几何参数对旋转薄壁圆柱壳振动特性的影响

摘 要: 本文基于Love壳体理论对旋转薄壁圆柱壳的自由振动特性进行分析，讨论几何参数对圆柱壳振动特性的影响。针对五种边界条件，分别分析厚度与半径之比、半径与长度之比对旋转薄壁圆柱壳固有频率特性的影响；探讨半径与长度之比对系统振型比的影响。分析结果表明：圆柱壳固有频率随着厚度与半径之比的增加而单调增加，增加幅度较小。半径与长度之比对圆柱壳固有频率与振型比的影响显著，且随其增大固有频率及振型比均不单调变化。由此可知，细长圆柱壳的振动特性与短粗圆柱壳的振动特性差异显著，研究结果为圆柱壳的动力学分析提供理论依据。

Effects of geometric parameters on vibration characteristics of rotating thin circular cylindrical shell

Abstract: In this paper, according to Love’s shell theory, the free vibration of rotating circular cylindrical shell is studied. Aiming at the different boundary condition, the effects of geometric parameters on nature frequency and the ratio of vibration mode for the circular cylindrical shell are analyzed. The research results show that the effect of the thickness-to-radius ratio on nature frequency is not notable, and nature frequency of rotating cylindrical shell monotonically increases along with the increase of the thickness-to-radius ratio. While, the effect of the radius-to-length ratio on nature frequency is notable, and nature frequencies don’t monotonically change along with the change of the radius-to-length ratio. In addition, the effect of the radius-to-length ratio has great influence on the ratio of mode vibration for rotating cylindrical shell. Therefore, there exists remarkable difference between dynamic characteristic of slender shell and short shell. This research will supply reference to dynamic study of circular cylindrical shell.