Correlation Between Impulse and Compliance Based Methods in Rigid Body Collisions
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Impact problems arise in many practical applications. The need of obtaining an accurate model for the inelastic impact is a challenging problem. In general, two approaches are common in solving the impact problems: the impulse-momentum and the compliance based methods. The former approach included the coefficient of restitution which provides a mechanism to solve the problem explicitly. While the compliance methods are generally tailored to solve elastic problems, researchers in the field have proposed several mechanisms to include inelastic losses. In this paper, we present a correlation between the coefficient of restitution in the impulse-momentum based method and the contact stiffness in the compliance methods. We conducted numerical analysis to show that the resulting solutions are indeed identical for a wide range of impact conditions. The numerical results showed that, the two methods can produce similar outcomes if they satisfied a set of end conditions.
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Volume 4: 8th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A and B
