矩形底面球形网格扁壳的动力分析

The dynamic analyses of globular lattice flat shells with rectangular bottom

本文利用连续化方法对矩形底面球形网格扁壳的动力问题进行了研究,推出了一般的动力控制方程。在四边简支的边界条件下,振动方程的解可由两个双重级数的试函数求得。对竖向地震作用下的解也可用类似的方法得到,其计算公式中的相应系数与《建筑抗震设计规范(GBJ11-89)》中的系数相似,并可利用竖向地震反应谱求得。

In this paper, the dynamic problems of globular lattice flat shells were studied and the general vibration equations were derived by using the method of simulated shell. In the case of simply supported lattice flat shells * the solution of vibration equations would easily be calculated by using two functions of a double trigonometric series. When vertical earthquske wave applied on the shell, the solution would be given similarly. The coefficient in the formulas is very close with the standard GBJ11-89 and can be obtained by using the vertical seismic response spectrum method.