Pankaj Kumar

@bhel.com

Sr. Manager

RESEARCH INTERESTS

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