New results on the stability of quasi-static paths of a single particle system with Coulomb friction and persistent contact

被引：0

作者：

Schmid, F. ^{[1
]}

Martins, J. A. C. ^{[2
,3
]}

Rebrova, N. ^{[2
,3
]}

机构：

[1] Weierstrass Inst Appl Anal, Mohrenstr 39, D-10117 Berlin, Germany

[2] Inst Super Tecn, Dept Engn Civil, P-1049001 Lisbon, Portugal

[3] ICIST, P-1049001 Lisbon, Portugal

来源：

TOPICS ON MATHEMATICS FOR SMART SYSTEMS | 2007年

关键词：

Coulomb friction; quasi-static; persistent contact; stability;

D O I：

10.1142/9789812706874_0015

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper we announce some new mathematical results on the stability of quasi-static paths of a single particle linearly elastic system with Coulomb friction and persistent normal contact with a flat obstacle. A quasi-static path is said to be stable at some value of the load parameter if, for some finite interval of the load parameter thereafter, the dynamic solutions behave continuously with respect to the size of the initial perturbations (as in Lyapunov stability) and to the smallness of the rate of application of the external forces, e (as in singular perturbation problems). In this paper we prove sufficient conditions for stability of quasi-static paths of a single particle linearly elastic system with Coulomb friction and persistent normal contact with a flat obstacle. The present system has the additional difficulty of its non-smoothness: the friction law is a multivalued operator and the dynamic evolutions of this system may have discontinuous accelerations.

引用

页码：208 / +

页数：3

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