动力阻尼特性及速度有限元法

杨真荣; 闫榕玲

动力阻尼特性及速度有限元法

中国科学院计算中心

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出版历程
- 收稿日期: 1981-04-23
- 刊出日期: 1983-04-15

Damping Feature of Dynamic Problem and “Velocity” Finite Element Method

Computer Center, Academia Sinica, Beijing

摘要

摘要: 为了节省动态问题的计算量和存贮量,本文在[16]的基础上,分析动态阻尼特性,研究阻尼与材料、有限元格网尺寸或频率等定量关系,给出了最大模的估计定理及不同情况的推论.结合数值分析实例,论证阻尼对于动拉应力的影响是按模有界的;其影响值存在正负.这说明,只认为阻尼会使应力“一律偏小”的观念是不确切的.文中,进一步说明了速度有限元法的特点.文末附录了必要的数值计算成果.

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 botli 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 numericsl results are given in the appendix.

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参考文献(17)

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