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行波效应对大跨度空间结构随机地震响应的影响

期刊名称：地震工程与工程振动, 28卷1期: 24-31页, 2008年2月
时间：0
分类：P315.96[天文地球—地震学;天文地球—固体地球物理学;天文地球—地球物理学] TU311[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, [2]天津市土木工程结构及新材料重点实验室,天津300072
相关基金：国家杰出青年科学基金（50425824）;国家自然科学基金面上项目（50578109）和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（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, 行波效应, 多点输入, 虚拟激励法, long-span spatial structure, random seismic response, wave travelling effect, multi-input excitation, pseudo-excitation method

中文摘要：

深入研究了行波效应对大跨度空间结构随机地震响应的影响，进一步完善了大跨度空间结构随机地震响应分析理论。推导了双支座、单自由度体系地震响应功率谱密度函数的解析表达式，研究了不同频率体系的响应峰值随地面视波速的变化规律，分析了多支撑点、多自由度体系的地震响应功率谱矩阵的特点，发现多自由度体系地震响应随地面视波速的变化规律与单自由度体系相似。数值模拟了某体育馆网壳结构在不同地面视波速情况下的随机地震响应，结果表明，考虑地震动行波效应后，结构地震响应随地面视波速的变化而显著变化，当视波速较低时其变化规律很复杂；且支撑点附近、受拟静力位移影响较大的部分杆件的地震响应明显增大，远离支撑点处、受拟静力位移影响较小的部分杆件的地震响应稍有减小。由此得出结论，对于大跨度空间结构的随机地震响应分析，必须考虑地震动的行波效应，尤其当受拟静力位移影响较大的部分杆件对结构抗震设计起控制作用时；且应对可能出现的地面视波速进行全面分析，作为结构抗震设计依据。

英文摘要：

The influence of wave travelling effect on random seismic responses of long-span spatial structures is studied in detail, which may further complete the theory of random seismic analysis for long-span spatial structures. The analytical expression of the power spectrum density functions of seismic responses of an SDOF system with two supports is derived. The variation law of the peak response of the system with different frequencies with the ground apparent wave velocity is investigated. The characteristic of the power spectrum density matrix of seismic responses of an MDOF system with multiple supports is analyzed. It is found that the variation law of the seismic responses of the MDOF system with ground apparent wave velocities is similar to that of the SDOF system. The random seismic responses of the reticulated shell structure of a gymnasium at different ground apparent wave velocities are numerically simulated. The results show that when considering the wave travelling effect of ground motion, the seismic responses vary significantly with the variation of the ground apparent wave velocities, and the variation law is very complicated when the apparent wave velocity is low. The seismic responses of the members near the supports more influenced by the pseudo-static displacements are obviously increased. And the seismic responses of the members far from the supports less influenced by the pseudo-static displacements are slightly reduced. Some conclusions are drawn that the wave travelling effect of the ground motion must be considered for the random seismic response analysis of the long-span spatial structures, especially when the members mainly affected by the pseudo-static displacements control the seismic design of the structures. The comprehensive analysis should be performed for possible apparent wave velocities as the reference for seismic design of the structures.

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