On non-smooth dynamics

On non-smooth dynamics
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DOI:
10.1007/s11012-008-9139-1
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发表时间:
2008-06
期刊:
影响因子:
2.7
通讯作者:
F. Pfeiffer
F. Pfeiffer
中科院分区:
工程技术3区
文献类型:
--
作者:
F. Pfeiffer

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非光滑力学的基本原理在上个世纪后半叶在欧洲得到了发展,并从那时起不断扩展和完善。经典的多体理论是在90年代被纳入的,允许处理单边接触的大问题,而这在以前是不可行的。一个大问题仍然存在于相关的计算时间,在过去的15年里,这可能会大大减少,部分是因为对问题的更好的理论描述,部分是因为更好的数值算法。这篇文章描述了这些过程的演变,导致了今天相当强大的方法。然而,这一问题上的进展尚未结束。工业例子说明了这一理论。
The fundamentals of non-smooth mechanics have been developed in Europe in the second half of the last century and since then continuously extended and improved. The inclusion into the classical multibody theory took place in the nineties allowing the treatment of large problems with unilateral contacts, which were not feasible before. One large problem still consists in the relevant computing times, which in the last fifteen years could be brought down considerably, partly by a better theoretical description of the problem and partly by better numerical algorithms. This paper describes the evolution of these processes leading today to quite powerful methods. Nevertheless progress in this matter has not yet come to an end. Industrial examples illustrate the theory.