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Damping feature of dynamic problem and “velocity” finite element method

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Abstract

In order to reduce the amount of computation and storage of dynamic problem, this paper based on [16] is intended to analyse damping feature, and study the relations among the damping and the material as well as frequencies and the size of mesh of finite element, besides giving the estimation theorem of maximum norm and a corollary.

Examples have been analyzed numerically with limited norm. The influence of damping on the dynamic tense stress is assumed to be limited in value, but it can be both positive and negative.

This means that to regard damping as always tending to decrease the stress incline is incorrect.

The feature of “velocity” finite element method is summarized further in the paper. Some necessary numerical results are given in the appendix.

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Communicated by Tang LI-min.

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Zhen-rong, Y., Rong-ling, Y. Damping feature of dynamic problem and “velocity” finite element method. Appl Math Mech 4, 253–260 (1983). https://doi.org/10.1007/BF01895449

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  • DOI: https://doi.org/10.1007/BF01895449

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