成层土场地地震效应的时程算法研究
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摘要
成层土场地是一类常见的建筑场地,覆盖土层的厚度、刚度、地层顺序等是影响地震动特性的主要因素,动力时程方法是分析此类问题的一个有效手段。但常规的动力时程方法计算求解复杂,不仅费时、费力,而且还可能因为算法的不稳定性而无法得到预期的结果。为了获得一种高效简便的动力时程算法,根据地震波在层状弹性介质中的传播原理,采用弹性波叠加方法,提出一种计算成层土场地地震响应的快速时程算法。该方法是一种级数逼近算法,无需剖分网格进行数值法计算,极大地提高了计算效率。应用该算法进行了模型试算,并将计算结果与相关文献进行对比,验证了此算法的正确性。
The overburden thickness, stiffness and the layered sequence are important factors which affect the vibration characteristic of ground motion.The dynamic time-history analysis is one of the useful methods to deal with such problems.However, when the dynamic time-history analysis is used, it will take much time to finish complicated numerical models and calculations.Sometimes it is impossible that any anticipated results can be obtained because of numerical algorithm instability.A fast time-history algorithm is put forward to calculate the layered site response effect according to the principle of seismic wave propagation of the layered elastic medium.As a series analytical approach algorithm, not a numerical method, the algorithm need not solve equations based on discrete network models, thus it can improve the calculative efficiency enormously.Finally, the feasibility and the usability of the algorithm are also proved by some test models.
The overburden thickness, stiffness and the layered sequence are important factors which affect the vibration characteristic of ground motion.The dynamic time-history analysis is one of the useful methods to deal with such problems.However, when the dynamic time-history analysis is used, it will take much time to finish complicated numerical models and calculations.Sometimes it is impossible that any anticipated results can be obtained because of numerical algorithm instability.A fast time-history algorithm is put forward to calculate the layered site response effect according to the principle of seismic wave propagation of the layered elastic medium.As a series analytical approach algorithm, not a numerical method, the algorithm need not solve equations based on discrete network models, thus it can improve the calculative efficiency enormously.Finally, the feasibility and the usability of the algorithm are also proved by some test models.
引文
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[7]陈厚群.坝址地震动输入机制探讨[J].水利学报,2006,37(12):1417-1423.CHEN Hou-qun.Discussion on seismic input mechanism at dam site[J].Journal of Hydraulic Engineering,2006,37(12):1417-1423.
[8]刘晶波,王艳.成层半空间出平面自由波场一维化时域算法[J].力学学报,2006,3(2):19-25.LIU Jing-bo,WANG Yan.A1-D time-domain method for2-D wave motion in elastic layered half-space by antiplane wave oblique incidence[J].Chinese Journal of Theoretical and Applied Mechanics,2006,3(2):19-25.
[9]曹志翔.土层性质对SH波场地放大效应的影响[J].沈阳理工大学学报,2006,25(3):88-91.CAO Zhi-xiang.Influence of properties of soil layer on site amplification effect for SH waves[J].Journal of Shenyang Institute of Technology,2006,3(2):19-25.
[2]石玉成,王兰民,张颖.黄土场地覆盖层厚度和地形条件对地震动放大效应的影响[J].西北地震学报,1999,21(2):203-208.SHI Yu-cheng,WANG Lan-min,ZHANG Ying.Effectsof overburden thickness and topography of loessial sites on earthquake ground motion[J].Northwestern Seismological Journal,1999,21(2):203-208.
[3]冯希杰,金学申.场地土对基岩峰值加速度放大效应分析[J].工程地质学报,2001,9(4):385-388.FENG Xi-jie,JIN Xue-shen.Analysis on amplification effect of bedrock peak acceleration caused by site soil[J].Journal of Engineering Geology,2001,9(4):385-388.
[4]范留明,李宁.软弱夹层的透射模型及其隔震特性研究[J].岩石力学与工程学报,2005,24(14):2456-2462.FAN Liu-ming,LI Ning.Transmission model of weak intercalation and its vibration isolation propereties[J].Chinese Journal of Rock Mechanics and Engineering,2005,24(14):2456-2462.
[5]范留明,闫娜,李宁.薄弹性软弱夹层的动力响应模型[J].岩石力学与工程学报,2006,25(1):88-92.FAN Liu-ming;YAN Na,LI Ning.Dynamic response model for thin soft interlayer considering interbedded reflecting waves[J].Chinese Journal of Rock Mechanics and Engineering,2006,25(1):88-92.
[6]范留明,黄润秋.一次冲击地震动的特性研究[J].地质灾害与环境保护,2000,11(4):341-345.FAN Liu-ming,HUANG Run-qiu.Research on dynamic character of one-off impaction ground motion[J].Journal of Geological Hazards and Environment Preservation,2000,11(4):341-345.
[7]陈厚群.坝址地震动输入机制探讨[J].水利学报,2006,37(12):1417-1423.CHEN Hou-qun.Discussion on seismic input mechanism at dam site[J].Journal of Hydraulic Engineering,2006,37(12):1417-1423.
[8]刘晶波,王艳.成层半空间出平面自由波场一维化时域算法[J].力学学报,2006,3(2):19-25.LIU Jing-bo,WANG Yan.A1-D time-domain method for2-D wave motion in elastic layered half-space by antiplane wave oblique incidence[J].Chinese Journal of Theoretical and Applied Mechanics,2006,3(2):19-25.
[9]曹志翔.土层性质对SH波场地放大效应的影响[J].沈阳理工大学学报,2006,25(3):88-91.CAO Zhi-xiang.Influence of properties of soil layer on site amplification effect for SH waves[J].Journal of Shenyang Institute of Technology,2006,3(2):19-25.
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