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为把风荷载作用下的复杂结构动力计算转化为静力计算,根据大跨度桥梁结构的自身特点,以结构非约束节点的位移响应为等效目标,基于随机振动理论和结构动力学基本原理,采用耦合抖振分析方法,分别将竖向、水平和扭转方向的位移等效静力风荷载表达为结构振型矩阵、位移响应影响线矩阵、气动频响传递函数矩阵、抖振力功率谱密度矩阵和峰值因子的乘积。结果表明:根据荷载-响应之间的关系,采用该方法计算得到的等效静力风荷载为基于结构位移响应的大跨度桥梁多目标等效静力风荷载,且具有明确的物理意义;以主跨300m的理想薄平板断面简支梁桥为例,验证了该方法的正确性和有效性。
In order to convert the dynamic calculation of complex structure under wind load into static calculation, according to the characteristics of long-span bridge structure and the displacement response of non-constrained nodes as equivalent targets, based on stochastic vibration theory and basic principles of structural dynamics, Coupled chattering analysis method is used to describe displacement equivalent static wind loads in vertical, horizontal and torsional directions respectively as structural mode matrix, displacement response influence matrix, aerodynamic frequency response transfer matrix, and buffeting power spectral density The product of the matrix and the crest factor. The results show that the equivalent static wind load calculated by this method is the multi-objective equivalent static wind load of long-span bridge based on the structural displacement response, and has definite physical meaning. According to the relationship between load and response, The ideal thin slab section simply supported girder bridge with 300 m main span as an example verifies the correctness and effectiveness of this method.