基于改进涡方法的膜结构流固耦合研究  

Interaction between membrane structures and wind based on modified vortex method

作　　者：丁静鹄[1] 叶继红[1] 

机构地区：[1]东南大学混凝土与预应力混凝土教育部重点实验室,南京210018

出　　处：《振动与冲击》2013年第24期61-69,共9页Journal of Vibration and Shock

基　　金：国家杰出青年科学基金(51125031);江苏省普通高校研究生科研创新计划(CXLX_0130)

摘　　要：采用改进涡方法对膜结构的流固耦合进行模拟。将非协调边界元计算势流的方法引入到传统涡方法中,即为改进涡方法。该算法可以精确计算三维粘性、不可压缩流场。采用改进涡方法可以得到每个时间步膜结构的单元节点流场压力,通过与ansys有限元模型提取出的整体刚度矩阵联合求解得到单元节点位移,并可以由单元节点位移求解出下一时间步的流场分布。由于引入了高效的预处理循环型广义极小残余迭代算法(GMRES),使得边界元法的优势得到了充分发挥,大幅度节省了计算时间。完成了方形平屋盖膜结构气弹模型风洞试验。采用该算法对膜结构流固耦合效应计算得到的位移均值大部分与风洞试验吻合,计算结果表明所提出的方法是模拟膜结构流固耦合问题的有益尝试。Modified vortex method introducing the discontinuous boundary element method into the conventional vortex method was employed to simulate the interaction between membrane structures and wind. Three-dimensional viscosity and incompressible flow fields could be simulated more accurately via this method. The flow field pressures of all element nodes for a membrane structure at each timestep were obtained with the modified vortex method. Combining with the entire stiffness matrix drawn from an ANSYS finite element model, the displacements of element nodes were solved, and further the flow field distribution at the next timestep was calculated. The pre-processing GMRES （the generalized minimum residual） iterative algorithm was also introduced into the present study, and the full advantages of the boundary element method were taken. The wind tunnel vibration tests of a square fiat membrane structure were conducted. The mean values of displacements for interaction between a membrane structure and wind calculated with the modified vortex method agreed well with those of wind tunnel tests. The simulation results showed that the modified vortex method is a useful attempt to simulate interaction between membrane structures and wind

关 键 词：膜结构 改进涡方法 流固耦合 数值模拟 气弹风洞试验 

分 类 号：TU311.3[建筑科学—结构工程]