用摄动法求一个小变形圆柱体在静止流体中固有频率的近似解

An Approximate Solution of the Natural frequency of the Circular Cylinder with Microchange in Form in Quiescent Fluid by the Perturbation Method

本文用摄动法求解了一个微小变形圆柱体在静止流体中固有频率的近似解,从而避免了直接求其精确解所遇到的困难。本文认为,摄动法是求解此类问题的一个简单有效的方法,具有一定的实用意义。

This thesis finds an approximate solution of the natural frequency of the circular cylirder with microchange in form in quiescent fluid by the perturbation method, hence avoiding the difficulties in finding its exact solution by a direct way. The thesis holds that the perturba- tion method is an easy but effective way to find solutions to the similar problems. It has some practical significance.