求解结构动应力的振型函数差分法

Method of solving structural dynamic stress in modal function and finite difference

本文利用常规有限元方法的计算结果，结合数值计算方法对振型函数进行［Ｌ］算子的微分计算，从而可方便迅速获得到复杂结构动应力响应，并对梁和板进行了计算，计算结果表明该方法具有较高的精度，较一般的动态有限元具有通用性强，计算简单等特点。

A new method solving structrual dynamic stress in finit element is presented in this paper. Stuctural dynamic stress can be obtained conveniently, which use solution of finite element and calculation of finite difference on modal function. Finally, we use the new method to analyze and calculate the example(bending beam and board). The results of calculation is high compared with finite element, and its calculation volocity is fast compared with dynamic finite element.