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

Dan B. Marghitu and Jing Zhao
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Dan B. Marghitu: Department of Mechanical Engineering, 1418 Wiggins Hall, Auburn University, Auburn, AL 36849-5341, USA
Jing Zhao: Department of Mechanical Engineering, 1418 Wiggins Hall, Auburn University, Auburn, AL 36849-5341, USA

Mathematics, 2020, vol. 8, issue 8, 1-13

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.

Keywords: impact; non-linear contact force; friction force; non-linear equations of motion; permanent deformation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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