高速旋转薄壁圆柱壳的行波共振特性研究

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振动与冲击 ›› 2016, Vol. 35 ›› Issue (5) : 222-227.

论文

高速旋转薄壁圆柱壳的行波共振特性研究

王宇1，谷月2，李晖3，韩冰1

作者信息 +

Study on travelling wave resonance characteristics for a high-speed rotating thin cylindrical shell

WANG Yu1，GU Yue2，LI Hui3，HAN Bing1

Author information +

文章历史 +

摘要

基于传递矩阵法研究了不同边界条件下高速旋转薄壁圆柱壳的行波共振特性。首先，基于Love 壳体理论，考虑离心力、科氏力和惯性力的影响，建立了旋转态薄壁圆柱壳的振动微分方程；然后，引入传递矩阵方法，根据壳体子段间的状态向量表达式，推导了结构的整体传递矩阵；最后，通过高精度的精细积分法进行求解，得到了两端简支、两端固支和固支-自由边界条件下的共振特性。算例结果表明，传递矩阵方法适合于求解高速旋转薄壁圆柱壳的行波共振特性，在三种边界条件下以周向模态的振动为主；在工作转速和1倍频激振力作用下，共振裕度小于10%的共振转速点仅有一个，而在其它倍频激振下的共振转速点不在安全裕值范围内。

Abstract

The traveling wave resonance characteristics for a high-speed rotating thin cylindrical shell were studied under different boundary conditions based on transfer matrix method. Firstly, the vibration differential equations of a rotating thin cylindrical shell were set up based on Love’s shell theory, in which centrifugal forces, coriolis forces and inertial forces were involved. Secondly, depending on the state vector expression between sub-segments, the transfer matrix method was introduced to derive the overall transfer matrix of the structure. Finally, its resonance characteristics were solved by high-precise integration method under simply supported-simply supported, clamped-clamped and clamped-free boundary conditions. The example’s results show that transfer matrix method is suitable for solving the resonance characteristics for the high-speed rotating thin cylindrical shell, and the vibration modals are mainly presented as circumferential direction under three boundary conditions. There is only one resonance speed point when the resonance margin is less than 10% under the operating speed and first octave excitation, but the resonance speed points in other octave excitation are not within the safety margin range.

导出引用

王宇1，谷月2，李晖3，韩冰1. 高速旋转薄壁圆柱壳的行波共振特性研究[J]. 振动与冲击, 2016, 35(5): 222-227

WANG Yu1，GU Yue2，LI Hui3，HAN Bing1. Study on travelling wave resonance characteristics for a high-speed rotating thin cylindrical shell[J]. Journal of Vibration and Shock, 2016, 35(5): 222-227

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