基于混合方法的随机板-梁结构动力响应特性数值研究

Numerical research on the dynamic response of plate-beam structure with randomicity based on the hybrid method

依据有限元统计分析方法的基本理论,构建了具有随机性的板-梁结构FE模型.采用蒙特卡洛FE方法计算模型的总体平均响应.同时,采用混合方法构建结构的FE-SEA混合模型,计算组合结构中各子结构的动力响应.并将混合法计算的响应结果与蒙特卡洛有限元法计算的总体平均响应结果做对比.结果表明:FE-SEA混合方法改变了FE法对模型大量节点自由度的需要,减小了模型尺寸,降低计算量,提高了随机结构动力响应的计算精度.这为实际工程应用提供了一种准确、高效且更符合实际结构响应的分析方法.

In the present work the basic theory of hybrid finite element-statistical energy analysis （FE-SEA） method was first described, and the FE model of the plate-beam structure with randomicity was considered. Then the ensemble average dynamic response results of FE model was calculate based on the Monte Carlo Finite element method. Tthe hybrid FE-SEA model of structure is built up and the subsystem dynamic response of hybrid model is calculated. Finally, we compare the dynamic response results obtained by the two different methods. The result shows that the hybrid FE-SEA method can reduce the excessive demands of FE method for a large number of DOFs. In addition, this method can reduce the model size and the amount of computation, which provide an accurate and efficient practical application with randomicity.