Stability and Critical Points in Large Displacement Frictionless Contact Problems
Stability and Critical Points in Large Displacement Frictionless Contact Problems
复制标题
大位移无摩擦接触问题的稳定性和关键点
DOI：
10.1007/978-3-7091-2534-2_2
复制
发表时间：
2002
期刊：
影响因子：
--
通讯作者：
A. Klarbring
中科院分区：
文献类型：
--
作者：
A. Klarbring
本课堂讲稿讨论离散的机械结构，当变形时可能与刚性障碍物发生无摩擦的单边接触。由于考虑了任意大的位移，结构可能发生屈曲，即表现出不稳定性。经典地，对于不受单边接触的结构，临界点（结构的稳定行为可能改变特征或可能发生分岔）分为极限点和（光滑）分岔点。接触约束的存在会引入其他类型的临界点，我们可以将其标记为非光滑分岔点、角极限点和端点。
The present lecture notes discuss discrete mechanical structures that when deformed may come into frictionless unilateral contact with rigid obstacles. Since arbitrarily large displacements are considered, the structures may buckle, ie exhibit instabilities. Classically, for a structure not subjected to unilateral contact, critical points (where the stability behaviour of the structure may change character or bifurcation may occur) are divided into limit points and (smooth) bifurcation points. The presence of contact constraints is shown to introduce additional types of critical points, which we may label as non-smooth bifurcation points, comer limit points and end points.