大跨悬索桥多维多点非平稳随机地震响应分析
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摘要
以湖北四渡河大跨悬索桥为工程背景,建立了悬索桥精细有限元模型,采用多维多点非平稳随机地震响应分析方法,数值仿真了该桥在单维与三维非平稳随机地震动的一致激励、行波效应、部分相干效应、部分相干+行波效应以及多点激励下的地震响应,分析了多维多点地震激励下视波速及地震非平稳性对结构随机地震响应的影响.研究结果表明:考虑地震动的空间效应对悬索桥结构响应有很大影响,地震动的行波效应对结构响应的影响比部分相干效应的影响大的多;三维地震作用下的结构响应比单维地震的作用明显增加;随着视波速的增大,行波效应对结构响应的影响减弱;按照平稳地震激励所作的随机地震响应分析,计算结果是偏安全的.
Take a long-span suspension bridge across Sidu river as an engineering background,a precise finite element model of suspension bridges was established.The seismic response of the suspension bridge subject to the uniform excitation,traveling-wave effect,partial coherence effect,combination effect of traveling waves and partial coherence effects and multi-support excitations under one-dimensional and three-dimensional non-stationary random seismic ground motions were numerically simulated by a method for seismic analysis of the multi-support excitations under the three-dimensional non-stationary random seismic ground motions.The effect of apparent wave velocities and seismic non-stationarity on random seismic responses of structures is analyzed under multi-support and multi-dimensional seismic excitations.The results show that the spatial variation of seismic motions has a great influence on the structure seismic response.The influence of traveling wave effects is much larger than that of partial coherence effect on the structure seismic response.The structure seismic response under three-dimensional seismic excitations is greater than that under one-dimensional excitations.The effect of traveling waves on structure seismic response becomes weak with the apparent wave velocity increasing.The random seismic response analysis is secure when the stationarity of seismic ground motion is considered.
Take a long-span suspension bridge across Sidu river as an engineering background,a precise finite element model of suspension bridges was established.The seismic response of the suspension bridge subject to the uniform excitation,traveling-wave effect,partial coherence effect,combination effect of traveling waves and partial coherence effects and multi-support excitations under one-dimensional and three-dimensional non-stationary random seismic ground motions were numerically simulated by a method for seismic analysis of the multi-support excitations under the three-dimensional non-stationary random seismic ground motions.The effect of apparent wave velocities and seismic non-stationarity on random seismic responses of structures is analyzed under multi-support and multi-dimensional seismic excitations.The results show that the spatial variation of seismic motions has a great influence on the structure seismic response.The influence of traveling wave effects is much larger than that of partial coherence effect on the structure seismic response.The structure seismic response under three-dimensional seismic excitations is greater than that under one-dimensional excitations.The effect of traveling waves on structure seismic response becomes weak with the apparent wave velocity increasing.The random seismic response analysis is secure when the stationarity of seismic ground motion is considered.
引文
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[2]Aspasia Z,Vassilios Z.Spatial variation of seismic ground motions:An overview[J].Applied Mechanics Reviews,2002,55(3):271-297.
[3]焦常科,李爱群,操礼林.三塔悬索桥行波效应研究[J].土木工程学报,2010,43(12):100-106.
[4]刘春城,张哲,石磊.多支承激励下自锚式悬索桥空间地震反应分析[J].哈尔滨工业大学学报,2004,36(11):1568-1570.
[5]龙晓鸿,陈恩友,李黎.山区大跨悬索桥考虑空间变异性的地震响应[J].工程力学,2009,26(Sup.I):130-133.
[6]Abdel-Ghaffar A M,Rubin L I.Suspension bridge response to multiple-support excitations[J].Journal of theEngineering Mechanics Division,1982,108(2):419-435.
[7]Abdel-Ghaffar A M,Rubin L I.Lateral earthquake response of suspension bridge[J].Journal of Structural En-gineering,1983,109(3):664-675.
[8]RassemM,Ghobarah A,HeidebrechtA C.Site effects on the seismic response of a suspension bridge[J].Engi-neering Structures,1996,18(5):363-370.
[9]Hyun C H,Yun C B,Lee D G.Nonstationary response analysis of suspension bridges for multiple support excita-tions[J].Probabilistic Engineering Mechanics,1992,7(1):27-35.
[10]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.
[11]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.
[12]赵凤新,刘爱文.地震动功率谱与反应谱的转换关系[J].地震工程与工程振动,2001,21(2):30-35.
[13]Li Q S,Zhang Y H,Wu J R.Seismic random vibration analysis of tall buildings[J].Engineering Structures,2004,26(12):1767-1778.
[14]Clough R W,Penzien J.Dynamics of structures[M].New York:McGraw-Hill,Inc,1993.
[15]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.
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