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详细研究了部分相干效应对大跨度空间结构随机地震响应的影响,进一步完善大跨度空间结构随机地震响应分析理论。改进了考虑部分相干效应的多点多维随机地震动虚拟激励的构造算法;研究部分相干性矩阵的特点,提出了减少考虑部分相干效应的结构多点多维随机地震响应分析计算量的方法;对比完全相干、部分相干和完全不相干情况的相干性矩阵,分析了部分相干效应对结构随机地震响应的影响规律;数值模拟了某体育馆大型网壳结构在不同相干情况下的随机地震响应。研究表明:在大跨度空间结构的随机地震反应分析中,考虑地震动的部分相干效应后,结构支撑点附近、以拟静力响应为主的部分杆件的随机地震响应会明显增大,而远离支撑点处、以拟动力响应为主的部分杆件的随机地震响应会稍有减小。由此得出结论,在对大跨度空间结构进行随机地震反应分析时,必须考虑地震动的部分相干效应,尤其是以拟静力响应为主的部分杆件对结构抗震设计起控制作用的情况;该文所提出的对地震动虚拟激励构造算法的改进,能够大幅度地减少大跨度空间结构随机地震响应分析的计算量。
The effect of partial coherence effect on the random seismic response of long-span space structures is studied in detail, and the theory of random seismic response of long-span space structures is further improved. This paper improves the construction algorithm of multi-point and multi-dimensional random earthquake virtual stimulus considering partial coherence effect; studies the characteristics of partial coherence matrix and proposes a method to reduce the computational complexity of multi-point and multi-dimensional random seismic response considering the partial coherence effect; Coherent, partially coherent and completely unrelated coherent matrix, the influence of partial coherence on the random seismic response of the structure is analyzed and the random seismic response of a large reticulated shell structure of a gymnasium under different coherent conditions is numerically simulated. The research shows that the random seismic responses of long-span space structures with partial quasi-static response increase obviously when considering the partial coherence effect of the earthquake motion in the vicinity of the structural support points Away from the support point, the pseudo-dynamic response of the part of the random seismic response will be slightly reduced. It is concluded that partial stochastic seismic response must be taken into account in random seismic response analysis of long-span space structures, especially when some of the members with quasi-static response dominate the seismic design of the structure The proposed algorithm for constructing virtual excitation of ground motion proposed in this paper can greatly reduce the computational complexity of random seismic response analysis of long-span space structures.