转动柱壳动力特性的精确解法

An Accurate Method For Dynamic Analysis of Rotational Cylindrical Shells

为研究转动柱壳的动力特性 ,在基于结构真实偏微分方程的基础上 ,提出一种精确解法 ,因而不用离散结构。应用这一方法需先求出由于转动的离心力带来的初始应变。然后通过对边界条件的处理 ,获得对应于变系数微分方程组的特征值问题 ,经过算例验证 ,本方法是可行的。通过算例 ,总结了转动圆柱壳行波振动的一般性质。

In this paper, an accurate method is used to analyze the vibration characteristics of the rotational cylindrical shells. The method is based on the exact partial differential equations describing the structure. So it's unnecessary to discretize, either in structure or in result field. The key step is to calculate the strains caused by centrifugal force. Together with the process of the boundary condition, an eigenvalue problem corresponding with partial differential equations of variable coefficient is investigated.