A. Balaji1, A. Thani2, K. R. Jayaprakash5, and C. P. Vyasarayani, “Time Delayed Piecewise Linear Mathieu Equation: An Analytical and Numerical Study", Nonlinear Dynamics, 2024. (Accepted)

D. Manthena1, C.P. Vyasarayani, and A. Chatterjee,  “Open-loop centering of a point mass on a horizontally vibrating frictional table", ASME Journal of Computational and Nonlinear Dynamics, 19,  031005, 2024.  

S. Tiwari, J. Shaik1, and C.P. Vyasarayani,  “Data driven approach to determine linear stability of delay differential equations using orthonormal history functions", ASME Journal of Computational and Nonlinear Dynamics, 19(2): 021002, 2024.

J. Shaik1, T. Uchida5, and C.P. Vyasarayani, “Nonlinear dynamics near a double Hopf bifurcation for a ship model with time-delay control", Nonlinear Dynamics,  111:  21441–21460, 2023.  

J. Shaik1, S. Tiwari, and C.P. Vyasarayani, “Floquet theory for time-periodic delay differential equations using orthonormal history functions”, ASME Journal of Computational and Nonlinear Dynamics, 18(9): 091005, 2023. [highlighted by the editor] 

J. Shaik1, C.P. Vyasarayani, and A. Chatterjee5 ,“LQR for delayed systems using the Hamiltonian approach and exact closed loop poles”, ASME Journal of Dynamic Systems, Measurement and Control, 145(7): 071002, 2023. 

A. Balaji1, A. Thani2, S. Biswas5, and C. P. Vyasarayani,  “Stability of a cross-flow heat-exchanger tube with asymmetric supports”, ASME Journal of Computational and Nonlinear Dynamics, 17(11): 111009, 2022.

J. Shaik1, T. Uchida5, and C.P. Vyasarayani, “Effect of delay on control of direct resonance of ships in beam waves using a proportional–derivative controller with delay”, ASME Journal of Computational and Nonlinear Dynamics, 17(6): 061004, 2022.  [highlighted by the editor]

R. Manikantan1, T. Ghosh Mondal2, S. Prakash5, and C.P. Vyasarayani, “Parameter identification of Bouc-Wen type hysteresis models using homotopy optimization”, Mechanics Based Design of Structures and Machines, 50, 26-47, 2022. [publisher: Taylor and Francis]

S.S. Kandala1, T. Uchida5, and C.P. Vyasarayani, “Pole placement for delay differential equations with time-periodic delays using Galerkin approximations”, ASME Journal of Computational and Nonlinear Dynamics, 16(9), 091007  2021.

S. Surya1, S.N. Khaderi5, and C.P. Vyasarayani, “Galerkin-Ivanov transformation for nonsmooth modeling of vibro-impacts in continuous structures”,  Journal of Vibration and Control, 27(13-14), 1548–1560, 2021.  [publisher: SAGE]

S. Tiwari7,  C.P. Vyasarayani, and A. Chatterjee5, “Data suggest COVID-19 affected numbers greatly exceeded detected numbers, in four European countries, as per a delayed SEIQR model”, Scientific Reports, 11, 8106, 2021.  [publisher: Nature]

A. Shirude7,  C.P. Vyasarayani, and A. Chatterjee5, “Towards design of a nonlinear vibration stabilizer for suppressing single-mode instability”, Nonlinear Dynamics, 103, 1563–1583, 2021.  [publisher: Springer]

S.K. Varanasi7, P. Jampana5,  C.P. Vyasarayani, “Minimum attention stochastic control with homotopy optimization”, International Journal of Dynamics and Control, 9(1),  266 - 274, 2021.  [publisher: Springer]

S. Tiwari7,  C.P. Vyasarayani, and A. Chatterjee5, “Performance limit for base-excited energy harvesting, and comparison with experiments”, Nonlinear Dynamics, 103, 197–214, 2021.  [publisher: Springer]

C.P.  Vyasarayani and A. Chatterjee5, “Complete dimensional collapse in the continuum limit of a delayed SEIQR network model with separable distributed infectivity”, Nonlinear Dynamics, 101, 1653–1665, 2020. [publisher: Springer]

C.P. Vyasarayani and A. Chatterjee5, “New approximations, and policy implications, from a delayed dynamic model of a fast pandemic”,  Physica D: Nonlinear Phenomena, (414), 132701, 2020.  [publisher: Elsevier]

S. Surya1, T. Uchida5, and C.P. Vyasarayani, “Fast generation of stability charts for time-delay systems using continuation of characteristic roots”,  ASME Journal of Computational and Nonlinear Dynamics,  2020, 15(11): 11100, 2020. [publisher: ASME]

R. Manikantan1, S. Chakraborty2, T. Uchida5, and C. P. Vyasarayani, “Parameter Identification in Nonlinear Mechanical Systems with Noisy Partial State Measurement Using PID-Controller Penalty Functions", Mathematics, 2020, 8(7), 1084. [publisher: MDPI]

S.S. Kandala1, S. Surya1, T. Uchida5, and C.P. Vyasarayani, “Spurious roots of delay differential equations using Galerkin approximations”, Journal of Vibration and Control, 26 (15/16):1178-1184, 2020. [publisher: SAGE] 

A. Desai4, V. Voruganti1, and C.P. Vyasarayani, “A note on damping in heat-exchanger tubes subjected to cross-flow”, International Journal of Dynamics and Control, 8: 352–360, 2020. [publisher: Springer]

S.S. Kandala1, S. Chakraborty2, T. Uchida5, and C.P. Vyasarayani, “Hybrid method-of-receptances and optimization-based technique for pole placement in time-delayed systems”, International Journal of Dynamics and Control, 8: 558–569, 2020. [publisher: Springer]

V. Voruganti1, A. Desai4, S. Surya1, and C.P. Vyasarayani, “Effect of nonlinear cladding stiffness on the stability and Hopf bifurcation of a heat-exchanger tube subject to cross-flow”, Meccanica, 55: 49–68, 2020. [publisher: Springer]

V. Voruganti1, S.S. Kandala1, V.C. Meesala3, and C.P. Vyasarayani, “Supercritical and subcritical Hopf bifurcations in a delay differential equation model of a heat exchanger tube under cross-flow”, ASME Journal of Computational and Nonlinear Dynamics, 15(2): 021007, 2020. [publisher: ASME]

S. Surya1, C.P. Vyasarayani, and R. Gangadharan6, “Implicit Floquet analysis for parametric instabilities in a variable angle tow composite panel”, Composite Structures, 233 (1), 111637, 2020. [publisher: Elsevier]

S. Surya1, R. Gangadharan6, C.P. Vyasarayani, P. Weaver5, “Dynamic instability of curved variable angle tow composite panel under axial compression”, Thin-Walled Structures, 138, 302-312, 2019. [publisher: Elsevier]

S.S. Kandala1, T. Uchida5, and C.P. Vyasarayani, “Pole placement for time-delayed systems using Galerkin approximations”, ASME Journal of Dynamical Systems Measurement and Control, 141(5), 051012, 2019.  [publisher: ASME]

S. Chakraborty2, S.S. Kandala1, and C.P. Vyasarayani, “Reduced ordered modelling of time delay systems using Galerkin approximations and eigenvalue decomposition”, International Journal of Dynamics and Control, 7(3), 1065–1083, 2019. [publisher: Springer]

S. Surya1, R. Gangadharan6, Z. Wum5, and C.P. Vyasarayani, “Dynamic instability analysis of variable angle tow composite plate with delamination around a cut-out”, Mechanics of Advanced Materials and Structures, 26(1), 62-70 2019 [publisher: Taylor and Francis]

S.R.  Kothamuthyala7, N. Thammishetti7, S. Prakash5, and C.P. Vyasarayani, “Optimization based improved softened membrane model for rectangular reinforced concrete members under combined shear and torsion”, ASCE Journal of Structural Engineering, 145(2), 2019. [publisher: ASCE]

S. Surya2, C.P. Vyasarayani, and Tamas Kalmar-Nagy5, “Homotopy continuation for characteristic roots of delay differential equations using the Lambert W function”, Journal of Vibration and Control, 24(17), 3944–3951, 2018. [publisher: SAGE]

P. Patil7, C.P. Vyasarayani, and M. Ramji5, “Linear least squares approach for evaluating crack tip fracture parameters using isochromatic and isoclinic data from digital photoelasticity”, Optics and Lasers in Engineering, 93, 182–194, 2017.  [publisher: Elsevier]

S. Surya1, R. Gangadharan6, and C.P. Vyasarayani, “Parametric instabilities of variable angle tow composite laminate under axial compression” Composite Structures, 166, 229–238, 2017. [publisher: Elsevier]

A. Sadath1, V. Vinu2, and C.P. Vyasarayani, “Vibrations of a simply supported cross flow heat exchanger tube with axial load and loose supports”, ASME Journal of Computational and Nonlinear Dynamics, 12(5), 051001-051001-7 2017. [publisher: ASME]

A. Zaid2, T. Uchida5, and C.P. Vyasarayani, “Adaptive sparse Galerkin methods for vibrating continuous structures”, Transactions of the Canadian Society of Mechanical Engineering, 40(1), 2016. [publisher: Canadian Science Publishing]

A. Zaid2, T. Uchida5, A. Subudhi3, and C.P. Vyasarayani, “Stability of human balance with reflex delays using Galerkin approximation”, ASMEJ ournal of Computational and Nonlinear Dynamics, 11(4), 041009, 2016.  [publisher: ASME]

A. Sadath1, H.N. Dixit5, and C.P. Vyasarayani, “Dynamics of cross flow heat exchanger tubes with multiple loose supports”, ASME Journal of  Pressure Vessel Technology, 138(5), 051303, 2016. [publisher: ASME]

R. Harilal7, C.P. Vyasarayani, and M. Ramji5, “A linear least squares approach for evaluation of crack tip stress field parameters using DIC”, Optics and Lasers in Engineering, 75, 95–102, 2015.   [publisher: Elsevier]

A. Zaid2, A. Sadath1, T. Uchida5, and C.P. Vyasarayani, “Galerkin-Arnoldi algorithm for stability analysis of time-periodic delay differential equations”, Nonlinear Dynamics, 82(4), 1893-1904, 2015. [publisher: Springer]

A. Zaid2, T. Uchida5, and C.P. Vyasarayani, “Galerkin approximations with embedded boundary conditions for retarded delay differential equations”, Mathematical and Computer Modelling of Dynamical Systems, 21 (6), 560-572, 2015. [publisher: Taylor and Francis]

A. Sadath1 and C.P. Vyasarayani, “Galerkin approximations for stability of delay differential equations with distributed delays”, ASME Journal of Computational and Nonlinear Dynamics, 10(6), 061024, 2015.  [publisher: ASME]

A. Sadath1 and C.P. Vyasarayani, “Galerkin approximations for stability of delay differential equations with time periodic delays”, ASME Journal of Computational and Nonlinear Dynamics, 10(6), 061008, 2015.  [publisher: ASME]

A. Sadath1 and C.P. Vyasarayani, “Galerkin approximations for stability of delay differential equations with time periodic coefficients”, ASME Journal of Computational and Nonlinear Dynamics, 10 (2), 021011-1, 2015.  [publisher: ASME]

C.P. Vyasarayani, S. Subhash3, and Tamas Kalmar-Nagy5, “Spectral approximations for characteristic roots of delay differential equations”, International Journal of Dynamics and Control, 2 (2), 126-132, 2014. [publisher: Springer]

M. Khater♦, S. Akhtar♦, S. Park●, S. Ozdemir●, E. Abdel-Rahman▼, C.P. Vyasarayani●, and M. Yavuz▼, “Contact damping in MEMS actuators”, Applied Physics Letters, 105, 253501, 2014. [publisher: APS]

T. Uchida●, C.P. Vyasarayani●, M. Smart■, and J. McPhee▼, “Parameter identification for multibody systems expressed in differential-algebraic form”, Multibody System Dynamics, 31(4), 393-403, 2014. [publisher: Springer]

C.P. Vyasarayani●, A. Gupta■, and J. McPhee▼, “Galerkin approximations for retarded delay differential equations with state-dependent delays”, ASME Journal of Dynamical Systems Measurement and Control, 135, 061006, 2013. [publisher: ASME]

C.P. Vyasarayani, “Galerkin approximations for neutral delay differential equations”, ASME Journal of Computational and Nonlinear Dynamics, 8, 021014, 2013. [publisher: ASME]

C.P. Vyasarayani, “Galerkin approximations for higher order delay differential equations”, ASME Journal of Computational and Nonlinear Dynamics, 7, 031004, 2012. [publisher: ASME]

C.P. Vyasarayani●, E.M. Abdel-Rahman□, and J. McPhee▼, “Modelling of contact and stiction in electrostatic micro-cantilever actuators”, ASME Journal of Nanotechnology in Engineering and Medicine, 3, 011003, 2012. [publisher: ASME]

C.P. Vyasarayani●, T. Uchida●, and J. McPhee▼, “Single-shooting homotopy method for parameter identification in dynamical systems”, Physical Review E, 85, 036201, 2012. [publisher: APS]

C.P. Vyasarayani●, T. Uchida●, and J. McPhee▼, “Nonlinear parameter identification in multibody systems using homotopy continuation”, ASME Journal of Computational and Nonlinear Dynamics, 7(1), 011012, 2012. [publisher: ASME] 

C.P. Vyasarayani●, S.S. Sandhu♦, and J. McPhee▼, “Non-smooth modelling of vibro-impacting Euler-Bernoulli beam”, Advances in Acoustics and Vibrations, 2012. [publisher: Hindawi]

T-S Dao●, C.P. Vyasarayani●, and J. McPhee▼, “Simplification and order reduction of lithium-ion battery model based on porous-electrode theory”, Journal of Power Sources, 198, 329-337, 2012. [publisher: Elsevier]

C.P. Vyasarayani●, E.M. Abdel-Rahman□, J. McPhee▼, and S. Birkett▼, “Modelling MEMS resonators past pull-in”, ASME Journal of Computational and Nonlinear Dynamics, 6, 031008, 2011. [publisher: ASME]

C.P. Vyasarayani●, T. Uchida●, A. Carvalho■, and J. McPhee▼, “Parameter identification in dynamic systems using the homotopy optimization approach”, Multibody System Dynamics, 26:411-424, 2011. [publisher: Springer]

C.P. Vyasarayani●, T. Uchida●, and J. McPhee▼, “Parameter identification in multibody systems using symbolic computing and Lie series solutions”, ASME Journal of Computational and Nonlinear Dynamics, 6, 041010, 2011. [publisher: ASME]

C.P. Vyasarayani♦, J. McPhee▼, and S. Birkett▼, “Modelling impacts between a continuous system and a rigid obstacle using coefficient of restitution”, ASME Journal of Applied Mechanics, 77, 021008, 2010. [publisher: ASME]

C.P. Vyasarayani♦, S. Birkett▼, and J. McPhee▼, “Modelling the dynamics of a vibrating string with a finite distributed unilateral constraint: Application to the sitar”, Journal of the Acoustical Society of America, 125(6), 3673-3682, 2009. [publisher: ASA]

C.P. Vyasarayani♦, S. Birkett▼, and J. McPhee▼, “Modelling the dynamics of a compliant piano action mechanism impacting an elastic stiff string”, Journal of the Acoustical Society of America, 125(6), 4034-4042, 2009. [publisher: ASA]

C.P. Vyasarayani and T. Kalmar Nagy, “Galerkin-Least Squares Approximations for Delay Differential Equations: Application to a Circadian Rhythm Model”,   Mathematics of Continuous and Discrete Dynamical Systems, American Mathematical Society, Contemporary Mathematics, 618:133-146, 2014. Edited by A Gumel.

C.P. Vyasarayani, T. Uchida, A. Carvalho and J. McPhee, “Parameter Identification in Dynamic Systems using the Homotopy Optimization Approach”, Identification for Automotive Systems, Springer Lecture Notes in Control and Information Sciences, 418:129-145, 2012. Edited by Daniel Alberer, Håkan Hjalmarsson, and Luigi del Re.