Conditions for Dual Compression in Perfectly Elastic Three-Dimensional Collisions

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

Department of Mechanical Engineering, Polytechnical University of Catalunya, Av. Diagonal, 647, 08028 Barcelona, Spain

J. Appl. Mech 66(3), 607-611 (Sep 01, 1999) (5 pages) doi:10.1115/1.2791482 History: Received October 08, 1998; Revised March 01, 1999; Online October 25, 2007


The jamb (self-locking) process in single-point three-dimensional rough collisions in multibody systems may lead to a dual compression: a second compression phase develops after an initial compression-expansion one. In such a case the usual energetical restitution coefficient ew is ill defined. This article presents a thorough analysis, by means of the incremental Routh ’s model, of the conditions leading to dual compression in the case of perfectly elastic collisions. For a given general collision configuration and for each value of the friction coefficient greater than the threshold value for jamb, there is always a domain of directions of the incident velocity leading to dual compression. An application example is presented.

Copyright © 1999 by The American Society of Mechanical Engineers
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