Nonlinear Dynamics

, Volume 10, Issue 2, pp 187–201 | Cite as

Nonlinear dynamics of an elastic rod with frictional impact

  • Dan B. Marghitu
  • Yildirim Hurmuzlu


A model is presented for the impact with friction of a flexible body in translation and rotation. This model consists of a system of nonlinear differential equations which considers the multiple collisions as well as frictional effects at the contacting end, and allows one to predict the rigid and elastic body motion after the impact. The kinetic energy is derived by utilizing a generalized velocity field theory for elastic solids. The model uses a dry coefficient of friction and a nonlinear contact force. We introduce a finite number of vibrational modes to take into account the vibrational behavior of the body during impact. The vibrations, the multiple collisions, and the angle of incidence angle, are found to be important factors for the kinematics of frictional impact. Analytical and experimental results were compared to establish the accuracy of the model.

Key words

Coefficient of restitution coefficient of friction nonlinear contact force multicollisions vibrational modes 


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Copyright information

© Kluwer Academic Publishers 1996

Authors and Affiliations

  • Dan B. Marghitu
    • 1
  • Yildirim Hurmuzlu
    • 2
  1. 1.Department of Mechanical EngineeringAuburn UniversityU.S.A.
  2. 2.Mechanical Engineering DepartmentSouthern Methodist UniversityU.S.A.

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