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Balachandran, Balakumar

Department Chair
Minta Martin Professor
Faculty Member, Applied Mathematics and Scientific Computation
2181 Glenn L. Martin Hall, Building 088
University of Maryland
College Park, MD 20742

Research Interests 

  • Nonlinear phenomena, dynamics and vibrations, and control


Dr. Balachandran received his B. Tech (Naval Architecture) from the Indian Institute of Technology, Madras, India, M.S. (Aerospace Engineering) from Virginia Tech, Blacksburg, VA and Ph.D. (Engineering Mechanics) from Virginia Tech. Currently, he is a Professor of Mechanical Engineering at the University of Maryland, where has been since 1993.

His research interests include nonlinear phenomena, dynamics and vibrations, and control, and his recent efforts have focused on taking advantage of nonlinear phenomena for the benefit of a system. The publications that he has authored/co-authored include nearly eighty five journal publications, a Wiley textbook entitled "Applied Nonlinear Dynamics: Analytical, Computational, and Experimental Methods" (1995, 2006), a Thomson/Cengage textbook entitled "Vibrations" (2004, 2009), and a co-edited Springer book entitled “Delay Differential Equations: Recent Advances and New Directions” (2009).

Dr. Balachandran holds four U.S. patents and one Japan patent, three related to fiber optic sensors and two related to atomic force microscopy. He serves on the editorial boards of the International Journal of Dynamics and Control, Acta Mechanica Sinica, and Journal of Vibration and Control, is a Contributing Editor of the International Journal of Non-Linear Mechanics, and is an Associate Editor of Nonlinear Theory and its Applications.  He has been a Deputy Editor of the AIAA Journal and an Associate Editor of Meccanica.  He served as an Associate Editor of the ASME Journal of Computational and Nonlinear Dynamics from 2005 to 2011, and is currently serving as the Technical Editor of this journal since January 2016.

He is a Fellow of ASME and AIAA, a senior member of IEEE, and a member of ASA, AAM, and SPIE. He served as the Chair of the ASME Applied Mechanics Division Technical Committee on Dynamics and Control of Structures and Systems from 2005 to 2007, and the Chair of the ASME Design Engineering Division Technical Committee on Multibody Systems and Nonlinear Dynamics from 2009 to 2011. In the Department, he has served as the Leader of the Mechanics and Materials Division from 1999 to 2006, as the Director of Graduate Studies from July 2006 to July 2010, and as the Associate Chair from July 2006 to August 2010.


  • Ph.D., Virginia Polytechnic Institute, 1990

Honors and Awards 

  • ASME Melville Medal (2016) 
  • Editor, ASME Journal of Computational and Nonlinear Dynamics (2016 onwards)
  • Hind Rattan Award (2015)
  • Foreign Member, Applied Mechanics Commission, National Scientific
    Qualification Committee, ANVUR, Italy, 2013-2014
  • Japan Patent No. 2009-063574 (2012)
  • IEEE Senior Member (2011)
  • AIAA Fellow (2010)
  • US Patents: 6,901,176 (2005); 7,224,465 (2007); 7,428,064 (2009); 7,856, 866 (2010)
  • ASME Fellow (2003)
  • Purple Camshaft Teaching Award, Pi Tau Sigma Honor Society (2003)
  • Faculty member of group recognized by the American Helicopter Society's Grover E. Bell Award (2002), for work on smart structures conducted by the Alfred Gessow Rotorcraft Research Center
  • Invention of the Year Award, Physical Sciences Category, University of Maryland (2002)

Professional Memberships and Service 

  • Member of Executive Committee, Applied Mechanics Division, American Society of Mechanical Engineers (2014-Present)
  • Member, Committee of 100, College of Engineering, Virginia Tech (2015-Present)
  • Member, Scientific Advisory Board, Sheikh Zayed Institute for Pediatric Surgical Innovation (2013-2016)
  • Member, Board of Advisors, College of Engineering, Virginia Tech (2015-Present)
  • Reviewer, AIAA Journal; ASME Journal of Applied Mechanics; ASME Journal of Vibration and Acoustics; ASME Journal of Dynamic Systems, Measurement, and Control; Journal of Acoustical Society of America; Journal of Sound and Vibration; Journal of Vibration and Control; Nonlinear Dynamics; Smart Material and Structures; Shock and Vibration; International Journal of Nonlinear Mechanics; International Journal of Solids and Structures; Journal of Intelligent Material Systems and Structures; Chaos, Solitons, and Fractals; IEEE Transactions of Automatic Control, IEEE Control Systems; IEEE Journal of Oceanic Engineering; IEEE Journal of MEMS; Sensors and Actuators; Journal of Micromechanics and Microengineering; Philosophical Transaction, European Journal of Mechanics; Physics Letters.
  • Reviewed proposals for NRC (AFOSR Mechanics Program), ARO, NSF, DOD EPSCOR.

Selected Publications 

Journal Articles and Book Chapters

  • Perkins, E., Kimura, M., Hikihara, T., and Balachandran, B., "Effects of Noise on Symmetric Intrinsic Localized Modes," Nonlinear Dynamics,  March 2016, pp. 1-9.
  • Moitra, A., Chabalko, C., and Balachandran, B., "Extreme Wave solutions: Parametric Studies and Wavelet Analysis," International Journal of Non-Linear Mechanics, Vol. 83, 2016, pp. 39--47.
  • Ismail, H. and Balachandran, B., "Algorithm Fusion for Feature Extraction and Map Construction From SONAR Data," IEEE Sensors Journal, Vol. 15, 2015, pp. 6460-6471.
  • Perkins, E. and Balachandran, B., "Effects of Phase Lag on the Information Rate of a Bistable Duffing Oscillator," Physics Letters A, Vol. 379, 2015, pp. 308-313.
  • Balachandran, B., Perkins, E., and Fitzgerald, T., "Response Localization in Micro-Scale Oscillator Arrays: Influence of Cubic Coupling Nonlinearities," International Journal of Dynamics and Control, Vol. 3, 2015, pp. 183--188.
  • Chabalko, C., Moitra, A., and Balachandran, B., "Rogue Waves: New Forms Enabled by GPU Computing," Physics Letters A, Vol. 378, 2014, pp. 2377-2381.
  • Liu, X., Vlajic, N., Long, X., Meng, G., and Balachandran, B., "State-Dependent Delay Influenced Drill-String Oscillations and Stability Analysis," ASME Journal of Vibration and Acoustics, Vol. 136(5), 2014, pp. 051008-1-051008-9.
  • Liu, X., Vlajic, N., Long, X., Meng, G., and Balachandran, B., "Coupled Axial-Torsional Dynamics in Rotary Drilling with State-Dependent Delay: Stability and Control," Nonlinear Dynamics, Vol. 78, 2014, pp. 1891-1906.
  • Vlajic, N., Fitzgerald, T., Nguyen, V., and Balachandran, B., "Geometrically Exact Planar Beams with Initial Pre-Stress and Large Curvature:  Static Configurations, Natural Frequencies, and Mode Shapes," International Journal of Solids and Structures, Vol. 51, 2014, pp. 3361-3371.
  • Chabalko, C. and Balachandran, B., "Implementation and Benchmarking of Two-Dimensional Vortex Interactions on a Graphics Processing Unit," Journal of Aerospace Information Systems, Vol. 11(6), 2014, pp. 372-385.
  • Vlajic, N., Liu, X., Karki, H., and Balachandran, B., "Torsional Oscillations of a Rotor with Continuous Stator Contact," International Journal of Mechanical Sciences, Vol. 83, 2014, pp. 65-75.
  • Liu, X., Vlajic, N.,  Long, X., Meng, G., and Balachandran, B., "Multiple Regenerative Effects in Cutting Process and Nonlinear Oscillations,"  International Journal of Dynamics and Control, Vol. 2, 2014, pp. 86-101.
  • Choudhary, F. and Balachandran, B., "Hopf Instabilities in Free Piston Stirling Engines," ASME Journal of Computational and Nonlinear Dynamics, Vol. 9(2), 2014, pp. 021003-0210014.
  • Vlajic, N., Liao, C.-M., Karki, H., and Balachandran, B., "Stick-Slip Motions of a Rotor-Stator System," ASME Journal of Vibration and Acoustics, Vol. 136(2), 2013, pp. 021005-0210014.
  • Chabalko, C. and Balachandran, B., "GPU Based Simulation of Physical Systems Characterized by Mobile Discrete Interactions," in Developments in Parallel, Distributed, Grid and Cloud Computing for Engineering, B. H. V. Topping and P. Ivany (Editors), Stirlingshire, UK, Saxe-Coburg Publications, 2013, pp. 95-124.
  • Hassouneh, M., Nguyen, V., Balachandran, B., and Abed, E., "Stability Analysis and Control of Supercavitating Vehicles with Advection Delay," ASME Journal of Computational and Nonlinear Dynamics, Vol. 8(2), 2013, pp. 021003-0210013.
  • Valdez, M. and Balachandran, B., "Longitudinal Nonlinear Wave Propagation through Soft Tissue,"  Journal of the Mechanical Behavior of Biomedical Materials, Vol. 20, pp. 192-208, 2013.
  • Ji, S.-W., Bui, V. P., Balachandran, B., and Kim, Y. B., "Robust Control Allocation Design for Marine Vessel,"  Ocean Engineering, Vol. 63, pp. 105-111, 2013.
  • Liu, X., Vlajic, N.,  Long, X., Meng, G., and Balachandran, B., "Nonlinear Oscillations of a Flexible Rotor with a Drill Bit: Stick-Slip and Delay Effects,"  Nonlinear Dynamics, Vol. 72, pp. 61-77, 2013.
  • Nguyen, V. and Balachandran, B., "Supercavitating Vehicle Maneuvering with Delay and Non-steady Planing," Applied Hydromechanics (J. Prykladna Gidromehanika), Vol. 15 (No. 1), pp. 62-74, 2013.
  • Perkins, E. and Balachandran, B., "Noise-enhanced Response of Nonlinear Oscillators," in Procedia IUTAM: IUTAM Symposium on 50 Years of Chaos, Elsevier, Vol. 5, Pages 59-68, 2012.
  • Liao, C.-M., Vlajic, N., Karki, H., and Balachandran, B., "Parametric Studies on Drill-String Motions," International Journal of Mechanical Sciences, Vol. 54, 2012, pp. 260-268.
  • Chakraborty, I. and Balachandran, B., "Near-grazing Dynamics of Base Excited Cantilevers with Nonlinear Tip Interactions," Nonlinear Dynamics, Vol. 70(2), 2012, pp. 1297-1310.
  • Ramakrishnan, S. and Balachandran, B., "Influence of Noise on Discrete Breathers in Nonlinearly Coupled Micro-Oscillator Arrays," in Dynamics Modeling and Interaction Control in Real and Virtual Environments, edited by L. Kovacs and G. Stepan, IUTAM Book Series, Springer, 2011, Volume 30, Part 6, pp. 247-254.
  • Chakraborty, I. and Balachandran, B., "Effects of Noise on the Dynamics of an Impacting Elastic Structure with Nonlinear Tip Interaction Forces: Application to AFM," Nonlinear Dynamics, Vol. 66(3), 2011, pp. 427-439.
  • Kalmar-Nagy, T. and Balachandran, B., "Forced Harmonic Vibration of the Duffing Oscillator With Linear Viscous Damping," Duffing’s Equation: Non-linear Oscillators and Their Behaviour, edited by I. Kovacic and M. Brennan, Wiley, Chapter 5, 2011.
  • Chakraborty, I. and Balachandran, B., "Off-Resonance Cantilever Dynamics in the Presence of Attractive and Repulsive Tip Interaction Forces," International Journal of Structural Stability and Dynamics, Vol. 11, 2011, pp. 1-18.
  • Liao, C. -M., Balachandran, B., Karkoub, M., and Abdel-Magid, Y., "Drill-String Dynamics: Reduced-Order Models and ExperimentalStudies," ASME Journal of Vibration and Acoustics, Vol. 133, 2011, pp. 41008-1-41008-8.
  • Nguyen, V. and Balachandran, B., "Supercavitating Vehicles With Noncylindrical, Nonsymmetric Cavities: Dynamics and Instabilities,"ASME Journal of Computational and Nonlinear Dynamics, Vol. 6, 2011, pp. 41001-1-041001-11.
  • Fitzgerald, T., Valdez, M., Vanella, M., Balaras, E., and Balachandran, B.,  "Flexible Flapping Systems: Computational Investigations into Fluid-Structure Interactions," The Aeronautical Journal, Vol. 115, 2011.
  • Dick, A., Balachandran, B., and Mote, Jr., C. D., "Localization in Micro-Resonator Arrays: Influence of Natural Frequency Tuning," ASME Journal of Computational and Nonlinear Dynamics, Vol. 5, 2010, pp. 011002-1-011002-11.
  • Lin, G., Balachandran, B., and Abed, E., "Absolute Stability of Second-Order Systems with Asymmetric Sector Boundaries," IEEE Transactions on Automatic Control, Vol. 55(No. 2), 2010, pp. 458-462.
  • Vanella, M., Fitzgerald, T., Preidikman, S., Balaras, E., and Balachandran, B., "Influence of Flexibility on the Aerodynamic Performance of a Hovering Wing," Journal of Experimental Biology, Vol. 212, 2009, pp. 95–105.
  • Nguyen, V., Schultz, G., and Balachandran, B., "Lateral Load Transfer Effects on Bifurcation Behavior of Four-Wheel Vehicle System," ASME Journal of Computational and Nonlinear Dynamics, Vol. 4, 2009, pp. 041007-1-041007-12.
  • Long, X.-H., Lin, G., and Balachandran, B., "Grazing Bifurcations in Elastic Structure Excited by Harmonic Impactor Motions," Physica D, Vol. 237, 2008, pp. 1129–1138.
  • Shaw, S. W. and Balachandran, B., "A Review of Nonlinear Dynamics of Mechanical Systems in Year 2008," Japanese Society of Mechanical Engineers, Vol. 2, No. 3, 2008, pp.  611–640.
  • Long, X. -H., Balachandran, B., and Mann, B. P., "Dynamics of Milling Processes with Variable Time Delays," Nonlinear Dynamics, Vol. 47 (1-3), 2007, pp. 49–63.
  • Lin, G., Balachandran, B., and Abed, E., "Nonlinear Dynamics and Bifurcations of a Supercavitating Vehicle," IEEE Journal of Oceanic Engineering, Vol. 32(4), 2007, pp. 753–761.
  • Al-Bassyiouni, M. and Balachandran, B., "Control of Enclosed Sound Fields Using Zero Spillover Schemes," Journal of Sound and Vibration, Vol. 292, 2006, pp. 645–660.
  • Dick, A., Balachandran, B., DeVoe, D., and Mote, Jr., C. D., "Parametric Identification of Piezoelectric Micro-Scale Resonators," J. Micromechanics and Microengineering, Vol. 16, 2006.
  • Li, H. and Balachandran, B., "Buckling and Free Oscillations of Composite Microresonators," IEEE Journal of MEMS, Vol. 15 (1), 2006, pp. 42-51.
  • Balachandran, B. and Gilsinn, D., "Nonlinear Oscillations of Milling," Mathematical and Computer Modelling of Dynamical Systems, Vol. 11, 2005, pp. 273–290.1593–1601.
  • Balachandran, B., "Dynamics of Elastic Structures Excited by Harmonic and Aharmonic Impactor Motions," Journal of Vibration and Control, Vol. 9, pp. 265–279 (2003).


  • Balachandran, B., Kalmar-Nagy, T., and Gilsinn, D., "Delay Differential Equations: Recent Advances and New Directions" Springer Verlag (2009)
  • Balachandran, B. and Magrab, E. B., "Vibrations" Thomson/Cengage textbook (2004, 2009)
  • Nayfeh, A.H. and Balachandran, B., "Applied Nonlinear Dynamics: Analytical, Computational, and Experimental Methods" Wiley (1995, 2006)

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A Journey of Discovery II
Second Journey of Discovery: Annual Spring Break visit of women students from PI. April 20, 2011

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