风与膜结构流固耦合作用强耦合方法的降阶模型研究  

Research on reduced order model of strong coupling method for fluid-solid coupling of wind and membrane structure

作　　者：孙芳锦 徐中豪 SUN Fangjin;XU Zhonghao(Guangxi Key Laboratory of Geomechanics and Geotechnical Engineering,College of Civil Engineering and Architecture,Guilin University of Technology,Guilin 541004,China;College of Civil Engineering,Liaoning Technical University,Fuxin 123000,China)

机构地区：[1]桂林理工大学广西岩土力学与工程重点实验室,土木与建筑工程学院,广西桂林541004 [2]辽宁工程技术大学土木工程学院,辽宁阜新123000

出　　处：《地震工程与工程振动》2019年第4期57-64,共8页Earthquake Engineering and Engineering Dynamics

基　　金：国家自然科学基金项目(51108345);土木工程防灾国家重点实验室开放基金项目(SLDRCE-MB-04);辽宁省教育厅基金一般项目(LJYL030)~~

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。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.

关 键 词：风荷载 膜结构 流固耦合作用 本征正交分解 降阶模型 

分 类 号：TU352[建筑科学—结构工程] TU973