A model of a spring-mass-damper system with temperature-dependent friction

被引：3

作者：

Migorski, S. ^{[1
]}

Ochal, A. ^{[1
]}

Shillor, M. ^{[2
]}

Sofonea, M. ^{[3
]}

机构：

[1] Jagiellonian Univ, Inst Comp Sci, Fac Math & Comp Sci, PL-30348 Krakow, Poland

[2] Oakland Univ, Dept Math & Stat, Rochester, MI 48309 USA

[3] Univ Perpignan, Lab Math & Phys, F-66860 Perpignan, France

来源：

EUROPEAN JOURNAL OF APPLIED MATHEMATICS | 2014年 / 25卷

关键词：

Spring-mass-damper system; Contact; Temperature-dependent friction; Normal compliance; Heat generation; Differential inclusion; Clarke subdifferential; Existence and uniqueness; THERMOVISCOELASTIC BEAM MODEL; CONTACT; BRAKES;

D O I：

10.1017/S0956792513000272

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This work models and analyses the dynamics of a general spring-mass-damper system that is in frictional contact with its support, taking into account frictional heat generation and a reactive obstacle. Friction, heat generation and contact are modelled with subdifferentials of, possibly non-convex, potential functions. The model consists of a non-linear system of first-order differential inclusions for the position, velocity and temperature of the mass. The existence of a global solution is established and additional assumptions yield its uniqueness. Nine examples of conditions arising in applications, for which the analysis results are valid, are presented.

引用

页码：45 / 64

页数：20

共 22 条

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