中文摘要：

针对薄膜结构流固耦合问题,提出一种简化数值模拟方法。该方法的基本思想是,将结构风振响应分为平均响应、背景响应和共振响应三部分,在平均响应部分,主要考虑由于结构形状变化所导致的平均风压系数变化,是一个静态过程;在背景响应部分,主要考虑脉动风压的空间相关性对结构振动的影响,是一个拟静态的过程;在共振响应部分,主要考虑脉动风中的高频部分与结构之间的动力耦合作用。相应地,流固耦合过程分为静态耦合、拟静态耦合和瞬态耦合三部分,针对这三个耦合过程的不同性质,采用不同的求解方法。对于静态耦合和拟静态耦合,可以考虑采用CFD方法模拟由变形引起的结构表面风压变化;对于瞬态耦合部分,可以考虑利用随机振动时程分析的方法来研究。应用上述简化数值模拟方法对单向柔性屋盖和鞍形膜结构屋盖进行分析,并将计算结果与直接的数值模拟方法对比,验证简化数值模拟方法的精确性和高效性。

英文摘要：

A combined numerical approach for the time-dependent wind-structure interaction of membrane structures with large displacements is presented.The general idea is to divide the structural response under wind actions into three components： mean response,background response and resonant response.For the mean response,the coupling effects are mainly induced by the structural average deformation,which will make the mean wind pressure change consequently,and it is a static process.For the background response,the coupling effects are mainly induced by the effect of the spatial correlation of fluctuating wind,and it is a quasi-static process.For the resonant responses,dynamic coupling between the higher frequency parts of fluctuating wind and structure is mainly considered.Accordingly,these three components can be regarded as static interaction,steady interaction and transient interaction,respectively.Due to the different characteristics of each interaction process,different methods should be adopted,respectively.For static and quasi-static interaction,CFD method is adopted to simulate the wind pressure change due to structural deformation;for transient interaction,nonlinear random vibration analysis in time domain is adopted.Based on the combined procedure,numerical examples including one-way type roofs and saddle-shaped membrane structures are carried out.From comparison with direct numerical method,it can be concluded that the results obtained from the combined procedure are very close to the direct numerical method,and that the combined procedure seems easier to use.