Balachandran, Balakumar
Minta Martin Professor
Distinguished University Professor
Faculty Member, Applied Mathematics and Scientific Computation
Affiliate Professor, Aerospace Engineering
Distinguished University Professor
Faculty Member, Applied Mathematics and Scientific Computation
Affiliate Professor, Aerospace Engineering
Mechanical Engineering
Aerospace Engineering
Aerospace Engineering
2133 Glenn L. Martin Hall, Building 088
EDUCATION
- Ph.D. (Engineering Mechanics), Virginia Polytechnic Institute & State University (VPI&SU), Blacksburg, VA, December 1990
- M.S. (Aerospace Engineering), VPI&SU, Blacksburg, VA, December 1986
- B. Tech (Naval Architecture), Indian Institute of Technology, Madras, India, July 1985
BACKGROUND
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, system identification, and control. His recent efforts have focused on the following: i) taking advantage of nonlinear phenomena for the benefit of a system, ii) data-driven nonlinear dynamics, iii) interplay between noise and nonlinearity, iv) systems with delays, v) evolution of disease dynamics, and vi) space based solutions to address global warming. The publications that he has authored/co-authored include over hundred journal publications, a Wiley textbook entitled "Applied Nonlinear Dynamics: Analytical, Computational, and Experimental Methods" (1995, 2004), a Thomson/Cengage textbook entitled "Vibrations" (2004, 2009) and a third edition by Cambridge University Press (2019), 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, 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 the Technical Editor of this journal from January 2016 to December 2020. He served as the Contributing Editor of the International Journal of Non-Linear Mechanics from 2014 to 2020.
He is a Fellow of ASME and AIAA, a Honorary Fellow of the Royal Aeronautical Society, a full member of ASA, a senior member of IEEE, and a member of SPIE and the International Society of Nonlinear Dynamics. He served as the Chair of the ASME Applied Mechanics Division (AMD) 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. He was a member of the ASME AMD Executive Committee and served as the Chair of AMD from 2018 to 2019. In the Department, he has served as the Leader of the Mechanics and Materials Division from 1999 to 2006, Director of Graduate Studies from July 2006 to July 2010, Associate Chair from July 2006 to August 2010, Acting Chair from September 2010 till May 2011, and Chair from May 2011 to December 2023.
HONORS AND AWARDS
- Honorary Fellow, Royal Aeronautical Society, United Kingdom, 2024
- Keynote Lecture, ASME IDETC 2024, Washington, DC
- AIAA Pendray Aerospace Literature Award, 2023
- Distinguished University Professor, 2022-Present
- Fellow, Royal Aeronautical Society, United Kingdom, 2022
- ASCE Engineering Mechanics Institute Robert Scanlan Medal, 2022
- ASME Lyapunov Award Lecture, 2021
- Plenary Talk, ICVE'21, Shanghai, China
- Keynote Talk, 8th International Conference on Nonlinear Vibrations, Localization, and Energy Transfer, July 2021, Ascona, Switzerland
- Distinguished Seminar, Semi-sesquicentennial Celebration of Mechanical Engineering, IISc, Bangalore, India
- ASME Lyapunov Award, 2021
- Sectional Lecture, ICTAM 2020+1, Milan, Italy
- ASME J. P. Den Hartog Award, 2021
- Keynote Lecture, NODYCON2021, Rome, Italy
- Plenary Lecture, 2020 ASME IMECE
- Springer Acta Mechanica Sinica (AMS) 2019 Best Paper Award for 2017 AMS paper entitled `Motion Visualization and Estimation for Flapping Wing Systems" in the Fluid Mechanics category (2019)
- Keynote Lecture, DSTA 2019, Lodz, Poland (2019)
- Keynote Lecture, ASME IDETC 2019, Anaheim, CA (2019)
- Knowledge Leadership Forum Lecture, Sastra University, Thanjavur, India (2019)
- Keynote Lecture, International Conference on Nonlinear Solid Mechanics, Rome, Italy (2019)
- John Laufer Lecture, University of Southern California (2019)
- Keynote Lecture, DINAME 2019 - XVIII International Sympoisum on Dynamic Problems of Mechanics, Buzios, Rio de Janeiro, Brazil (2019)
- Springer Ali H. Nayfeh First Prize for Nonlinear Dynamics paper entitled ``Neural Machine-Based Forecasting of Chaotic Dynamics" (2019)
- Warren Lecture, University of Minnesota (2018)
- Keynote Lecture, IUTAM Symposium on Exploiting Nonlinear Dynamics for Engineering Systems, Novisad, Serbia (2018)
- Editorial Board, International Journal of Mechanical Sciences (2018-Present)
- Chair, ASME Applied Mechanics Division (2018-2019)
- Best Paper Award, Gold, 6th International Symposium on Multibody Systems and Mechatronics, Santa Catrina, Brazil (2017)
- Keynote Lecture, CMM 2017 - 22nd International Conference on Computer Methods in Mechanics, Lublin, Poland (2017)
- ASME Melville Medal for ASME JVA Paper entitled ``State-Dependent Delay Influenced Drill-String Oscillations and Stability Analysis" (2016)
- Keynote Lecture, ASME IDETC 2016, Charlotte, NC (2016)
- Editor, ASME Journal of Computational and Nonlinear Dynamics (2016-2020)
- Hind Rattan Award (2015), India
- Keynote Lecture, 12th International Conference on Vibration Problems, Guwahati, India (2015)
- Plenary Talk, ASME IMECE 2015, Houston, TX (2015)
- Contributing Editor, International Journal of Non-Linear Mechanics (2014-2020)
- Foreign Member, Applied Mechanics Commission, National Scientific Qualification Committee, ANVUR, Italy, 2013-2014
- Editorial Board, Acta Mechanica Sinica (2013-Present)
- Japan Patent No. 2009-063574 (2012)
- Minta Martin Professorship (2012-Present)
- Editorial Board, International Journal of Dynamics and Control (2012-2024)
- Associate Editor, Nonlinear Theory and Applications (2012-Present)
- Associate Editor, Meccanica, Solids and Structures area, (2012-2014)
- Plenary Talk, ASME IMECE 2012, Houston, TX (2012)
- IEEE Senior Member (2011)
- AIAA Fellow (2010)
- Keynote Talk, ASME IMECE 2010, Vancouver, CA (2010)
- US Patents: 6,901,176 (2005); 7,224,465 (2007); 7,428,064 (2009); 7,856, 866 (2010)
- Keynote Lecture, Mini-Symposium on Computational Methods in Nonlinear Dynamics, ECCOMAS 2008, Venice, Italy (2008)
- Associate Editor, ASME Journal of Computational and Nonlinear Dynamics (2004-2011)
- Deputy Editor, AIAA Journal (2007-2015)
- Associate Editor, AIAA Journal (2003-2007)
- ASME Fellow (2003)
- Purple Camshaft Teaching Award, Pi Tau Sigma Honor Society (2003)
- American Helicopter Society's Grover E. Bell Award (2002) - Faculty member of group recognized 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)
- Keynote Lecture, Symposium on Nonlinear and Stochastic Systems and Their Numerics, Mathematics Research Institute, Oberwolfach, Germany (2002)
- Editorial Board, Journal of Vibration and Control (2000-2014)
PROFESSIONAL MEMBERSHIPS
- Member of Executive Committee, Applied Mechanics Division, American Society of Mechanical Engineers (2014-2019)
- 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 (2015-2019)
- 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, and different foundations.
Applied mathematics, Applied mechanics, and Applied physics
Nonlinear phenomena, dynamics and vibrations, control, and system identification
Evolution of disease dynamics
Space based solutions for addressing global warming
Journal Articles and Book Chapters
- Wani, K. Z., Pandey, M., and Balachandran, B., Coupled bluff body energy harvesters: Vortex influenced dynamics. H. Yabuno et al. (Eds.): IUTAM 2023, IUTAM Bookseries 43, pp. 1–15, 2025. //doi.org/10.1007/978-3-031-72794-8_28
- Chakraborty, S., Ide, K., and Balachandran, B., Missing values imputation in ocean buoy time series data. Ocean Engineering, Vol. 318, 2025, //doi.org/10.1016/j.oceaneng.2024.120145
- Wani, K. Z., Pandey, M., and Balachandran, B., Cantilevers attached with bluff bodies: vortex-induced vibrations. Nonlinear Dynamics, 2024. //doi.org/10.1007/s11071-024-10679-8
- Breunung, T. and Balachandran, B., Frequency response based identification of nonlinear oscillators, Journal of Sound and Vibration, 2024. //doi.org/10.1016/j.jsv.2024.118651
- Breunung, T. and Balachandran, B., Prediction of freak waves from buoy measurements, Scientific Reports, Vol. 14, p. 16048, 2024. //doi.org/10.1038/s41598-024-66315-3
- Chakraborty, S., Ide, K., and Balachandran, B., Simulations of modulated plane waves using weakly compressible smoothed particle hydrodynamics, Engineering with Computers, Vol. 40, pp. 1831–1856, 2024. //doi.org/10.1007/s00366-023-01894-9
- Cilenti, L., Cameron, M., and Balachandran, B., Influence of noise on rotating, softening cantilever beam, International Journal of Non-linear Mechanics, Vol. 159, p. 104582, 2024. //doi.org/10.1016/j.ijnonlinmec.2023.104582
- Liu, X., Meng, G., and Balachandran, B., Drill-String stability and stress localization: Influence of complex delay effects and dry friction, International Journal of Non-Linear Mechanics, Vol. 157, p. 104559, 2023. //doi.org/10.1016/j.ijnonlinmec.2023.104559
- Acar, G., Cilenti, L., Yorke, J., and Balachandran, B., Expected escape times from attractor basins due to low intensity noise, Nonlinear Dynamics, 2023. //doi.org/10.1007/s11071-023-08330-z
- Zhao, X., Flocco, D., Azarm, S., and Balachandran, B., Deep reinforcement learning for the co-optimization of vehicular flow direction design and signal control policy for a road network, IEEE Access, 2023, DOI 10.1109/ACCESS.2023.3237420 .
- Breunung, T. and Balachandran, B., Data-driven, high resolution ocean wave forecasting and extreme wave predictions, Ocean Engineering, Vol. 268, p. 113271, 2023. //doi.org/10.1016/j.oceaneng.2022.113271.
- Breunung, T. and Balachandran, B., Noise color influence on escape times in nonlinear oscillators - Experimental and numerical results, Theoretical and Applied Mechanics Letters, Vol. 13 (2), 2023. //doi.org/10.1016/j.taml.2022.100.420. Corrigendu, Vol. 13(3). //doi.org/10.1016/j.taml.2023.100455.
- Cilenti, L., Cameron, M., and Balachandran, B., Most probable escape paths in periodically driven nonlinear oscillators, Chaos, Vol. 32, p. 083140, 2022. //doi.org/10.1063/5.0093074.
- Breunung, T. and Balachandran, B., Computationally efficient simulations of stochastically perturbed nonlinear dynamical systems, ASME Journal of Computational and Nonlinear Dynamics, Vol. 17(9), p. 091008, 2022.
- Alofi, A., Acar, G., and Balachandran, B., Noise influenced response movement in coupled oscillator arrays with multi-stability, Journal of Sound and Vibration, Vol. 531, p. 116591, 2022. //doi.org/10.1016/j.jsv.2022.116951
- Balachandran, B., Breunung, T., Acar, G., Alofi, A., and Yorke, J., Dynamics of circular oscillator arrays subjected to noise, Nonlinear Dynamics, Vol. 108, pp. 1-14, 2022.
- Agarwal, V. and Balachandran, B., Noise-assisted response steering for a rotor-stator system, Journal of Sound and Vibration, Vol. 523, p. 116683, 2022.
- Cilenti, L. and Balachandran, B., Transient probability in basins of noise influenced responses of mono and coupled Duffing oscillators, Chaos, Vol. 31, p. 063117, 2021. //doi.org/10.1063/5.0051103.
- Acar, G., Ravula, G., and Balachandran, B., Dynamic interactions of a driven pendulum with photoelastic granular media, Physics Letters A, Vol. 396, 2021. //doi.org/10.106/j.physleta.2021.127244.
- Agarwal, V., Wang, R., and Balachandran, B., Data-Driven forecasting of aperiodic motions of non-autonomous systems, Chaos, Vol. 31(2), 2021. //doi.org/10.1063/5.0045004.
- Chakraborty, S. and Balachandran, B., Wave propagation studies in numerical wave tanks with weakly compressible smoothed particle hydrodynamics, Journal of Marine Science and Engineering, Vol. 9. p. 233, 2021. //doi.org/10.3390/jmse9020233
- Beltramo, E., Balachandran, B., and Preidikman, S., Three-dimensional formulation of a strain-based geometrically nonlinear piezoelectric beam for energy harvesting, Journal of Intelligent Material Systems and Structures, 2021. //doi.org/10.1177/1045389x0988792.
- Ravula, P., Acar, G., and Balachandran, B., Discrete element method-based studies on dynamic interactions of a lugged wheel with granular media, Journal of Terramechanics, Vol. 94, pp. 49-62, 2021. //doi.org/j.terra.2021.01.002
- Wang, G., Riaz, A., and Balachandran, B., Continuum modeling and simulation of robotic appendage interaction with granular material, ASME Journal of Applied Mechanics, Vol. 88(2), 2021. //doi.org/10.1115/1.4049069
- Zhao, X., Azarm, S., and Balachandran, B., Online data-driven prediction of spatio-temporal system behavior using high-fidelity simulations and sparse sensor measurements, ASME Journal of Mechanical Design, Vol. 143(2), 2021. //doi.org/10.1115/1.4047690.
- Kaviya, B., Suresh, R., Chandrasekar, V., and Balachandran, B., Influence of dissipation on extreme oscillations of a forced anharmonic oscillator, International Journal of Non-Linear Mechanics, Vol. 127, 2020. //doi.org/10.1016/j.ijnonlinmec.2020.103596.
- Agarwal, V., Yorke, J., and Balachandran, B., Noise-induced chaotic-attractor escape route, Nonlinear Dynamics, 2020. //doi.org/10.1007/s11071-020-05873-3.
- Liu, X., Zheng, X., and Balachandran, B., COVID-19: Data-driven dynamics, statistical and distributed delay models, and observations, Nonlinear Dynamics, 2020. //doi.org/10.1007/s11071-020-05863-5.
- Valdez, M., Balachandran, B., and Preidikman, S., Comparative study on analytical and computational aerodynamic models for flapping wing MAVs, The Aeronautical Journal, Royal Aeronautical Society, Vol. 124, 2020, pp. 1636-1665. //doi.org/10.1017/aer.2020.45.
- Roccia, B. A., Verstraete, M. L., Ceballos, L. R., Balachandran, B., and Preidikman, S., Computational study of aerodynamically coupled piezoelectric harvesters, Journal of Intelligent Material Systems and Structures, 2020. //doi.org/10.1177/1045389X20930093.
- Zheng, X., Agarwal, V., Liu, X., and Balachandran, B., Nonlinear instabilities and control of drill-string stick-slip vibrations with consideration of state-dependent delay, Journal of Sound and Vibration, Vol. 473, 2020. //doi.org/10.1016/j.jsv.2020.115235.
- Liu, X., Long, X., Zheng, X., Meng, G., and Balachandran, B., Spatio-temporal dynamics of a drill string with complex time-delay effects: Bit bounce and stick-slip oscillations, International Journal of Mechanical Sciences, Vol. 170, 2020. //doi.org/10.1016/j.ijmecsi.2019.105338.
- Acar, G. D. and Balachandran, B., Dynamics of one-dimensional granular arrays with pre-compression, Nonlinear Dynamics, Vol. 99(1), 2020, pp. 707-720. //doi.org/10.1007/s11071-019-05407-6.
- Wang, R., Kalnay, E., and Balachandran, B., Neural Machine-Based Forecasting of Chaotic Dynamics, Nonlinear Dynamics, Vol. 98, 2019, pp. 2903-2917. //doi.org/10.1007/s11071-019-05127-x.
- Wang, G., Riaz, A., and Balachandran, B., Smooth Particle Hydrodynamics Studies of Wet Granular Column Collapses, Acta Geotechnica, Vol. 15, 2019, pp. 1205-1217. //doi.org/10.1007/s11440-019-00828-4.
- Zhao, X., Kebbie-Anthony, A., Azarm, S., and Balachandran, B., Dynamic Multi-step-ahead Prediction with Simulation Data and Sensor Measurements, AIAA Journal, Vol. 57(6), 2019, pp. 2270-2279.
- Kebbie-Anthony, A., Gumerov, N., Preidikman, S., Balachandran, B., and Azarm,S., Fast Multipole Accelerated Unsteady Vortex Lattice Method, Journal of Aerospace Information Systems, Vol. 16(6) , 2019, pp. 237-248.
- Kania, R., Kebbie-Anthony, A., Zhao, X., Azarm, S., and Balachandran, B., Dynamic Data-Driven Approach for Unmanned Aircraft Systems and Aeroelastic Response Analysis," in Handbook of Dynamic Data Driven Applications Systems, Springer, Cham., 2018, pp. 193-211.
- Agarwal, V., Zheng, X., and Balachandran, B., Influence of Noise on Frequency Responses of Softening Duffing Oscillators," Physics Letters A, Vol. 382 (46), 2018, pp. 3355-3364.
- Wang, R. and Balachandran, B., Extreme Wave Formation in Unidirectional Sea Due to StochasticWave Phase Dynamics," Physics Letters A, Vol. 382, 2018, pp. 1864-1872.
- Preidikman, S., Roccia, B. A., Verstraete, M. L., Valdez, M., Mook, D. T., and Balachandran, B., Computational Aeroelasticity of Flying Robots with Flapping Wings, in Aerial Robots - Aerodynamics, Control and Applications, InTech, 2017, http://dx.doi.org/10.5772/intechopen.69396.
- Zheng, X. and Balachandran, B., State-Dependent Delay and Drill-String Dynamics, IUTAM Symposium on Nonlinear and Delayed Dynamics of Mechatronic Systems, Procedia IUTAM, Elsevier, 2017, pp. 31-38.
- AlZibdeh, A., AlQaradawi, M., and Balachandran, B., Effects of High Frequency Drive Speed Modulation on Rotor with Continuous Stator Contact," International Journal of Mechanical Sciences, Vol. 131-132, 2017, pp. 559-571.
- Agarwal, V. , Sabuco, J., and Balachandran, B., Safe Regions with Partial Control for a Chaotic System in the Presence of White Gaussian Noise," International Journal of Non-Linear Mechanics, Vol.94, 2017, pp. 3-11.
- Vlajic, N., Champneys, A., and Balachandran, B., Nonlinear Dynamics of a Jeffcott Rotor with Torsional Deformations and Rotor-Stator Contact," International Journal of Non-Linear Mechanics, Vol. 92, 2017, pp. 102-110.
- Roccia, B., Preidikman, S., and Balachandran, B., Computational Dynamics of Flapping Wings in Hover Fight: A Co-Simulation Strategy," AIAA Journal, Vol. 55(6), 2017, pp. 1806-1822.
- Hsu, S. T.-S., Fitzgerald, T., Nguyen, V., Patel, T., and Balachandran, B., ``Motion Visualization and Estimation for Flapping Wing Systems," Acta Mechanica Sinica, Vol. 332(2), 2017, pp. 327-340.
- 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).
Books
- Lacarbonara, W., Balachandran, B., Leamy, M., Ma, J., Machado, J. A. T., and Stepan, G., ``Advances in Nonlinear Dynamics - Proceedings of the Second International Nonlinear Dynamics Conference (NODYCON 2021)," Volumes I, II, and III, Springer Nature (2022).
- Lacarbonara, W., Balachandran, B., Ma, J., Machado, J. A. T., and Stepan, G., ``New Trends in Nonlinear Dynamics - Proceedings of the First International Nonlinear Dynamics Conference (NODYCON 2019)," Volumes I, II, and III, Springer Nature (2020).
- 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); Cambridge University Press (2019)
- Nayfeh, A.H. and Balachandran, B., "Applied Nonlinear Dynamics: Analytical, Computational, and Experimental Methods" Wiley (1995, 2004)