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部分相干效应对大跨度空间结构随机地震响应的影响

期刊名称：工程力学, 已录用
时间：0
分类：TU311.3[建筑科学—结构工程]
作者机构：[1]天津大学建筑工程学院,天津300072
相关基金：国家杰出青年科学基金（50425824）;国家自然科学基金项目（50578109）：国家自然科学基金重大研究计划重点项目（90715034）;教育部新世纪优秀人才支持计划项目（NCET-06-0229）
相关项目：大跨度空间结构多维随机地震反应分析与智能控制体系研究

关键词：大跨度空间结构, 随机地震响应, 部分相干效应, 虚拟激励法, 多维地震, 多点输入, long-span spatial structure, random seismic response, partial coherence effect, pseudo excitationmethod, multi-dimensional earthquake, multi-support excitation

中文摘要：

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。

英文摘要：

The influence of partial coherence on random seismic responses of long-span spatial structures is studied. The formation algorithm for the pseudo excitation of the multi-support and multidimensional random earthquake considering the partial coherence effect is improved. The property of the partial coherence matrix is investigated, and an algorithm to increase the computation efficiency for the random seismic analysis considering the partial coherence effect is proposed. The coherence matrices in the cases of coherence, partial coherence and incoherence are compared, and the influence of the partial coherence on the random seismic responses of structures is analyzed. The random seismic responses of a large reticulated shell structure of a gymnasium are numerically simulated for different coherence cases. It is found that, for some members near the ground sunnorts.who behave mainly pseudo-statically, their responses are augmented significantly with the partial coherence effect considered. But for the other members far from the ground supports, who behave mainly pseudo-dynamically, their responses are weakened. Therefore, for the long-span spatial structures, the partial coherence effect of the earthquake must be considered in the random seismic response analysis, especially when those members behaving pseudo-statically govern the seismic design of the structures. The proposed techniques about the formation algorithm of the pseudo excitation of earthquake may increase the computation efficiency for the random seismic analysis of the long-span spatial structures.

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