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The directional instability problem in systems with frictional contacts

机译:带有摩擦接触的系统中的方向不稳定性问题

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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.
机译:本文总结的研究解决了具有单边摩擦接触的有限维系统的方向不稳定性。讨论了这种发散型不稳定性发生的条件,开发了互补公式,并提出了求解相应非光滑稳定性特征问题的数值程序。通过分析或数值求解和讨论各种示例,即一些具有不稳定性模式的有限元示例,这些不稳定性模式包括在接触表面的不同部分向滑移或粘滞的演变。

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