Reduction of second order unilateral singular systems. Applications in mechanics

被引：0

作者：

Dumont, YY ^{[1
]}

Goeleven, D ^{[1
]}

Rochdi, M ^{[1
]}

机构：

[1] Univ La Reunion, IREMIA, F-97715 St Denis 9, Reunion, France

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 2001年 / 81卷 / 04期

关键词：

unilateral problems in mechanics; friction Coulomb's law; unilateral constraints; impact laws; differential inclusions; variational inequalities; reduction methods; matrix analysis; difference methods for differential inclusions; nonsmooth damped spring-mass systems;

D O I：

10.1002/1521-4001(200104)81:4<219::AID-ZAMM219>3.0.CO;2-H

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to discuss the mathematical strategies permitting the treatment of second order unilateral systems involving singular mass, damping, and stiffness matrices. Reduction methods are used here to transform second order differential inclusions in first order and classical results on differential inclusions are considered in order to obtain solution. Frictions and impact problems arising in Unilateral Mechanics are studied so as to illustrate the theoretical approach.

引用

页码：219 / 245

页数：27

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