结构动力分析的高精度有限单元法

High Accuracy Finite Element Method of Structural Dynamic Analysis

基于哈密顿变分原理,建立了增加内部自由度的结构动力分析高精度非协调有限元法计算列式,揭示了它与动态有限元法的内在联系;同时,对增加单元结点的高精度动力有限元也进行了评述与讨论.通过实例分析,对高精度动力有限元与常规动力有限元进行了比较.算例表明,与常规有限元相比,常规动态有限元、本文的动态有限元均能给出更好的结果;高阶动力有限元能给出甚至优于动态有限元的计算结果.

Based on Hamilton＇s law of variation principle, the high accuracy incompatible formulation of finite dynamic element that increased internal degree of freedom was established. The relationship between the derived formulation and the conventional finite dynamic element method was revealed. Meanwhile, comments and discussions on the high accuracy finite dynamic element method that increases element nodes were presented. Finally, two numerical examples were given to compare the differences between the conventional finite element method and the high accuracy finite dynamic element method. It was shown that the conventional finite dynamic element method, the finite dynamic element method proposed in this paper and the high accuracy finite dynamic element method that increases element nodes could give more accurate results.