重庆大学学报2017，Vol.40Issue(6)：60-66,7.DOI:10.11835/j.issn.1000-582X.2017.06.008
板梁耦合振动响应仿真分析
Simulation analysis of vibration response for coupled plate-beam
摘要
Abstract
Coupled plate-beam structure is a typical structure whose vibration performance is in midfrequency.Aiming at the shortcomings of the existing deterministic numerical methods in the prediction of the mid-frequency,we proposed a method to predict the vibration response of coupled plate-beam structure on the basis of wave-based method(WBM).First,based on the vibration response of Kirchhoff plate and Euler-Bernoulli beam,the system matrix of coupled plate-beam structure was deduced by using the weighted residual method using the transversal displacement and the torsional angle between plate and beam as the coupling variable.Then the wave-based mathematical model for coupled plate-beam structure was established.Finally,the coupled structure of rectangular plates with four sides clamped and a slender beam was taken as an example to validate the proposed method.The contour of the coupled structure at 100 Hz and its frequency response from 50-500 Hz show that compared with finite element method (FEM),the wave-based model for coupled plate-beam structure is more efficient in higher frequency range and has higher convergence.At the same computational accuracy,its computational cost (degree of freedom of model and computational time) decreases significantly.关键词
波函数法/薄板/Euler-Bernoulli梁/振动响应Key words
wave based method/thin plate/Euler-Bernoulli beam/vibration response分类
交通工程引用本文复制引用
张黎骅,李怡,夏小均,徐中明..板梁耦合振动响应仿真分析[J].重庆大学学报,2017,40(6):60-66,7.基金项目
中央高校基本科研业务费资助项目(106112016CDJZR335522).Supported by Fundamental Research Funds for the Central Universities (106112016CDJZR335522). （106112016CDJZR335522）
