Stability characterizations of rigid body contact problems with Coulomb friction

Citation
Js. Pang et J. Trinkle, Stability characterizations of rigid body contact problems with Coulomb friction, Z ANG MA ME, 80(10), 2000, pp. 643-663
Citations number
22
Categorie Soggetti
Mechanical Engineering
Journal title
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
ISSN journal
00442267 → ACNP
Volume
80
Issue
10
Year of publication
2000
Pages
643 - 663
Database
ISI
SICI code
0044-2267(2000)80:10<643:SCORBC>2.0.ZU;2-J
Abstract
This paper formally introduces several stability characterizations of syste ms of rigid bodies initially at rest and in unilateral contact with dry fri ction. These characterizations, weak stability and strong stability (and th eir complements), arise naturally from the dynamic model of the system. for mulated as a complementarity problem. Using the tools of complementarity th eory, these characterizations are studied in detail to understand their pro perties and to develop techniques to identify the stability classifications of general systems subjected to known external loads. MSC (1991): 73K10, 7 3T05.