板梁耦合振动响应仿真分析

发布时间：2018-03-06 16:35

本文选题：波函数法　切入点：薄板　出处：《重庆大学学报》2017年06期 　论文类型：期刊论文

【摘要】：板梁耦合结构是典型的中频振动结构。针对现有的确定性数值分析方法在中频预测的不足,基于波函数法(WBM)理论提出了预测板梁耦合结构的振动响应方法。在Kirchhoff薄板与Euler-Bernoulli梁振动响应基础上,以振动位移与转角为耦合量,运用加权余量法推导了板梁耦合结构的系统矩阵,建立了板梁耦合结构的波函数法模型。以四边固支的矩形板与细长梁耦合结构为例进行了验证,其100Hz时的振动响应位移云图与50~500Hz频响结果表明,相较于有限元(FEM)模型,基于波函数法的板梁耦合结构振动响应模型能有效预测更高频率的振动响应,且该模型有着更高的收敛性,在相同计算精度下,计算成本(模型自由度与计算时间)降低明显。
[Abstract]:The plate beam coupling structure is a typical intermediate frequency vibration structure. In view of the shortcomings of the existing deterministic numerical analysis methods in intermediate frequency prediction, Based on the theory of wave function method (WBM), a method for predicting the vibration response of a plate-beam coupled structure is proposed. On the basis of the vibration response of a Kirchhoff thin plate and a Euler-Bernoulli beam, the vibration displacement and the rotation angle are taken as coupling quantities. The system matrix of slab-beam coupling structure is derived by using weighted residual method, and the wave function model of slab-beam coupling structure is established. The results of vibration response displacement cloud and 50 ~ 500Hz frequency response show that compared with the finite element model, the vibration response model based on wave function method can effectively predict the higher frequency vibration response of plate and beam coupling structure. The model has higher convergence, and the computational cost (degree of freedom and computing time) is obviously reduced under the same calculation precision.
【作者单位】：四川农业大学机电学院;重庆大学汽车工程学院;
【基金】：中央高校基本科研业务费资助项目(106112016CDJZR335522)~~
【分类号】：O327

【相似文献】