转动壳体行波振动的有限元分析方法

Traveling-Wave Vibration of Rotating Shells by Finite Element Method

转动壳体由于离心力与哥氏力的影响 ,其振动频率随转速变化 ,并且同一振型对应两个不同频率的前、后行波。本文给出了用有限元法计算转动壳体的有限元公式 ,用 MSC/ NASTRAN的 DMAP语言编制了形成哥氏力矩阵与离心刚度矩阵的程序 。

The finite element equations of the traveling wave vibration of rotating shells with the effects of the Coriolis and centrifugal force are established in this paper.Because of the effect of Coriolis force,the frequencies of forward and backward wave are different even under the rotating coordinate system.This is the main difference between rotating shells and disks.The Coriolis and centrifugal stiffness matrixes are formed by modifying the lump mass matrix and introduced into finite element program MSC/NASTRAN by DMAP (Direct Matrix Abstraction Program).To validate the present analysis,comparisons are made with existing results for a rotating shell and good agreement is obtained.