流固耦合作用下膜结构振动频率研究  

Research on vibration frequency of membrane structure considering fluid and structure interaction

作　　者：潘毅[1,2] 饶明航 周祎[1] 王双旭 林拥军[1] PAN Yi;RAO Minghang;ZHOU Yi;WANG Shuangxu;LIN Yongjun(School of Civil Engineering,Southwest Jiaotong University,Chengdu 610031,China;Key Laboratory of Seismic Engineering of Sichuan Province,Southwest Jiaotong University,Chengdu 610031,China)

机构地区：[1]西南交通大学土木工程学院,四川成都610031 [2]西南交通大学抗震工程技术四川省重点实验室,四川成都610031

出　　处：《建筑结构学报》2019年第8期136-144,共9页Journal of Building Structures

基　　金：国家重点研发计划(2016YFC0802205);国家自然科学基金项目(51608453);四川省科技计划资助项目(2019YJ0222)

摘　　要：膜结构由于自身的特殊性,其流固耦合作用较为明显.考虑到流固耦合问题的复杂性,采用简化气弹模型对其进行简化计算,并对薄膜在静风和来流风作用下的振动频率进行数值分析研究.对于开敞式薄膜结构,以升力面理论为基础,通过涡格法近似求解开敞式薄膜的振动频率;对于封闭式薄膜结构,基于势流理论建立空气与结构相互耦合的动力平衡方程,通过边界元与有限元方法求解封闭式薄膜结构振动频率.采用上述方法的计算结果与已有试验结果对比表明:所采用的分析方法适合于膜结构振动频率分析.通过对开敞式和封闭式薄膜在来流风下的振动频率特性进行研究可知,附加质量是影响薄膜结构振动频率的主要因素,附加质量随风速增大而增大,从而导致振动频率下降;封闭式薄膜的附加质量大于开敞式薄膜的附加质量,而开敞式薄膜的振动频率却没有比封闭式的大,这说明气承刚度对封闭式薄膜振动频率的影响不可忽视.The fluid and structure interaction of membrane structures is relatively obvious because of its structural particularity. Considering the complexity of the fluid and solid interaction,a simplified aeroelastic model was used to simplify the process. Based on the simplified aeroelastic model,the vibration frequencies of membrane structure under static and dynamic wind loads were numerically analyzed. For open membrane structures,on the basis of the liftingsurface theory, the vibration frequency was approximately calculated by the vortex lattice method. For closed membrane structures,potential flow theory was applied to establish the dynamic equilibrium equation and analyze the interaction between air and structure. The vibration frequency of closed membrane structure was solved by boundary element method and finite element method. The comparison between the calculated results and the experimental results shows that the analysis methods are suitable for the vibration frequency analysis of membrane structures. The characteristics of vibration frequency of open membrane structure and closed membrane structure under dynamic wind load were studied. It can be concluded that added mass is the main impact factor of the vibration frequency of membrane structures. The added mass increases with the wind speed,which leads to the decrease of vibration frequency. As the influence of the aeroelastic stiffness on the vibration frequency of the closed membranes structure,the added mass of the closed membrane is larger than that of the open membrane structure,but the vibration frequency of the open membrane structure is not larger than that of the closed membrane structure.

关 键 词：膜结构 简化气弹模型 升力面理论 边界元法 振动频率 

分 类 号：TU38[建筑科学—结构工程] TU311.4