigating threshold escape behavior for the gimballed horizontal pendulum system. Journal of Sound and Vibration. 2019 Jun 23;450:47u201360.
• Mann BP, Stanton SC, Bernard BP. Intentional nonlinearity in energy harvesting systems. In: Understanding Complex Systems. 2019. p. 84u201395.
• Hutchins AR, Manson RJ, Lerebours R, Farjat AE, Cox ML, Mann BP, et al. Objective Assessment of the Early Stages of the Learning Curve for the Senhance Surgical Robotic System. J Surg Educ. 2019;76(1):201u201314.
• Borror A, Mazzoleni M, Coppock J, Jensen BC, Wood WA, Mann B, et al. Predicting oxygen uptake responses during cycling at varied intensities using an artificial neural network. Biomedical Human Kinetics. 2019 Jan 1;11(1):60u20138.
• Pennisi G, Mann BP, Naclerio N, Stephan C, Michon G. Design and experimental study of a Nonlinear Energy Sink coupled to an electromagnetic energy harvester. Journal of Sound and Vibration. 2018 Dec 22;437:340u201357.
• Sequeira D, Wang XS, Mann B. Analytical Method for Stroboscopically Sampling General Periodic Functions with Arbitrary Frequency Sweep Rates. Journal of Vibration and Acoustics. 2018 Dec 1;140(6).
• Chen HJ, Sequeira D, Mann BP. Stability of coupled human and stand-up paddle board. Sports Engineering. 2018 Dec 1;21(4):429u201340.
• Ross WA, Hill WM, Hoang KB, Laarakker AS, Mann BP, Codd PJ. Automating neurosurgical tumor resection surgery: Volumetric laser ablation of cadaveric porcine brain with integrated surface mapping. Lasers Surg Med. 2018 Dec;50(10):1017u201324.
• Culver D, Mann BP, Stanton SC. Passive subharmonic elimination. Applied Physics Letters. 2018 Oct 1;113(14).
• Hutchins AR, Manson RJ, Zani S, Mann BP. Sample Entropy of Speed Power Spectrum as a Measure of Laparoscopic Surgical Instrument Trajectory Smoothness. Annu Int Conf IEEE Eng Med Biol Soc. 2018 Jul;2018:5410u20133.
• Bernard BP, Mann BP. Increasing viability of nonlinear energy harvesters by adding an excited dynamic magnifier. Journal of Intelligent Material Systems and Structures. 2018 Apr 1;29(6):1196u2013205.
• Wang XS, Mazzoleni MJ, Mann BP. Dynamics of unforced and vertically forced rocking elliptical and semi-elliptical disks. Journal of Sound and Vibration. 2018 Mar 17;417:341u201358.
• Mazzoleni MJ, Battaglini CL, Martin KJ, Coffman EM, Ekaidat JA, Wood WA, et al. A dynamical systems approach for the submaximal prediction of maximum heart rate and maximal oxygen uptake. Sports Engineering. 2018 Mar 1;21(1):31u201341.
• Sequeira D, Wang XS, Mann BP. On the manifestation of coexisting nontrivial equilibria leading to potential well escapes in an inhomogeneous floating body. Physica D: Nonlinear Phenomena. 2018 Feb 15;365:80u201390.
• Ross W, Cornwell N, Tucker M, Mann B, Codd P. Optimized path planning for soft tissue resection via laser vaporization. In: Progress in Biomedical Optics and Imaging - Proceedings of SPIE. 2018.
• Panigrahi SR, Bernard BP, Feeny BF, Mann BP, Diaz AR. Snap-through twinkling energy generation through frequency up-conversion. Journal of Sound and Vibration. 2017 Jul 7;399:216u201327.
• Carroll RE, Little JA, Mann BP, Arnold DP. Demonstration of tunable energy propagation using magneto-mechanical oscillator arrays. In: Proceedings of the IEEE International Conference on Micro Electro Mechanical Systems (MEMS). 2017. p. 873u20136.
• Turner JD, Mazzoleni MJ, Little JA, Sequeira D, Mann BP. A nonlinear model for the characterization and optimization of athletic training and performance. Biomedical Human Kinetics. 2017 Feb 1;9(1):82u201393.
• Mazzoleni MJ, Battaglini CL, Martin KJ, Coffman EM, Mann BP. Modeling and predicting heart rate dynamics across a broad range of transient exercise intensities during cycling. Sports Engineering. 2016 Jun 1;19(2):117u201327.
• Sequeira D, Mann BP. Static stability analysis of a floating rectangular prism. In: Proceedings of the ASME Design Engineering Technical Conference. 2016.
• Turner JD, Mann BP. Sensitivity of final field position to the punt initial conditions in American football. In: Proceedings of the ASME Design Engineering Technical Conference. 2016.
• Little JA, Mazzoleni MJ, Mann BP. Utilizing a blending function to improve nonlinear frequency response predictions for a pendulum system. In: Proceedings of the ASME Design Engineering Technical Conference. 2016.
• Mazzoleni MJ, Bernard BP, Garraud N, Arnold DP, Mann BP. Theoretical and experimental analysis of bifurcation induced passive bandgap reconfiguration. In: Conference Proceedings of the Society for Experimental Mechanics Series. 2016. p. 155u201362.
• Gourc E, Seguy S, Michon G, Berlioz A, Mann BP. Quenching chatter instability in turning process with a vibro-impact nonlinear energy sink. Journal of Sound and Vibration. 2015 Oct 27;355:392u2013406.
• Carroll RE, Garraud N, Little JA, Mazzoleni MJ, Mann BP, Arnold DP. Investigation of wave propagation phenomena in microfabricated arrays of nonlinearly coupled oscillators. In: 2015 Transducers - 2015 18th International Conference on Solid-State Sensors, Actuators and Microsystems, TRANSDUCERS 2015. 2015. p. 1227u201330.
• Mazzoleni MJ, Krone MB, Mann BP. Dynamics of rocking semicircular, parabolic, and semi-elliptical disks: Equilibria, stability, and natural frequencies. Journal of Vibration and Acoustics. 2015 Aug 1;137(4).
• Lipp GM, Mann BP. Analysis of stability differences in road and time trial bicycles with instantaneous and delayed control. Sports Engineering. 2015 Jun 1;18(2):67u201378.
• Mazzoleni MJ, Battaglini CL, Mann BP. Modeling heart rate dynamics in response to changes in exercise intensity. In: Proceedings of the ASME Design Engineering Technical Conference. 2015.
• Little JA, Mazzoleni MJ, Mann BP, Carroll R, Garraud N, Arnold DP. Investigation of wave propagation behavior in magnetically coupled mems oscillators. In: Proceedings of the ASME Design Engineering Technical Conference. 2015.
• Mazzoleni MJ, Krone MB, Mann BP. Investigation of rocking semicircular and parabolic disk equilibria, stability, and natural frequencies. In: Proceedings of the ASME Design Engineering Technical Conference. 2014.
• Lipp GM, Mann BP. Dynamics of an eccentric disk on a curved surface. Physica D: Nonlinear Phenomena. 2014 Jan 1;266:34u201341.
• Bernard BP, Mazzoleni MJ, Garraud N, Arnold DP, Mann BP. Experimental investigation of bifurcation induced bandgap reconfiguration. Journal of Applied Physics. 2014 Jan 1;116(8).
• Tweten DJ, Mann BP. Experimental investigation of colored noise in stochastic resonance of a bistable beam. Physica D: Nonlinear Phenomena. 2014 Jan 1;268:25u201333.
• 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. 2014 Jan 1;66(4).
• Tweten DJ, Ballard Z, Mann BP. Minimizing error in the logarithmic decrement method through uncertainty propagation. Journal of Sound and Vibration. 2014 Jan 1;333:2804u201311.
• Ballard Z, Mann BP. Two-dimensional nonlinear analysis of an untethered spherical buoy due to wave loading. Journal of Computational and Nonlinear Dynamics. 2013 Dec 2;8(4).
• Tweten DJ, Mann BP. Delayed feedback control of chaos for arbitrary delays analyzed with the spectral element method. International Journal of Dynamics and Control. 2013 Dec 1;1(4):283u20139.
• Bernard BP, Mann BP. Passive band-gap reconfiguration born from bifurcation asymmetry. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 2013 Nov 7;88(5).
• Mann BP. Broadband energy harvesting from a bistable potential well. In: Advances in Energy Harvesting Methods. 2013. p. 91u2013115.
• Mohamed Sah S, McGehee CC, Mann BP. Dynamics of a horizontal pendulum driven by high-frequency rocking. Journal of Sound and Vibration. 2013 Aug 9;332(24):6505u201318.
• Tweten DJ, Mann BP. On the use of weighting matrices to improve harmonic balance parameter identification results. Journal of Sound and Vibration. 2013 Jun 10;332(12):2941u201353.
• Bobrenkov OA, Butcher EA, Mann BP. Application of the Liapunov-Floquet transformation to differential equations with time delay and periodic coefficients. JVC/Journal of Vibration and Control. 2013 Mar 1;19(4):521u201337.
• Khasawneh FA, 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. 2013 Jan 1;18(8):2129u201341.
• Fulton AB, Lipp GM, Reid JD, Mann BP. Cycling aerodynamics: The effect of rider position on aerodynamic drag. ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE). 2013 Jan 1;4 A.
• Bernard BP, Greenstein JE, 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). 2013 Jan 1;14.
• Bernard BP, Owens BAM, Mann BP. Uncertainty propagation in the band gap structure of a 1D array of magnetically coupled oscillators. Journal of Vibration and Acoustics. 2013 Jan 1;135(4).
• Lipp GM, Hall KC, Mann BP. Effect of rider position on bicycle stability. In: ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE). 2013.
• Sah SM, 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. 2012 Dec 8;468(2148):3995u20134007.
• Tweten DJ, Mann BP. Spectral element method and the delayed feedback control of chaos. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 2012 Oct 31;86(4).
• Sah SM, Mann BP. Potential well metamorphosis of a pivoting fluid-filled container. Physica D: Nonlinear Phenomena. 2012 Oct 1;241(19):1660u20139.
• Mann BP, Barton DAW, Owens BAM. Uncertainty in performance for linear and nonlinear energy harvesting strategies. Journal of Intelligent Material Systems and Structures. 2012 Sep 1;23(13):1451u201360.
• Tweten DJ, Lipp GM, Khasawneh FA, Mann BP. On the comparison of semi-analytical methods for the stability analysis of delay differential equations. Journal of Sound and Vibration. 2012 Aug 13;331(17):4057u201371.
• Stanton SC, Owens BAM, Mann BP. Harmonic balance analysis of the bistable piezoelectric inertial generator. Journal of Sound and Vibration. 2012 Jul 16;331(15):3617u201327.
• Barton DAW, Mann BP, Burrow SG. Control-based continuation for investigating nonlinear experiments. JVC/Journal of Vibration and Control. 2012 Apr 1;18(4):509u201320.
• Stanton SC, Mann BP, Owens BAM. Melnikov theoretic methods for characterizing the dynamics of the bistable piezoelectric inertial generator in complex spectral environments. Physica D: Nonlinear Phenomena. 2012 Mar 15;241(6):711u201320.
• Owens BAM, Mann BP. Linear and nonlinear electromagnetic coupling models in vibration-based energy harvesting. Journal of Sound and Vibration. 2012 Feb 13;331(4):922u201337.
• Butcher Eric A, Mann Brian P. Analytic Bounds for Instability Regions in Periodic Systems With Delay via Meissner's Equation. JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. 2012 Jan;7(1).
• Mann BP, Gibbs MM, Sah SM. Dynamics of a gravity car race with application to the Pinewood Derby. Mechanical Sciences. 2012 Jan 1;3(2):73u201384.
• Stanton SC, Erturk A, Mann BP, Dowell EH, Inman DJ. Nonlinear nonconservative behavior and modeling of piezoelectric energy harvesters including proof mass effects. Journal of Intelligent Material Systems and Structures. 2012 Jan 1;23(2):183u201399.
• Khasawneh FA, Bobrenkov OA, Mann BP, Butcher EA. Investigation of period-doubling islands in milling with simultaneously engaged helical flutes. Journal of Vibration and Acoustics. 2012 Jan 1;134(2).
• Tweten DJ, Mann BP. Parameter identification of a nonlinear beam energy harvester. Proceedings of the ASME Design Engineering Technical Conference. 2012 Jan 1;1(PARTS A AND B):1105u201314.
• Bernard BP, Peyser JW, Mann BP, Arnold DP. Using the mass ratio to induce band gaps in a 1d array of nonlinearly coupled oscillators. Proceedings of the ASME Design Engineering Technical Conference. 2012 Jan 1;1(PARTS A AND B):1155u20139.
• Ballard Z, Mann BP. Experimental study of human walking to running dynamics with applications to energy harvesting. ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE). 2012 Jan 1;4(PARTS A AND B):557u201363.
• Khasawneh FA, Barton DAW, Mann BP. Periodic solutions of nonlinear delay differential equations using spectral element method. Nonlinear Dynamics. 2012 Jan 1;67(1):641u201358.
• Lipp GM, Mann BP. Potential well escape of an eccentric disk. ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE). 2012 Jan 1;4(PARTS A AND B):871u20138.
• McGehee CC, Sah SM, Mann BP. Refining the method of averaging for a more accurate analytical approximation to the behaviors of a damped pendulum. Proceedings of the ASME Design Engineering Technical Conference. 2012 Jan 1;1(PARTS A AND B):465u20139.
• Sah SM, McGehee C, Mann BP. Dynamics of a rocking horizontal pendulum under high frequency excitation. Proceedings of the ASME Design Engineering Technical Conference. 2012 Jan 1;1(PARTS A AND B):1045u201352.
• Owens BAM, Stanton SC, Mann BP. Analysis of the bistable piezoelectric inertial generator by the harmonic balance method. ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE). 2012 Jan 1;4(PARTS A AND B):1159u201366.
• Owens BAM, Mann BP. Fractal boundary explorations for a nonlinear two degree-of-freedom system. Proceedings of the ASME Design Engineering Technical Conference. 2012 Jan 1;1(PARTS A AND B):507u201311.
• Tweten DJ, Lipp GM, Khasawneh FA, Mann BP. Comparative study of semi-analytical methods for the stability analysis of delay differential equations. Proceedings of the ASME Design Engineering Technical Conference. 2011 Dec 1;4(PARTS A AND B):447u201356.
• McGehee CC, Ballard ZC, Mann BP. Horizontal pendulum with sudden changes in platform tilt. Proceedings of the ASME Design Engineering Technical Conference. 2011 Dec 1;1(PARTS A AND B):439u201348.
• Owens BAM, Mann BP. Comparison of linear and nonlinear electromagnetic coupling models for a linear oscillator. Proceedings of the ASME Design Engineering Technical Conference. 2011 Dec 1;1(PARTS A AND B):229u201337.
• Sah SM, Mann BP. Stability of a pivoting fluid-filled container. Proceedings of the ASME Design Engineering Technical Conference. 2011 Dec 1;1(PARTS A AND B):747u201354.
• Ballard Z, Mann B. Experimental and numerical investigations of an untethered, nonlinear spherical buoy in a wave tank. Proceedings of the ASME Design Engineering Technical Conference. 2011 Dec 1;1(PARTS A AND B):429u201337.
• Dunnmon JA, Stanton SC, Mann BP, Dowell EH. Aeroelastic limit cycles as a small scale energy source. Proceedings of the ASME Design Engineering Technical Conference. 2011 Dec 1;4(PARTS A AND B):1181u201390.
• Khasawneh FA, Mann BP. Stability of delay integro-differential equations using a spectral element method. Mathematical and Computer Modelling. 2011 Nov 1;54(9u201310):2493u2013503.
• Dunnmon JA, Stanton SC, Mann BP, Dowell EH. Power extraction from aeroelastic limit cycle oscillations. Journal of Fluids and Structures. 2011 Nov 1;27(8):1182u201398.
• Khasawneh FA, Mann BP. A spectral element approach for the stability of delay systems. International Journal for Numerical Methods in Engineering. 2011 Aug 12;87(6):566u201392.
• Sneller AJ, Cette P, 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. 2011 Jun 1;225(4):497u2013509.
• Khasawneh FA, Mann BP, Butcher EA. A multi-interval Chebyshev collocation approach for the stability of periodic delay systems with discontinuities. Communications in Nonlinear Science and Numerical Simulation. 2011 Jan 1;16(11):4408u201321.
• McGehee CC, Ballard ZC, 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. 2011 Jan 1;2:73u20138.
• Sneller AJ, Owens BA, Mann BP. Experimental investigations of a bistable energy harvester. Conference Proceedings of the Society for Experimental Mechanics Series. 2011 Jan 1;1:211u20137.
• Mann BP, Khasawneh FA, Fales R. Using information to generate derivative coordinates from noisy time series. Communications in Nonlinear Science and Numerical Simulation. 2011 Jan 1;16(8):2999u20133004.
• Stanton SC, Erturk A, Mann BP, Inman DJ. Resonant manifestation of intrinsic nonlinearity within electroelastic micropower generators. Applied Physics Letters. 2010 Dec 20;97(25).
• Cette P, Sneller AJ, 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. 2010 Dec 1;2:569u201376.
• Stanton SC, Erturk A, Mann BP, Inman DJ. Nonlinear piezoelectricity in electroelastic energy harvesters: Modeling and experimental identification. Journal of Applied Physics. 2010 Oct 1;108(7).
• Sneller AJ, Mann BP. On the nonlinear electromagnetic coupling between a coil and an oscillating magnet. Journal of Physics D: Applied Physics. 2010 Jul 16;43(29).
• Stanton SC, Mann BP. On the dynamic response of beams with multiple geometric or material discontinuities. Mechanical Systems and Signal Processing. 2010 Jul 1;24(5):1409u201319.
• Mann BP, Patel BR. Stability of Delay Equations Written as State Space Models. JOURNAL OF VIBRATION AND CONTROL. 2010 Jun;16(7u20138, SI):1067u201385.
• Bhattacharyya A, Schueller JK, Mann BP, Ziegert JC, Schmitz TL, Taylor FJ, et al. A closed form mechanistic cutting force model for helical peripheral milling of ductile metallic alloys. International Journal of Machine Tools and Manufacture. 2010 Jun 1;50(6):538u201351.
• Stanton SC, McGehee CC, Mann BP. Nonlinear dynamics for broadband energy harvesting: Investigation of a bistable piezoelectric inertial generator. Physica D: Nonlinear Phenomena. 2010 May 15;239(10):640u201353.
• Mann BP, Sims ND. On the performance and resonant frequency of electromagnetic induction energy harvesters. Journal of Sound and Vibration. 2010 Apr 26;329(9):1348u201361.
• Mann BP, Owens BA. Investigations of a nonlinear energy harvester with a bistable potential well. Journal of Sound and Vibration. 2010 Apr 26;329(9):1215u201326.
• Sims ND, Manson G, Mann B. Fuzzy stability analysis of regenerative chatter in milling. Journal of Sound and Vibration. 2010 Apr 12;329(8):1025u201341.
• Bobrenkov OA, Khasawneh FA, Butcher EA, Mann BP. Analysis of milling dynamics for simultaneously engaged cutting teeth. Journal of Sound and Vibration. 2010 Mar 1;329(5):585u2013606.
• Mann BP, Barton DAW. Comparison of linear and nonlinear energy harvesting strategies with uncertainty. In: Proceedings of ISMA 2010 - International Conference on Noise and Vibration Engineering, including USD 2010. 2010. p. 4801u201310.
• Khasawneh FA, Mann BP, Butcher EA. Comparison between collocation methods and spectral element approach for the stability of periodic delay systems ? IFAC Proceedings Volumes (IFAC-PapersOnline). 2010 Jan 1;(PART 1):69u201374.
• Stanton SC, 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 Jan 1;
• Stanton SC, Erturk A, Mann BP, 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. 2010 Jan 1;1:261u20136.
• Radhakrishnan A, Fales R, Mann B. Milling bifurcations: A numerical study. Proceedings of the ASME Design Engineering Technical Conference. 2009 Dec 1;4(PARTS A, B AND C):645u201352.
• Stanton SC, Mann BP. Harvesting energy from the nonlinear oscillations of a bistable piezoelectric inertial energy generator. Proceedings of the ASME Design Engineering Technical Conference. 2009 Dec 1;1(PARTS A AND B):447u201356.
• Khasawneh FA, Mann BP, Bobrenkov OA, 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. 2009 Dec 1;1(PARTS A AND B):1387u201395.
• Khasawneh FA, Mann BP, 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. 2009 Dec 1;1:415u201323.
• Butcher E, Mann B. Stability analysis and control of linear periodic delayed systems using Chebyshev and temporal finite element methods. 2009 Dec 1;93u2013129.
• Stanton SC, McGehee CC, Mann BP. Reversible hysteresis for broadband magnetopiezoelastic energy harvesting. Applied Physics Letters. 2009 Nov 10;95(17).
• Khasawneh FA, Mann BP, Insperger T, Stu00e9pu00e1n 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. 2009 Oct 19;(PART A):503u201310.
• Khasawneh FA, Mann BP, Insperger T, Stu00e9pu00e1n G. Increased stability of low-speed turning through a distributed force and continuous delay model. Journal of Computational and Nonlinear Dynamics. 2009 Oct 1;4(4):1u201312.
• Mann BP. Energy criterion for potential well escapes in a bistable magnetic pendulum. Journal of Sound and Vibration. 2009 Jun 19;323(3u20135):864u201376.
• Mann BP, Khasawneh FA. An energy-balance approach for oscillator parameter identification. Journal of Sound and Vibration. 2009 Mar 20;321(1u20132):65u201378.
• Mann BP, Sims ND. Energy harvesting from the nonlinear oscillations of magnetic levitation. Journal of Sound and Vibration. 2009 Jan 9;319(1u20132):515u201330.
• Kurdi MH, Schmitz TL, Haftka RT, Mann BP. Milling optimisation of removal rate and accuracy with uncertainty: Part 1: Parameter selection. International Journal of Materials and Product Technology. 2009 Jan 1;35(1u20132):3u201325.
• Chicone C, Felts K, Mann B. Observation and investigation of a non-monotonic period function for an impact oscillator. Communications in Nonlinear Science and Numerical Simulation. 2009 Jan 1;14(5):2415u201325.
• Kurdi MH, Schmitz TL, Haftka RT, Mann BP. Milling optimisation of removal rate and accuracy with uncertainty: Part 2: Parameter variation. International Journal of Materials and Product Technology. 2009 Jan 1;35(1u20132):26u201346.
• Sims ND, Mann B, Huyanan S. Analytical prediction of chatter stability for variable pitch and variable helix milling tools. Journal of Sound and Vibration. 2008 Nov 11;317(3u20135):664u201386.
• Insperger T, Mann BP, Surmann T, Stu00e9pu00e1n G. On the chatter frequencies of milling processes with runout. International Journal of Machine Tools and Manufacture. 2008 Aug 1;48(10):1081u20139.
• Radhakrishnan A, Edes BT, 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. 2008 Jun 13;1 PART A:599u2013611.
• Liu J, Martin DT, Nishida T, Cattafesta LN, Sheplak M, Mann BP. Harmonic balance nonlinear identification of a capacitive dual-backplate MEMS microphone. Journal of Microelectromechanical Systems. 2008 Jun 1;17(3):698u2013708.
• Mann BP, Liu J, Hazra SS. Measurement nonlinearity interpreted as material behavior in dynamic nanoindentation. Journal of Sound and Vibration. 2008 Apr 8;311(3u20135):1358u201370.
• Mann BP, Edes BT, Easley SJ, Young KA, Ma K. Chatter vibration and surface location error prediction for helical end mills. International Journal of Machine Tools and Manufacture. 2008 Mar 1;48(3u20134):350u201361.
• Sims ND, Manson G, Mann B. Fuzzy stability analysis of milling processes. In: 23rd International Conference on Noise and Vibration Engineering 2008, ISMA 2008. 2008. p. 2993u20133006.
• Kurdi MH, Haftka RT, Schmitz TL, Mann BP. A robust semi-analytical method for calculating the response sensitivity of a time delay system. Journal of Vibration and Acoustics. 2008 Jan 1;130(6).
• Patel B, Mann BP, Young KA. Uncharted islands of chatter instability in milling. International Journal of Machine Tools and Manufacture. 2008;48(1u20132):124u201334.
• Patel BR, Mann BP, Young KA. Uncharted islands of chatter instability in milling. International Journal Of Machine Tools \& Manufacture. 2008 Jan;48(1):124u201334.
• Mann BP, Sims N. Using nonlinearity to improve the performance of vibration-Based energy harvesting devices. In: 7th European Conference on Structural Dynamics, EURODYN 2008. 2008.
• Liu J, Martin DT, Kadirvel K, Nishida T, Catafesta LN, Sheplak M, et al. Nonlinear model and system identification of a capacitive dual-backplate MEMS microphone. Journal of Sound and Vibration. 2008;309:276u201392.
• Mann BP, Edes BT, Young SJ, Easley KA, Ma K. Surface location error and chatter prediction for helical end mills. International Journal of Machine Tools and Manufacture. 2008;317(3u20135):664u201386.
• Liu J, Martin DT, Kadirvel K, Nishida T, Catafesta LN, Sheplak M, et al. Harmonic balance nonlinear identification from steady state response of a dual backplate MEMS microphone. Journal of Microelectromechanical Systems. 2008;117(3):1358u201370.
• Insperger T, Mann BP, Surmann T, Stepan G. Identification of machine tool chatter for milling operations with runout. 14th International Congress on Sound and Vibration 2007, ICSV 2007. 2007 Dec 1;2:1426u201333.
• Mann BP, Carter RE, Hazra SS. Experimental study of an impact oscillator with viscoelastic and Hertzian contact. Nonlinear Dynamics. 2007 Nov 1;50(3):587u201396.
• Garg NK, Mann BP, Kim NH, Kurdi MH. Stability of a time-delayed system with parametric excitation. Journal of Dynamic Systems, Measurement and Control, Transactions of the ASME. 2007 Mar 1;129(2):125u201335.
• Long XH, Balachandran B, Mann BP. Dynamics of milling processes with variable time delays. Nonlinear Dynamics. 2007 Jan 1;47(1u20133):49u201363.
• Long XH, Balachandran B, Mann BP. Dynamics of milling processes with variable time delay. Nonlinear Dynamics. 2007;47(4):49u201363.
• Mann BP, Koplow MA. Symmetry breaking bifurcations of a parametrically excited pendulum. Nonlinear Dynamics. 2006 Dec 1;46(4):427u201337.
• Schmitz TL, Mann BP. Closed-form solutions for surface location error in milling. International Journal of Machine Tools and Manufacture. 2006 Oct 1;46(12u201313):1369u201377.
• Koplow MA, Bhattacharyya A, Mann BP. Closed form solutions for the dynamic response of Euler-Bernoulli beams with step changes in cross section. Journal of Sound and Vibration. 2006 Aug 8;295(1u20132):214u201325.
• Mann BP, Young KA. An empirical approach for delayed oscillator stability and parametric identification. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2006 Jan 1;462(2071):2145u201360.
• Mann BP, Liu J, Hazra S. Correcting measurement nonlinearity in dynamic nanoindentation. American Society of Mechanical Engineers, Applied Mechanics Division, AMD. 2006 Jan 1;
• Mann BP, Helvey AM, Young KA, 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. 2005 Dec 1;6 B:803u201310.
• Kurdi MH, Haftka RT, Schmitz TL, 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. 2005 Dec 1;16u20131:387u201395.
• Liu J, Martin DT, Kadirvel K, Nishida T, Cattafesta LN, Sheplak M, et al. Nonlinear system identification of a MEMS dual-backplate capacitive microphone by harmonic balance method. American Society of Mechanical Engineers, Applied Mechanics Division, AMD. 2005 Dec 1;256:269u201376.
• Mann BP, Liu J. Nonlinear behavior in dynamic nanoindentation. Proceedings of the 20th Annual ASPE Meeting, ASPE 2005. 2005 Dec 1;
• Mann BP, Garg NK, Young KA, Helvey AM. Milling bifurcations from structural asymmetry and nonlinear regeneration. Nonlinear Dynamics. 2005 Dec 1;42(4):319u201337.
• Koplow MA, 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. 2005 Jan 1;6 B:1111u201321.
• Schmitz TL, 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. 2005 Jan 1;1 A:315u201322.
• Liu J, Martin DT, Kadirvel K, Nishida T, Sheplak M, 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. 2005 Jan 1;1 A:441u201351.
• Mann BP, Young KA, Schmitz TL, Dilley DN. Simultaneous stability and surface location error predictions in milling. Journal of Manufacturing Science and Engineering. 2005 Jan 1;127(3):446u201353.
• Stepan G, Szalai R, Mann BP, Bayly PV, Insperger T, Gradisek J, et al. Nonlinear dynamics of high-speed milling - Analyses, numerics, and experiments. Journal of Vibration and Acoustics. 2005 Jan 1;127(2):197u2013203.
• Bartow MJ, Bayly PV, Mann BP. Fiber Bragg grating sensors for measurement of tool displacement. American Society of Mechanical Engineers, Manufacturing Engineering Division, MED. 2004 Dec 1;15:941u20136.
• Mann BP, Dilley DN. Influence of process dynamics on traditionally machined surfaces introduction. American Society of Mechanical Engineers, Manufacturing Engineering Division, MED. 2004 Dec 1;15:931.
• Kurdi MH, Haftka RT, Schmitz TL, Mann BP. Simultaneous optimization of removal rate and part accuracy in high-speed milling. American Society of Mechanical Engineers, Manufacturing Engineering Division, MED. 2004 Dec 1;15:1001u20139.
• Mann BP, Bayly PV, Davies MA, Halley JE. Limit cycles, bifurcations, and accuracy of the milling process. Journal of Sound and Vibration. 2004 Oct 6;277(1u20132):31u201348.
• Insperger T, Stu00e9pu00e1n G, Bayly PV, Mann BP. Multiple chatter frequencies in milling processes. Journal of Sound and Vibration. 2003 Apr 24;262(2):333u201345.
• Stepan G, Szalai R, Mann BP, Bayly PV, Insperger T, Gradisek J, et al. Global attractors of high-speed milling - Analyses, numerics and experiments. Proceedings of the ASME Design Engineering Technical Conference. 2003 Jan 1;5 C:2231u20138.
• Mann BP, Bartow MJ, Young KA, Bayly PV, Schmitz TL. Machining accuracy due to tool or workpiece vibrations. American Society of Mechanical Engineers, Manufacturing Engineering Division, MED. 2003 Jan 1;14:55u201362.
• Insperger T, Mann BP, Stu00e9pu00e1n G, Bayly PV. Stability of up-milling and down-milling, Part 1: Alternative analytical methods. International Journal of Machine Tools and Manufacture. 2003 Jan 1;43(1):25u201334.
• Mann BP, Insperger T, Bayly PV, Stu00e9pu00e1n G. Stability of up-milling and down-milling, Part 2: Experimental verification. International Journal of Machine Tools and Manufacture. 2003 Jan 1;43(1):35u201340.
• Bayly PV, Halley JE, Mann BP, Davies MA. Stability of interrupted cutting by temporal finite element analysis. Journal of Manufacturing Science and Engineering. 2003 Jan 1;125(2):220u20135.
• Bayly PV, Mann BP, Schmitz TL, Peters DA, Stepan G, Insperger T. Effects of radial immersion and cutting direction on chatter instability in end-milling. ASME International Mechanical Engineering Congress and Exposition, Proceedings. 2002 Jan 1;351u201363.
• Bayly PV, Mann BP, Halley JE, Davies MA. Stability of interrupted cutting by temporal finite element analysis. Proceedings of the ASME Design Engineering Technical Conference. 2001 Jan 1;6 C:2361u201370.
• Yellen B, Land S, Mcguire P, Bumb N, Mann B. Electromagnetic Braking Revisited with a Magnetic Point Dipole Model. American journal of physics.

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