Vibro-impact problems with dry friction. II: Tangential contacts and frictional catastrophes (Q2798649)
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scientific article; zbMATH DE number 6567683
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Vibro-impact problems with dry friction. II: Tangential contacts and frictional catastrophes |
scientific article; zbMATH DE number 6567683 |
Statements
13 April 2016
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discrete mechanical system
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unilateral constraint
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Coulomb's friction
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Painlevé's paradoxes
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measure differential inclusion
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time-discretization scheme
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Vibro-impact problems with dry friction. II: Tangential contacts and frictional catastrophes (English)
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This paper is the second part (see [ibid. 47, No. 5, 3285--3313 (2015; Zbl 1329.34046)]) of a study about the dynamics of a discrete mechanical system with non-trivial inertia operator subjected to unilateral constraints and dry friction. It is explored the influence of tangential contacts on the dynamics of the system, including the presence of frictional catastrophes, i.e., discontinuities on the velocity in the absence of impact. The main tool is the concept of an approximate trajectory constructed in the first part.
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