P、SV波作用下层状土层随机波动分析
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摘要
提出了P、SV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。文中进一步通过算例分析,探讨了P、SV波的入射角度、土层厚度以及基岩和土层间的剪切波速比等因素对土层随机地震反应的影响。
A random wave-theory analysis method is developed for the random seismic response analysis of layered soil sites under the P-and SV-wave excitations.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 wave and elastic rock on the seismic responses of layered soil sites are considered precisely and conveniently.The influences of angle of incidence of P-and SV-wave,depth of layered soil,ratio of shear-wave velocities between rock and soil on the seismic responses of homogeneous soil layer on half-space are discussed through numerical results of several examples.
A random wave-theory analysis method is developed for the random seismic response analysis of layered soil sites under the P-and SV-wave excitations.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 wave and elastic rock on the seismic responses of layered soil sites are considered precisely and conveniently.The influences of angle of incidence of P-and SV-wave,depth of layered soil,ratio of shear-wave velocities between rock and soil on the seismic responses of homogeneous soil layer on half-space are discussed through numerical results of several examples.
引文
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[2]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)
[3]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.Effects of the characteristics of soil layers on field seismic response by using infinite element[J].Hydro-science and Engineering,1988,(1):31~45.(in Chinese)
[4]李宏男.结构多维抗震理论与设计方法[M].北京:科学出版社,1998.Li Hongnan.Theoretical analysis and design of structures against multiple earthquake excitations[M].Beijing:Science Press,1998.(in Chinese)
[5]廖振鹏.工程波动理论导引[M].北京:科学出版社,2002.Liao Zhenpeng.Introduction to wave motion theories in engineering[M].Beijing:Science Press,2002.(in Chinese)
[6]Kiureghian A D,Neuenhofer A.Response spectrum method for multi-support seismic excitations[J].Earthquake Engineering and Structural Dynamics,1992,21:713~740.
[7]Harichandran R S,Vanmarcke E H.Stochastic variation of earthquake ground motion in space and time[J].Journal of Engineering Mechanics,1986,112:154~174.
[8]Abrahamson N A,Schneider J F,Stepp J C.Empirical spatial coherency functions for application to soil-structure interaction analysis[J].Earthquake Spectra,1991,7:1~28.
[9]潘旦光,楼梦麟,董聪.SH波作用下层状土层随机波动分析[J].工程力学,2005,22(5):20~25.Pan Danguang,Lou Menglin,Dong Cong.Random wave-theory analysis of layered sites under SH wave[J].Engineering Mechanics,2005,22(5):20~25.(in Chinese)
[10]Wolf J P.Dynamic soil-structure interaction[M].Englewood Cliffs,Inc.,Pretice-Hall,New Jersey,1985.
[11]胡聿贤.地震工程学[M].北京:地震出版社,1988.Hu Yuxian.Earthquake Engineering[M].Beijing:Seismological Press,1988.(in Chinese)
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