基于阻抗综合法的梁-圆柱壳耦合系统动态特性分析

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

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。

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 through 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.