Vibration, Numerical method, Nonlinear Dynamics, Random Vibration, Rotordynamics, Turbine
786
Scholar Citations
14
Scholar h-index
15
Scholar i10-index
RECENT SCHOLAR PUBLICATIONS
Nonlinear vibration analysis and defect characterization using entropy measure-based learning algorithm in a defective rolling element bearings P Kumar, S Narayanan, P Shakya Structural Health Monitoring 25 (2), 1316-1339 , 2026 2026 Citations: 5
Rub-induced nonlinear vibration and discontinuity-induced bifurcation analysis of a noisy rotor-stator system with different compliant contact force models PS Pankaj Kumar, S. Narayanan Mechanical Systems and Signal Processing 244, 113733 , 2026 2026 Citations: 4
Stochastic roll dynamics of smooth and impacting vessels in random waves P Kumar, S Narayanan Ocean Engineering 307, 118190 , 2024 2024 Citations: 7
Probabilistic response analysis of nonlinear tristable energy harvester under gaussian colored noise P Kumar, S Narayanan Journal of Vibration Engineering & Technologies 11 (6), 2865-2879 , 2023 2023 Citations: 5
Optimization of Energy Harvesting from a Nonlinear Energy Sink P Kumar, S Narayanan International Conference on Nonlinear Dynamics and Applications, 227-237 , 2023 2023
Optimization of Energy Harvesting from a Nonlinear Energy Sink PKS Narayanan Third International Nonlinear Dynamics Conference (NODYCON 2023): Rome, June … , 2023 2023
Influence of Multiple Potential Wells, Excitation Intensities and Electro-Mechanical Parameters on Vibratory Energy Harvesting from Nonlinear Oscillators PKS Narayanan Recent Trends in Wave Mechanics and Vibrations 125, 1177–1186 , 2022 2022
Dynamics of stochastic vibro-impact oscillator with compliant contact force models P Kumar, S Narayanan, S Gupta International Journal of Non-Linear Mechanics 144, 104086 , 2022 2022 Citations: 14
Nonlinear dynamics of dry friction oscillator subjected to combined harmonic and random excitations P Kumar, S Narayanan Nonlinear Dynamics 109 (2), 755-778 , 2022 2022 Citations: 16
Nonlinear Dynamics of Dry Friction Oscillator Subjected to Combined Harmonic and Random Excitation PKS Narayanan 16th International conference of Dynamical Systems-Theory and Applications … , 2021 2021
Dynamics of nonlinear oscillators with discontinuous nonlinearities subjected to harmonic and stochastic excitations S Narayanan, P Kumar Journal of The Institution of Engineers (India): Series C 102 (6), 1321-1363 , 2021 2021 Citations: 5
Dynamics of Discontinuous Nonlinear Oscillators with Compliant Contacts subjected to Combined Harmonic and Random Loadings SG Pankaj Kumar, S.Narayanan NODYCON 2021 , 2021 2021 Citations: 2
Chaos and bifurcation analysis of stochastically excited discontinuous nonlinear oscillators. P Kumar, S Narayanan Nonlinear Dynamics 102 (2), 927 , 2020 2020 Citations: 25
Dynamic parameters estimation and fault identification from random response of rolling element bearing in a rotor bearing system P Kumar, S Narayanan, S Gupta Gas Turbine India Conference 83525, V001T05A011 , 2019 2019 Citations: 3
Targeted energy transfer in stochastically excited system with nonlinear energy sink P Kumar, S Narayanan, S Gupta European Journal of Applied Mathematics 30 (5), 869-886 , 2019 2019 Citations: 14
Analysis of Landslide Hazard in the Western Himalayan Foreland P Kumar National Institute of Technology, Kurukshetra , 2018 2018
Bifurcation analysis of a stochastically excited vibro-impact Duffing-Van der Pol oscillator with bilateral rigid barriers P Kumar, S Narayanan, S Gupta International Journal of Mechanical Sciences 127, 103-117 , 2017 2017 Citations: 76
INVESTIGATION OF TARGETED ENERGY TRANSFER IN STOCHASTICALLY EXCITED SYSTEM WITH NONLINEAR ENERGY SINK P Kumar, S Narayanan, S Gupta International Conference on Engineering Vibration 2017 , 2017 2017
Stochastic bifurcations in a vibro-impact Duffing–Van der Pol oscillator P Kumar, S Narayanan, S Gupta Nonlinear Dynamics 85 (1), 439-452 , 2016 2016 Citations: 66
Investigations on the bifurcation of a noisy Duffing–van der Pol oscillator P Kumar, S Narayanan, S Gupta Probabilistic Engineering Mechanics 45, 70-86 , 2016 2016 Citations: 55
MOST CITED SCHOLAR PUBLICATIONS
Solution of Fokker-Planck equation by finite element and finite difference methods for nonlinear systems P Kumar, S Narayanan Sadhana 31 (4), 445-461 , 2006 2006 Citations: 204
Numerical solutions of Fokker–Planck equation of nonlinear systems subjected to random and harmonic excitations S Narayanan, P Kumar Probabilistic Engineering Mechanics 27 (1), 35-46 , 2012 2012 Citations: 78
Bifurcation analysis of a stochastically excited vibro-impact Duffing-Van der Pol oscillator with bilateral rigid barriers P Kumar, S Narayanan, S Gupta International Journal of Mechanical Sciences 127, 103-117 , 2017 2017 Citations: 76
Fokker–Planck equation analysis of randomly excited nonlinear energy harvester P Kumar, S Narayanan, S Adhikari, MI Friswell Journal of Sound and Vibration 333 (7), 2040-2053 , 2014 2014 Citations: 69
Stochastic bifurcations in a vibro-impact Duffing–Van der Pol oscillator P Kumar, S Narayanan, S Gupta Nonlinear Dynamics 85 (1), 439-452 , 2016 2016 Citations: 66
Investigations on the bifurcation of a noisy Duffing–van der Pol oscillator P Kumar, S Narayanan, S Gupta Probabilistic Engineering Mechanics 45, 70-86 , 2016 2016 Citations: 55
Finite element solution of Fokker–Planck equation of nonlinear oscillators subjected to colored non-Gaussian noise P Kumar, S Narayanan, S Gupta Probabilistic Engineering Mechanics 38, 143-155 , 2014 2014 Citations: 40
Modified path integral solution of Fokker–Planck equation: Response and bifurcation of nonlinear systems P Kumar, S Narayanan 2010 Citations: 35
Chaos and bifurcation analysis of stochastically excited discontinuous nonlinear oscillators. P Kumar, S Narayanan Nonlinear Dynamics 102 (2), 927 , 2020 2020 Citations: 25
Nonlinear stochastic dynamics, chaos, and reliability analysis for a single degree of freedom model of a rotor blade P Kumar, S Narayanan 2009 Citations: 22
Stochastic bifurcation analysis of a Duffing oscillator with Coulomb friction excited by Poisson white noise P Kumar, S Narayanan, S Gupta Procedia Engineering 144, 998-1006 , 2016 2016 Citations: 18
Nonlinear dynamics of dry friction oscillator subjected to combined harmonic and random excitations P Kumar, S Narayanan Nonlinear Dynamics 109 (2), 755-778 , 2022 2022 Citations: 16
Dynamics of stochastic vibro-impact oscillator with compliant contact force models P Kumar, S Narayanan, S Gupta International Journal of Non-Linear Mechanics 144, 104086 , 2022 2022 Citations: 14
Targeted energy transfer in stochastically excited system with nonlinear energy sink P Kumar, S Narayanan, S Gupta European Journal of Applied Mathematics 30 (5), 869-886 , 2019 2019 Citations: 14
Response statistics and reliability analysis of a mistuned and frictionally damped bladed disk assembly subjected to white noise excitation P Kumar, S Narayanan Turbo Expo: Power for Land, Sea, and Air 44014, 649-658 , 2010 2010 Citations: 12
Stochastic roll dynamics of smooth and impacting vessels in random waves P Kumar, S Narayanan Ocean Engineering 307, 118190 , 2024 2024 Citations: 7
Numerical solution of multidimensional Fokker-Planck equation for nonlinear stochastic dynamical systems P Kumar, S Narayanan Advances in Vibration Engineering 8 (2), 153-163 , 2009 2009 Citations: 6
Nonlinear vibration analysis and defect characterization using entropy measure-based learning algorithm in a defective rolling element bearings P Kumar, S Narayanan, P Shakya Structural Health Monitoring 25 (2), 1316-1339 , 2026 2026 Citations: 5
Probabilistic response analysis of nonlinear tristable energy harvester under gaussian colored noise P Kumar, S Narayanan Journal of Vibration Engineering & Technologies 11 (6), 2865-2879 , 2023 2023 Citations: 5
Dynamics of nonlinear oscillators with discontinuous nonlinearities subjected to harmonic and stochastic excitations S Narayanan, P Kumar Journal of The Institution of Engineers (India): Series C 102 (6), 1321-1363 , 2021 2021 Citations: 5