层状饱和场地中线性分布斜线荷载的动力Green函数
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摘要
基于一种实用的Bo it模型,利用层状饱和土层的精确动力刚度矩阵,给出了层状饱和场地中线性分布荷载作用于与水平向有夹角的倾斜直线时的动力G reen函数,解决了利用间接边界元法分析局部地形对地震波散射及土-结构动力相互作用等研究中的关键问题。本文解答可以退化为W o lf弹性情况结果,最后进行了算例分析。
Based on one kind of practical Biot's equation and the exact dynamic-stiffness matrices of poroelastic soil layer and half-space,Green's functions were derived for linearly distributed loads acting on inclined line in a poroelastic layered site.The key problems within the indirect boundary element method,which was employed to analyze the influence of the local soil conditions on wave scattering and dynamic soil-structure interaction,is solved.The Green's functions given in this research can be degenerated to the case of elastic layered site developed by Wolf.Finally Parametric studies are carried out in the paper.
Based on one kind of practical Biot's equation and the exact dynamic-stiffness matrices of poroelastic soil layer and half-space,Green's functions were derived for linearly distributed loads acting on inclined line in a poroelastic layered site.The key problems within the indirect boundary element method,which was employed to analyze the influence of the local soil conditions on wave scattering and dynamic soil-structure interaction,is solved.The Green's functions given in this research can be degenerated to the case of elastic layered site developed by Wolf.Finally Parametric studies are carried out in the paper.
引文
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[3]B iot M A.T he theory of propagation of e lasticw aves in a flu id-saturated porous so lid:Ⅰ.Low-frequency range[J].J A coust Soc Am,1956,28:168—178.
[4]B iot M A.,T he theory of propagation of e lasticw aves in a flu id-saturated porous so lid:Ⅱ.H igher-frequency range[J].J A coust Soc Am,1956,28:179—191.
[5]王立忠,陈云敏,吴世明,等.饱和弹性半空间在低频谐和集中力下的积分形式解[J].水利学报,1996,(2):84—89.
[6]陈胜立,张建民,陈龙珠.饱和地基中埋置点源荷载的动力G reen函数[J].岩土工程学报,2001,23(4):423—426.
[7]王建华,陆建飞,沈为平.半空间饱和土在内部简谐垂直力作用下的G reen函数[J].水利学报,2001,(3):54—57.
[8]陆建飞,王建华,沈为平.半空间饱和土在内部简谐水平力作用下的G reen函数[J].地震学报,2001,23(2):185—191.
[9]R a japakse R K N D,Sen jun ticha i T.D ynam icresponse of a m u lti-layered poroe lastic m ed ium[J].E arthquake Eng ineerig and S tructura l D ynam ics,1995,24:703—722.
[10]Sen jun ticha i T,R a japakse R K N D D ynam ic G reen'sfunction of hom ogeneous poroe lastic ha lf-p lane[J].Journa l of Eng ineering M echan ics,A SCE,1994,120(11):2 381—2 404.
[11]Z ienk iew icz O C,Chang C T,B ettess P.D ra ined,undra ined,conso lidating and dynam ic behav iorassum ptions in so ils[J].G eotechn ique,1980,30:385—395.
[12]吴世明.土动力学[M].北京:中国建筑工业出版社,2000.
[13]L iang Jianw en,Y ou Hongb ing.D ynam ic stiffnessm atrix of a poroe lastic m u lti-layered s ite and itsG reen's functions[J].E arthquake Eng ineering andEng ineering V ibration,2004,3(2):273—282.
[2]V ogt R F,W o lf J P,B achm ann H.W ave scatteringby a canyon of arb itrary shape in a layered ha lf space[J].E arthquake Eng ineering and S tructura lD ynam ics,1988,16:803—812.
[3]B iot M A.T he theory of propagation of e lasticw aves in a flu id-saturated porous so lid:Ⅰ.Low-frequency range[J].J A coust Soc Am,1956,28:168—178.
[4]B iot M A.,T he theory of propagation of e lasticw aves in a flu id-saturated porous so lid:Ⅱ.H igher-frequency range[J].J A coust Soc Am,1956,28:179—191.
[5]王立忠,陈云敏,吴世明,等.饱和弹性半空间在低频谐和集中力下的积分形式解[J].水利学报,1996,(2):84—89.
[6]陈胜立,张建民,陈龙珠.饱和地基中埋置点源荷载的动力G reen函数[J].岩土工程学报,2001,23(4):423—426.
[7]王建华,陆建飞,沈为平.半空间饱和土在内部简谐垂直力作用下的G reen函数[J].水利学报,2001,(3):54—57.
[8]陆建飞,王建华,沈为平.半空间饱和土在内部简谐水平力作用下的G reen函数[J].地震学报,2001,23(2):185—191.
[9]R a japakse R K N D,Sen jun ticha i T.D ynam icresponse of a m u lti-layered poroe lastic m ed ium[J].E arthquake Eng ineerig and S tructura l D ynam ics,1995,24:703—722.
[10]Sen jun ticha i T,R a japakse R K N D D ynam ic G reen'sfunction of hom ogeneous poroe lastic ha lf-p lane[J].Journa l of Eng ineering M echan ics,A SCE,1994,120(11):2 381—2 404.
[11]Z ienk iew icz O C,Chang C T,B ettess P.D ra ined,undra ined,conso lidating and dynam ic behav iorassum ptions in so ils[J].G eotechn ique,1980,30:385—395.
[12]吴世明.土动力学[M].北京:中国建筑工业出版社,2000.
[13]L iang Jianw en,Y ou Hongb ing.D ynam ic stiffnessm atrix of a poroe lastic m u lti-layered s ite and itsG reen's functions[J].E arthquake Eng ineering andEng ineering V ibration,2004,3(2):273—282.
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