On a computational approach to multiple contacts / impacts of elastic bodies

J. Vala, Václav Rek
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Abstract

The analysis of dynamic contacts/impacts of several deformable bodies belongs to both theoretically and computationally complicated problems, because of the presence of unpleasant nonlinearities and of the need of effective contact detection. This paper sketches how such difficulties can be overcome, at least for a model problem with several elastic bodies, using i) the explicit time-discretization scheme and ii) the finite element technique adopted to contact evaluations together with iii) the distributed computing platform. These considerations are supported by the references to useful generalizations, motivated by significant engineering applications. Illustrative examples demonstrate this approach on structures assembled from a finite number of shells.
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弹性体多次接触/冲击的计算方法
由于存在令人不快的非线性和需要有效的接触检测,几种可变形物体的动态接触/碰撞分析在理论上和计算上都是复杂的问题。本文概述了如何克服这些困难,至少对于一个有几个弹性体的模型问题,使用i)显式时间离散方案和ii)采用有限元技术与iii)分布式计算平台进行接触评估。这些考虑得到了参考有用的概括的支持,这些概括是由重要的工程应用驱动的。举例说明了这种方法在由有限数量的壳组合而成的结构上的应用。
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