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Dynamics of Discontinuous Nonlinear Oscillators with Compliant Contacts Subjected to Combined Harmonic and Random Loadings

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Advances in Nonlinear Dynamics

Part of the book series: NODYCON Conference Proceedings Series ((NCPS))

Abstract

The dynamics of a discontinuous nonlinear oscillator with compliant Hertzian contacts, subjected to combined harmonic and stochastic excitations, is investigated. Adaptive time step** procedure combined with a bisection method and Brownian tree approach is used for accurately determining the discontinuity point and to direct the solution along the correct Brownian path. A stochastic bifurcation analysis is carried out and is quantified in terms of the expected largest Lyapunov exponent and the joint probability density function (pdf) of the response.

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Author information

Authors and Affiliations

  1. Dynamic Analysis Group, Bharat Heavy Electricals Limited, Nagpur, India

    Pankaj Kumar

  2. Mechanical Engineering, Indian Institute of Technology Madras, Chennai, India

    S. Narayanan

  3. Applied Mechanics, Indian Institute of Technology Madras, Chennai, India

    Sayan Gupta

Authors
  1. Pankaj Kumar
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  2. S. Narayanan
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  3. Sayan Gupta
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Editor information

Editors and Affiliations

  1. Department of Structural and Geotechnical Engineering, Sapienza University of Rome, Rome, Italy

    Walter Lacarbonara

  2. Department of Mechanical Engineering, University of Maryland, College Park, MD, USA

    Balakumar Balachandran

  3. Department of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA, USA

    Michael J. Leamy

  4. Department of Physics, Lanzhou University of Technology, Lanzhou, Gansu, China

    Jun Ma

  5. ISEP-Institute of Engineering, Polytechnic of Porto, Porto, Portugal

    J. A. Tenreiro Machado

  6. Department of Applied Mechanics, Budapest University of Technology and Economics, Budapest, Hungary

    Gabor Stepan

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Kumar, P., Narayanan, S., Gupta, S. (2022). Dynamics of Discontinuous Nonlinear Oscillators with Compliant Contacts Subjected to Combined Harmonic and Random Loadings. In: Lacarbonara, W., Balachandran, B., Leamy, M.J., Ma, J., Tenreiro Machado, J.A., Stepan, G. (eds) Advances in Nonlinear Dynamics. NODYCON Conference Proceedings Series. Springer, Cham. https://doi.org/10.1007/978-3-030-81162-4_74

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  • DOI: https://doi.org/10.1007/978-3-030-81162-4_74

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-81161-7

  • Online ISBN: 978-3-030-81162-4

  • eBook Packages: EngineeringEngineering (R0)

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