超长大跨结构考虑地震输入空间变化效应的响应特征
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摘要
基于多点随机地震动场模型推导了包含三向正交地震动分量联合输入的多维多点随机地震动场模型,并将虚拟激励法推广应用于考虑行波效应、部分相干效应和局部场地效应联合作用的情况,推导了相应的计算公式;系统分析了考虑地震输入空间变化效应时超长网壳的响应特征.结果表明,地震地面运动的空间变化效应对结构的响应有着较明显的影响.同时,计算还表明虚拟激励法对于分析大跨结构在多维多点输入下的地震响应是一种高效且精确的方法.
According to multi-support stochastic earthquake ground motion model,a three-dimensional earthquake and multi-support stochastic earthquake ground motion model was established.Then based on the pseudo excitation method (PEM),a random vibration methodology was formulated for the seismic analysis of multi-supported structures subjected to spatially varying ground motions.The ground motion spatial variability consisted of traveling-wave effect,incoherence effect and local site effect.The seismic response of a super long latticed roof was analyzed in detail.It shows that all these effects have significant influence on the seismic response of the structure.On the other hand,it shows the pseudo excitation method is efficient and precise and is applicable to the random seismic response analysis of the long-span structure under multi- dimensional and multi-support excitation.
According to multi-support stochastic earthquake ground motion model,a three-dimensional earthquake and multi-support stochastic earthquake ground motion model was established.Then based on the pseudo excitation method (PEM),a random vibration methodology was formulated for the seismic analysis of multi-supported structures subjected to spatially varying ground motions.The ground motion spatial variability consisted of traveling-wave effect,incoherence effect and local site effect.The seismic response of a super long latticed roof was analyzed in detail.It shows that all these effects have significant influence on the seismic response of the structure.On the other hand,it shows the pseudo excitation method is efficient and precise and is applicable to the random seismic response analysis of the long-span structure under multi- dimensional and multi-support excitation.
引文
[1]林家浩．随机地震响应的确定性算法[J]．地震工程与工程振动，1985，5(1)：89-93．LIN Jia-hao.A fast algorithm for power spectra of random seismic responses[J].Earthquake Engineering and Engineering Vibration,1985,5(1):89-93.(in Chinese)
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[4]薛素铎，王雪生，曹资．空间网格结构多维多点随机地震响应分析的高效算法[J]．世界地震工程，2004，20(3)：43- 49．XUE Su-duo,WANG Xue-sheng,CAO Zi.An efficient algorithm for multi-dimensional and multi-support random seismic analysis of spatial reticulated structures[J].World Earthquake Engineering,2004,20(3):43-49.(in Chinese)
[5]林家浩，张亚辉．随机振动的虚拟激励法[M]．北京：科学出版社，2004：5-10．
[6]林家浩，张亚辉，赵岩．大跨度结构抗震分析方法及近期进展[J]．力学进展，2001，31(3)：350-359．LIN Jia-hao,ZHANG Ya-hui,ZHAO Yan.Seismic analysis methods of long-span structures and recent advances [J]. Advances in Mechanics,2001,31(3):350-359.(in Chinese)
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[8]曹资，薛素铎．空间结构抗震理论与设计[M]．北京：科学出版社，2005：120-122．
[9]屈铁军，王君杰，王前信．空间变化的地震动功率谱的实用模型[J]．地震学报，1996，18(1)：55-62．QU Tie-jun,WANG Jun-jie,WANG Qian-xin.Power spectral density model of ground motion considering its spatial variability effects[J].Acta Seismologica Sinica,1996,18(1):55-62.
[2]林家浩．随机地震响应功率谱快速算法[J]．地震工程与工程振动，1990，10(4)：38-46．LIN Jia-hao.A deterministic method for the computation of stochastic earthquake response[J].Earthquake Engineering and Engineering Vibration,1990,10(4):38-46.(in Chinese)
[3]XUE S D,CAO Z,WANG X S.Random vibration study of structures under multi-component seismic excitation [J]. Advances in Structural Engineering,2002,5(3):185-192.
[4]薛素铎，王雪生，曹资．空间网格结构多维多点随机地震响应分析的高效算法[J]．世界地震工程，2004，20(3)：43- 49．XUE Su-duo,WANG Xue-sheng,CAO Zi.An efficient algorithm for multi-dimensional and multi-support random seismic analysis of spatial reticulated structures[J].World Earthquake Engineering,2004,20(3):43-49.(in Chinese)
[5]林家浩，张亚辉．随机振动的虚拟激励法[M]．北京：科学出版社，2004：5-10．
[6]林家浩，张亚辉，赵岩．大跨度结构抗震分析方法及近期进展[J]．力学进展，2001，31(3)：350-359．LIN Jia-hao,ZHANG Ya-hui,ZHAO Yan.Seismic analysis methods of long-span structures and recent advances [J]. Advances in Mechanics,2001,31(3):350-359.(in Chinese)
[7]潘云．考虑地震输入空间变化效应的大跨网壳结构随机响应分析[D]．北京：北京工业大学建筑工程学院，2008．PAN Yun.Random response analysis of long-span lattice steel structure considering earthquake input spatial varibility effects [D].Beijing:The College Architecture and Civil Engineering,Beijing University of Technology,2008,(in Chinese)
[8]曹资，薛素铎．空间结构抗震理论与设计[M]．北京：科学出版社，2005：120-122．
[9]屈铁军，王君杰，王前信．空间变化的地震动功率谱的实用模型[J]．地震学报，1996，18(1)：55-62．QU Tie-jun,WANG Jun-jie,WANG Qian-xin.Power spectral density model of ground motion considering its spatial variability effects[J].Acta Seismologica Sinica,1996,18(1):55-62.
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