SH波作用下层状土层随机波动分析
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摘要
提出了SH波作用下层状土层地震反应分析的随机波动分析方法。在这一方法中,将波动理论和随机振动理论结合起来,求解波动方程和土层地震反应的统计参数,可以准确而又方便地综合考虑地震波斜入射及基岩弹性刚度对土层地震反应的影响。随后进一步通过算例分析,讨论了基岩弹性刚度及SH波入射角度对半空间上均匀土层地震反应的影响及其规律,为工程中进行复杂土层的地震反应分析提供参考。
A new analysis technique,called random wave analysis method,is developed for the random seismic response analysis of layered soil sites under SH wave excitation.In this method,the random vibration analysis method is combined with wave theory to solve the wave equation and to obtain the seismic responses of the layered soil sites.The effects of incident angle of SH wave and elastic rock on the seismic responses of layered soil sites are considered accurately and conveniently.The influences of elastic stiffness of rock and incident angle of SH wave on the seismic responses of homogeneous soil layer on half-space are discussed through numerical results of several examples.The conclusions reached in this paper can be used as reference for seismic responses analysis of complicated soil sites in engineering practice.
A new analysis technique,called random wave analysis method,is developed for the random seismic response analysis of layered soil sites under SH wave excitation.In this method,the random vibration analysis method is combined with wave theory to solve the wave equation and to obtain the seismic responses of the layered soil sites.The effects of incident angle of SH wave and elastic rock on the seismic responses of layered soil sites are considered accurately and conveniently.The influences of elastic stiffness of rock and incident angle of SH wave on the seismic responses of homogeneous soil layer on half-space are discussed through numerical results of several examples.The conclusions reached in this paper can be used as reference for seismic responses analysis of complicated soil sites in engineering practice.
引文
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[2]赵崇斌,张楚汉,王光纶,张光斗.用无穷元研究土层特性对场地地震反应的影响[J].水利水运科学研究,1988,(1):31~45.Zhao Chongbin,Zhang Chuhan,Wang Guanglun,Zhang Guangdou.Analysis of effects of the soil layer characteristics on field seismic response using infinite elements[J].Hydro-science and Engineering,1988,(1):31~45.(in Chinese)
[3]林皋,关飞.用边界元法研究地震波在不规则地形处的散射问题[J].大连理工大学学报,1990,30(2):145~152.Lin Gao,Guan Fei.Scattering of seismic waves at irregular topographies by boundary element method[J].Journal of Dalian University of Technology,1990,30(2):145~152.(in Chinese)
[4]Song Ch,Wolf J P.Consistent infinitesimal finite-element cell method:three dimensional vector wave equation[J].International Journal for Numerical Methods in Engineering,1996,39:2189~2208.
[5]Wolf J P.Response of unbounded soil in scaled boundary finite-element method[J].Earthquake Engineering and Structural Dynamics,2002,31:15~32.
[6]曾心传,秦小军.土层对地震的随机反应分析[J].地震工程与工程振动,1998,18(3):27~39.Zeng Xinchuan,Qin Xiaojun.Analysis of random response of soil layer to earthquake[J].Earthquake Engineering and Engineering Vibration,1998,18(3):27~39.(In Chinese)
[7]吴再光,林皋,韩国成.水平成层地基非平稳随机地震反应分析[J].土木工程学报,1992,25(3):60~67.Wu Zaiguang,Lin Gao,Han Guocheng.Nonstationary stochastic seismic response analysis of horizontal layered foundations[J].China Civil Engineering Journal,1992,25(3):60~67.(in Chinese)
[8]Wolf J P.Dynamic soil-structure interaction[M].Englewood Cliffs,Inc.,Pretice-Hall,New Jersey,1985.
[9]栾茂田,林皋.场地地震反应非线性分析的有效时域算法[J].大连理工大学学报,1994,34(2):228~234.Luan Maotian,Lin Gao.An effective time-domain computational method for nonlinear seismic response analysis of soil deposit[J].Journal of Dalian University of Technology,1994,34(2):228~234.(in Chinese)
[10]朱位秋.随机振动[M].北京:科学出版社,1998.Zhu Weiqiu.Random vibrations[M].Beijing:Science Press,1998.(in Chinese)
[11]胡聿贤.地震工程学[M].北京:地震出版社,1988.Hu Yuxian.Earthquake Engineering[M].Beijing:Earthquake Press,1988.(in Chinese)