正交各向异性圆柱层壳振动和屈曲分析

本文从正交各向异性圆柱层壳的动力和相容方程出发，导出了层壳振动和屈曲的控制微分方程，再用加权残值法进行分析，得支了层壳的振动和屈曲的一般表达式，由此可以求得层壳的自振频率和临界载荷，文中引用算例说明应用，并通过３种不同圆管自振频率的比较，验证了本文所介绍方法的有效性。

Vibrantion and Buckling Analysis of Orthotropic Circular Cylindrical Laminated Shells

In this paper, on the basis of dynamic and compatible equations of orthotropic circular cylindrical laminated shells.the basic differential equations are derived. A general expession of vibration and buckling of laminated shells is obtained by means of analysis of the weighted residual method. From this,the free vibration frequences and critical loads may be found. An example is applied to explain this method usage in this paper. Comparing with the free frequences of three different circular pipes. this method effctiveness is verified.