The directional instability problem in systems with frictional contacts

被引:66
作者
da Costa, AP
Martins, JAC
Figueiredo, IN
Júdice, JJ
机构
[1] Inst Super Tecn, Dept Engn Civil & Arquitectura, P-1049001 Lisbon, Portugal
[2] Inst Super Tecn, ICIST, P-1049001 Lisbon, Portugal
[3] Univ Coimbra, Dept Matemat, P-3001454 Coimbra, Portugal
关键词
Coulomb friction; directional instability; angular bifurcation; complementarity problems; finite elements;
D O I
10.1016/j.cma.2003.09.013
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The research summarized in this paper addresses the directional instability of finite dimensional systems with unilateral frictional contacts. Conditions for the occurrence of this divergence type instability are discussed, complementarity formulations are developed, and numerical procedures are proposed for the solution of the corresponding non-smooth stability eigenproblems. Various examples are analytically or numerically solved and discussed, namely some finite element examples that have instability modes involving evolution towards slip or stick in different portions of the contact surface. (C) 2003 Elsevier B.V. All rights reserved.
引用
收藏
页码:357 / 384
页数:28
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