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大跨屋盖风振响应中的多振型参与特性,及由此导致的多目标等效静风荷载问题,一直是大跨屋盖结构风工程研究和工程应用十分关注的问题。对作者及合作者近年来在该方面的研究工作所取得的进展进行了总结,并加以发展。利用POD分解得到本征模态表达的脉动风荷载空间分布形式,确定与荷载分布形式对应的Ritz向量,即主导模态;推导脉动风响应中背景响应和共振响应的数学表达式,给出背景响应与共振响应间的相关性分析方法;根据结构风振响应特性,以风荷载主要本征模态和结构主导振型惯性力构造多目标等效静风荷载的基本向量,利用最小二乘法得到基本向量的最优组合系数,从而得到针对多个等效目标的等效静风荷载。并通过对跨度40 m的K6型单层球面网壳结构的计算验证本文方法的有效性和准确性。
The multi-mode participation in the wind-induced response of long-span roof and the multi-objective equivalent static wind load caused by it are always concerned by the wind engineering research and engineering applications of long-span roof structures. In recent years, the progress made by the authors and collaborators in their research work has been summarized and developed. The POD decomposition is used to obtain the spatial distribution of the pulsating wind load expressed by the eigenmode and the Ritz vector corresponding to the load distribution form, ie, the dominant mode. The mathematical expression of the background response and the resonance response of the pulsating wind response is deduced, and the background Response and resonance response; According to the structure wind-induced response characteristics, the basic vector of multi-objective equivalent static wind load is constructed based on the main eigenstates of the wind load and the dominant-mode inertia of the structure, and the least square method is used The optimal combination coefficient of basic vector to obtain equivalent static wind load for multiple equivalent targets. The validity and accuracy of the proposed method are verified by the calculation of the K6 single-layer spherical reticulated shell with a span of 40 m.