广义协调元在薄壳自由振动分析中的应用

THE ANALYSIS OF VIBRATION OF THIN SHELLS WITH GENERALIZED CONFORMING ELEMENTS

本文采用20个自由度的矩形平板型壳单元分析薄筒壳自由振动问题。在文献[1]的基础上,将广义协调元的应用范围扩大到了壳体分析中,目的是找出简单实用的方法分析板壳这类具有特殊性质的结构。该单元由平面应力单元和平板弯曲单元经简单叠加而成,是一种性能良好的单元。沿用常规作法非常便利,程序容易实现。经算例验证,该单元自由度少,精度较好,实用方便,适合于工程应用。

In this paper, generalized conforming rectangular flat shell elements with 20 degrees of freedom are used to analyze the free vibration of thin barrel shells. Our research was inspired by the paper [ 1] in which the application of the generalized conforming elements extends to the analyses of shells in order to find out simpler and more practical method to analyse the plates and shells which are structures exibiting special characteristics. The above mentioned element is formed by superimposing the element of planar stresses and the element of bending of plates and is a kind of element having nice property. By the use of the elements above mentioned, the natural frequencies of the thin barrel shell are obtained. The numerical example show that the calculated frequencies .are of high precision. Besides, it offers simple computational work and easy programming. It is worth to refer it as an excellent element in engineering applications.