基于阻抗综合法的梁-圆柱壳耦合系统动态特性分析

PDF(735 KB)

振动与冲击 ›› 2018, Vol. 37 ›› Issue (1) : 8-13.

论文

周海军 1 ，贺才春 1，姜其斌 1，李玩幽 2，周常荣 1，莫海枢 1

作者信息 +

Dynamic analysis of a coupled beam-cylindrical shell system based on the Receptance Synthesis Approach

Haijun Zhou 1 Caichun He 1 Qibin Jiang 1 Wanyou Li 2 Changrong Zhou 1 Haishu Mo 1

Author information +

文章历史 +

摘要

采用阻抗综合方法研究梁-圆柱壳耦合系统的动态特性。耦合系统被分成梁子结构和壳子结构两个部分。梁和圆柱壳两个子结构的阻抗函数分别采用改进的傅里叶级数方法和波传播方法得到。根据子结构耦合处的机构动力学相容和力平衡条件，可以通过激励载荷直接得到耦合系统的响应。该方法被应用到一个梁-壳耦合系统，通过与有限元模型结果的对比验证了方法的正确性。之后通过改变部分模型参数，研究了一个集中质量点-轴段-圆柱壳模型的振动响应特性。

Abstract

A receptance synthesis approach was formulated to investigate the dynamic characteristics of a coupled beam-cylindrical shell system. The system was divided into a beam substructure and a shell substructure. The receptance functions for the beam and cylindrical shell substructures were determined using the improved Fourier series method and the wave propagation approach respectively. Based on the kinematic compatibility and force equilibrium conditions at the coupling interfaces of the substructures, the responses of the coupled system were directly predicted though the load applied to the substructures. The receptance synthesis approach was then used to determine the responses of a beam-shell system which serves to validate the correctness of the method, comparing with a FEA model. The vibration responses of a coupled lumped mass-shaft-cylindrical shell system were then used to study the effects of modifying some model parameters.

导出引用

周海军 1,贺才春 1，姜其斌 1，李玩幽 2，周常荣 1，莫海枢 1. 基于阻抗综合法的梁-圆柱壳耦合系统动态特性分析[J]. 振动与冲击, 2018, 37(1): 8-13

Haijun Zhou 1 Caichun He 1 Qibin Jiang 1 Wanyou Li 2 Changrong Zhou 1 Haishu Mo 1. Dynamic analysis of a coupled beam-cylindrical shell system based on the Receptance Synthesis Approach[J]. Journal of Vibration and Shock, 2018, 37(1): 8-13

参考文献

[1] Leissa W, Vibrations of Shells [M]. Washington, DC: NASA SP, 1973.
[2] X. M. Zhang, G. R. Liu, K. Y. Lam. Vibration analysis of thin cylindrical shells using Wave Propagation Approach [J], Journal of Sound and Vibration ,2001,239 (3): 397-403.
[3] Xue-bin Li. Study on free vibration analysis of circular cylindrical shells using wave propagation [J], Journal of Sound and Vibration ,2008,311:667-682.
[4] Lin Gan, Xue-bin Li, Zheng Zhang. Free vibration analysis of ring-stiffened cylindrical shells using wave propagation approach [J], Journal of Sound and Vibration, 2009, 326:633-646.
[5] Hai-jun Zhou, Wan-you Li, Bing-lin Lv, W. L. Li. Free vibrations of cylindrical shells with elastic-support boundary conditions [J], Applied Acoustics, 2012, 73:751-756.
[6] Carl Q. Howard, Colin H. Hansen, Jia-qiang Pan. Power transmission from a vibrating body to a circular cylindrical shell through passive and active isolators [J], Journal of Acoustical Society of America, 1997, 101 (3):1479-1491.
[7] 胡浩，李正良，于伟. 带有弹簧－质量－圆柱壳耦合结构自由振动分析[J]. 振动与冲击，2016，35(7)：209-213.
HU Hao, LI Zheng-liang, YU Wei. Free vibration analysis for a spring-mass-cylindrical shell coupled structure [J], Journal of Shock and Vibration, 2016，35(7)：209-213.
[8] 陈晓利，盛美萍. 多加筋圆柱壳体振动特性的导纳法研究[J]. 振动与冲击，2007，26(4)：133-135，157.
CHEN Xiao-li, SHENG Mei-ping. Vibrational characteristics of a multi-beam-stiffened cylindrical shell by mobility analysis [J], Journal of Shock and Vibration, 2007，26(4)：133-135，157.
[9] Young-Shin Lee, Myung-Hwan Choi, Jae-Hoon Kim. Free vibrations of laminated composite cylindrical shells with an interior rectangular plate [J], Journal of Sound and Vibration ,2003,265:795-817.
[10] 周海军，吕秉琳，王东华，李玩幽. 一种改进傅里叶级数方法的船舶轴系回旋振动动态特性研究[J]. 船舶力学，2012, 16(8): 962-970.
ZHOU Hai-jun, LV Bing-lin, WANG Dong-hua, LI Wan-you. Research and analysis of gyroscopic vibration dynamic response of shafting based on an Improved Fourier Series Method [J], Journal of Ship Mechanics, 2012, 16(8): 962-970.
[11] W. L. Li, Hong-an Xu. An Exact Fourier Series Method for the Vibration Analysis of Multi-span Beam Systems [J], Journal of Computational and Nonlinear Dynamics, 2009, 4:0210011-0210019.
[12] 左鹤声. 机械阻抗方法与应用[M]. 北京：机械工业出版社，1987.
ZUO He-sheng. Mechanical impedance method and application[M]. Beijing: Machinery Industry Press, 1987.