On Newton’s and Poisson’s Rules of Percussive Dynamics

[+] Author and Article Information
J. A. Batlle

Department of Mechanical Engineering, Polytechnical University of Catalunya, 08028 Barcelona, Spain

J. Appl. Mech 60(2), 376-381 (Jun 01, 1993) (6 pages) doi:10.1115/1.2900804 History: Received May 13, 1992; Revised September 14, 1992; Online March 31, 2008


Newton’s and Poisson ’s rules are widely used in percussive dynamics because they lead to an “all linear” solution. However, they are in general energetically inconsistent in rough collisions. The equivalence between both rules and a broad condition for them to be energetically consistent is presented for single point collisions in multibody systems with perfect constraints. It is fulfilled in collisions described by equations of motion with constant coefficients—sliding in the same direction or no sliding—and in “balanced” collisions—sliding velocity would not change if friction were negligible—Coulomb’s friction and infinite tangential stiffness are assumed at the collision point.

Copyright © 1993 by The American Society of Mechanical Engineers
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