多点演变随机激励下连续刚构桥地震响应
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摘要
考虑行波效应,研究某大跨度连续刚构桥在多点非均匀调制演变随机地震激励下的响应。采用Priestley提出的非均匀调制演变随机过程来描述地面运动的双重非平稳随机场特性,即考虑地面随机激励强度非平稳的同时,又考虑其频率的非平稳。演变随机激励下结构地震响应的计算,采用高效精确的虚拟激励法。对不同的地震波视波速,分别计算桥梁在纵桥向、横桥向和竖向地震动输入下的响应,以及三向地震动同时输入下的响应。结果表明,地震动的行波效应对大跨度桥梁结构地震响应有较大影响;若忽略地震动的空间效应,一些情况下会带来偏于不安全的分析结果。
Seismic behavior of a long-span continuous rigid-framed bridge under multi-support earthquake excitations was studied,with traveling wave effects of ground motion considered.The earthquake excitations were regarded as nonuniformly modulated evolutionary random processes and Priestley's mathematical model was adopted.Priestley's model takes into account the non-stationary characteristics not only of the excitation intensity,but also of the excitation frequency components.The relevant computation of long-span structures subjected to non-uniformly modulated evolutionary random excitations was solved by using pseudo excitation method,which is an accurate and very efficient way for stochastic vibration analysis of structures.Seismic waves were assumed to spread along the longitudinal bridge,and different seismic apparent wave velocity was investigated.Seismic responses of the bridge under the longitudinal,transverse and vertical ground motion inputs were simulated respectively.Simulation results show that it's necessary to consider the spatially varying effects of ground motions in the seismic analysis of long-span continuous rigid-framed bridges.If the spatially varying effects of ground motions are neglected,in some cases it may lead to unsafe seismic design.
Seismic behavior of a long-span continuous rigid-framed bridge under multi-support earthquake excitations was studied,with traveling wave effects of ground motion considered.The earthquake excitations were regarded as nonuniformly modulated evolutionary random processes and Priestley's mathematical model was adopted.Priestley's model takes into account the non-stationary characteristics not only of the excitation intensity,but also of the excitation frequency components.The relevant computation of long-span structures subjected to non-uniformly modulated evolutionary random excitations was solved by using pseudo excitation method,which is an accurate and very efficient way for stochastic vibration analysis of structures.Seismic waves were assumed to spread along the longitudinal bridge,and different seismic apparent wave velocity was investigated.Seismic responses of the bridge under the longitudinal,transverse and vertical ground motion inputs were simulated respectively.Simulation results show that it's necessary to consider the spatially varying effects of ground motions in the seismic analysis of long-span continuous rigid-framed bridges.If the spatially varying effects of ground motions are neglected,in some cases it may lead to unsafe seismic design.
引文
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[10]Priestley M B.Power spectral analysis of nonstationary random processes[J].Journal of Sound and Vibration,1967,6(1):86-97
[11]林家浩,张亚辉,孙东科,等.受非均匀调制演变随机激励结构响应快速精确计算[J].计算力学学报,1997,14(1):2-8(Lin Jiahao,Zhang Yahui,Sun Dongke,et al.Fast and precise computation of structural responses to nonuniformly modulated evolutionary random excitations[J].Chinese Journal of Computational Mechanics,1997,14(1):2-8(in Chinease))
[12]林家浩,沈为平,宋华茂,等.结构非平稳随机响应的混合型精细时程积分[J].振动工程学报,1995,8(2):127-135(Lin Jiahao,Shen Weiping,Song Huamao,et al.High-precision integration of mixed type for analysis of nonstationary random responses[J].Journal of Vibration Engineering,1995,8(2):127-135(in Chinease))
[13]谭述君,钟万勰.非齐次动力方程Duhamel项的精细积分[J].力学学报,2007,39(3):374-381(Tan Shujun,Zhong Wanxie.Precise integration method for duhamel terms arising from non-homogenous dynamic systems[J].Chinese Journal of Theoretical and Applied Mechanics,2007,39(3):374-381(in Chinease))
[2]高玉峰,蒲黔辉,李晓斌.大跨长联预应力混凝土连续梁桥地震反应分析[J].工程抗震与加固改造,2009,31(2):21-25(Gao Yufeng,Pu Qianhui,Li Xiaobin.Seismic response analysis of PC continuous beam bridge with large spans[J].Earthquake Resistant Engineering and Retrofitting,2009,31(2):21-25(in Chinease))
[3]刘红绪,张吉刚.汉江特大桥地震反应分析[J].工程抗震与加固改造,2007,29(2):80-83(Liu Hongxu,Zhang Jigang.Seismic response analysis of Hanjiang bridge[J].Earthquake Resistant Engineering and Retrofitting,2007,29(2):80-83(in Chinease))
[4]王浩,李爱群,乔建东.不同激励下大跨度CFST拱桥地震反应时程分析[J].工程抗震与加固改造,2006,28(4):68-71(Wang Hao,Li Aiqun,Qiao Jiandong.Timehistory analysis on seismic response of long-span CFST arch bridge under different excitations[J].Earthquake Resistant Engineering and Retrofitting,2006,28(4):68-71(in Chinease))
[5]刘春城,石磊.自锚式悬索桥的平稳/非平稳随机地震响应[J].工程力学,2007,24(5):114-118(Liu Chuncheng,Shi Lei.Seismic responses of self-anchored suspension bridge under stationary and non-stationary random excitations[J].Engineering Mechanics,2007,24(5):114-118(in Chinease))
[6]赵灿晖,周志祥.大跨度钢管混凝土拱桥在多维多点地震激励作用下的平稳随机响应[J].世界地震工程,2007(4):66-71(Zhao Canhui,Zhou Zhixiang.Stationary stochastic response of long-span CSFT arch bridge under the multi-component and multi-support seismic excitation[J].World Earthquake Engineering,2007(4):66-71(in Chinease))
[7]武芳文,薛成凤,赵雷.超大跨度斜拉桥考虑行波效应的地震动随机响应研究[J].地震学报,2010(2):193-202(Wu Fangwen,Xue Chengfeng,Zhao Lei.Stochastic seismic response of super-long-span cable-stayed bridges under excitation of traveling waves[J].Acta Seismologica Sinica,2010(2):193-202(in Chinease))
[8]赵岩,林家浩,唐光武.行波效应下结构非平稳随机地震峰值响应分析[J].力学季刊,2004,25(2):201-207(Zhao Yan,Lin Jiahao,Tang Guangwu.Peak-value responses of structures subjected to non-stationary differential random ground excitations[J].Chinese Quarterly of Mechanics,2004,25(2):201-207(in Chinease))
[9]张亚辉,林家浩.多点非均匀调制演变随机激励下结构地震响应[J].力学学报,2001,33(1):87-95(Zhang Yahui,Lin Jiahao.Seismic responses of structures subjected to non-uniformly modulated differential evolutionary random excitations[J].Acta Mechanica Sinica,2001,33(1):87-95(in Chinease))
[10]Priestley M B.Power spectral analysis of nonstationary random processes[J].Journal of Sound and Vibration,1967,6(1):86-97
[11]林家浩,张亚辉,孙东科,等.受非均匀调制演变随机激励结构响应快速精确计算[J].计算力学学报,1997,14(1):2-8(Lin Jiahao,Zhang Yahui,Sun Dongke,et al.Fast and precise computation of structural responses to nonuniformly modulated evolutionary random excitations[J].Chinese Journal of Computational Mechanics,1997,14(1):2-8(in Chinease))
[12]林家浩,沈为平,宋华茂,等.结构非平稳随机响应的混合型精细时程积分[J].振动工程学报,1995,8(2):127-135(Lin Jiahao,Shen Weiping,Song Huamao,et al.High-precision integration of mixed type for analysis of nonstationary random responses[J].Journal of Vibration Engineering,1995,8(2):127-135(in Chinease))
[13]谭述君,钟万勰.非齐次动力方程Duhamel项的精细积分[J].力学学报,2007,39(3):374-381(Tan Shujun,Zhong Wanxie.Precise integration method for duhamel terms arising from non-homogenous dynamic systems[J].Chinese Journal of Theoretical and Applied Mechanics,2007,39(3):374-381(in Chinease))
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