【摘要】 本文提出了一种风与膜结构流固耦合作用强耦合方法的降阶模型,该模型基于本征正交分解法(简称POD),对强耦合整体方程的解进行基模态分解得到一组基向量,再应用Galerkin方法将各控制方程对各基向量进行投影重构,构造基于POD基的降阶模型。将该降阶模型应用于一膜结构与风荷载的流固耦合分析中,得到了强耦合整体方程中未知量残差随POD基向量数量的变化,并对比了降阶前后典型测点位移时程的变化,给出了降阶前后计算效率。研究表明本文提出的降阶模型对于强耦合整体方法是有效的,且节约了大量计算计时。更多还原

【Abstract】 In this paper, a reduced order model for the fluid-solid coupling method of wind-membrane structure is proposed. The model is based on the proper orthogonal decomposition method(POD). The Galerkin method is used to reconstruct each base vector from each control equation, and a reduced order model based on POD is constructed. Applying the model to the fluid-solid coupling analysis of a membrane structure and wind load, the variation of the unknown residual with the number of POD base vectors in the strongly coupled global equation is obtained, and the typical displacement of the measured points is compared. The variation of the process gives the calculation efficiency before and after the reduction. The research shows that the reduced order model proposed in this paper is effective for the strongly coupled holistic method and saves a lot of computational timing.更多还原