Rough Balanced 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 63(1), 168-172 (Mar 01, 1996) (5 pages) doi:10.1115/1.2787194 History: Received January 11, 1994; Revised December 02, 1994; Online October 26, 2007


In multibody systems, balanced collisions—in which the sliding velocity would not change if friction was negligible—are a generalization of central collisions. For them Newton’s and Poisson’s rules are energetically consistent, but even though they are applied an “all linear solution” does not exist if the sliding varies its direction and does not stop. The properties of these collisions are reviewed, the hodographs of the sliding velocity are calculated and used to develop a systematic method to integrate the equations of motion that relies on a single integration from which the remaining unknowns are calculated by means of algebric expressions.

Copyright © 1996 by The American Society of Mechanical Engineers
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