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- Title
On the Asymptotic Analysis of Discontinuous Systems.
- Authors
Fidlin, A.
- Abstract
Discontinuous systems are usual in mechanics. Main examples are systems with dry friction and systems with collisions. Peculiarities of these systems make them very difficult for conventional asymptotic analysis developed for continuous systems, i.e. requiring from the right-hand sides of the equations of motions a definite level of continuity. The main idea of this paper is to transform discontinuous systems to special forms being natural for the corresponding problem. Averaging theorems are formulated and proved for these forms of dynamical systems. The approach is illustrated with examples of vibration-induced displacement.
- Subjects
MECHANICS (Physics); COLLISIONS (Physics); NONLINEAR oscillations; FRICTION; TRIBOLOGY
- Publication
ZAMM -- Journal of Applied Mathematics & Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2002, Vol 82, Issue 2, p75
- ISSN
0044-2267
- Publication type
Article
- DOI
10.1002/1521-4001(200202)82:2<75::AID-ZAMM75>3.0.CO;2-D