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Impact of a Multiple Pendulum with a Non-Linear Contact Force

Author

Listed:
  • Dan B. Marghitu

    (Department of Mechanical Engineering, 1418 Wiggins Hall, Auburn University, Auburn, AL 36849-5341, USA
    These authors contributed equally to this work.)

  • Jing Zhao

    (Department of Mechanical Engineering, 1418 Wiggins Hall, Auburn University, Auburn, AL 36849-5341, USA
    These authors contributed equally to this work.)

Abstract

This article presents a method to solve the impact of a kinematic chain in terms of a non-linear contact force. The nonlinear contact force has different expressions for elastic compression, elasto-plastic compression, and elastic restitution. Lagrange equations of motion are used to obtain the non-linear equations of motion with friction for the collision period. The kinetic energy during the impact is compared with the pre-impact kinetic energy. During the impact of a double pendulum the kinetic energy of the non-impacting link is increasing and the total kinetic energy of the impacting link is decreasing.

Suggested Citation

  • Dan B. Marghitu & Jing Zhao, 2020. "Impact of a Multiple Pendulum with a Non-Linear Contact Force," Mathematics, MDPI, vol. 8(8), pages 1-13, July.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:8:p:1202-:d:387815
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