旋转厚壳的自由振动计算

Free Vibration of Thick Shells of Revloution

由板壳理论及Ｍｉｎｄｌｉｎ假设，导出了旋转厚壳的一阶基本微分方程组。求解时采用了子结构离散变量法。文末给出了算例。

From the theory of plates and shells and the Mindlin assumption,a set of first order differentialequations about the ten state parameters of a thick shell of revolution are derived.The equations arethen solved by using the discrete-variable method.order to improve the accuracy and the digitalsteadibility of the solution,a substructure-Riccati method is proposed.At the end of the paper two ex-amples are presented and the results are compared with those of analytical methods and those of FEM.The examples show that the method has a high accuracy and digital steadibility.