横观各向同性层状弹性场地格林函数的数值解
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摘要
采用横观各向同性层状弹性模型模拟半空间之上的层状场地，用人工透射边界代替半空间以吸收能量· 利用薄层元素法给出任意节面上环形垂直及水平简谐荷载作用下场地的位移公式，并由此导出这类场地任意节面上在垂直及水乎简谐集中荷载作用下的位移响应显式解· 算例表明本文方法与理论解相近，横观各向同性性质对格林函数有明显的影响·
In this paper, a model of transversely isotropic elastic strata is used to simulate the soil layers situated on a half space. Instead of the half space, an artificial transmitting boundary is used to absorb the vibration energy. The displacement formulas at any soil layer interfface under vertical or horizontal harmonic ring load are obtained by using the thin layer element method. From these formulas, the explicit solutions of Green's Functions_the displacement responses at any interface of these strata under vertical and horizon harmonic point loads_are derived. The examples show that the method presented in this paper is close to the theoretical method and the transversely isotropic property has evident influence on the Green's Functions.
In this paper, a model of transversely isotropic elastic strata is used to simulate the soil layers situated on a half space. Instead of the half space, an artificial transmitting boundary is used to absorb the vibration energy. The displacement formulas at any soil layer interfface under vertical or horizontal harmonic ring load are obtained by using the thin layer element method. From these formulas, the explicit solutions of Green's Functions_the displacement responses at any interface of these strata under vertical and horizon harmonic point loads_are derived. The examples show that the method presented in this paper is close to the theoretical method and the transversely isotropic property has evident influence on the Green's Functions.
引文
[1] 华南理工大学,浙江大学,东南大学,湖南大学编. 地基与基础(新一版)[M] . 北京: 中国建筑工业出版社,1991.
[2] Waas G,Riggs HR, Werkle H.Displacementsolutionsfor dynamicloadsintransversely_lsotropic stratified media[J] .EESD,1985,13(2):173 ～193.
[3] Kausel E,Peek R.Dynamicloadsin theinterior of alayered stratum :an explicit solution[J] . BSSA,1982,72(5) :1459～1481.
[4] 陈镕,薛松涛,陈竹昌等. 横观各向同性层状弹性场地对环形简谐荷载的位移响应[J] . 上海力学,1999,20(2):139～147.
[5] 田治见宏. 建物と地盘相互作用,地震工学[M] . 日本东京:彰国社,1968 ,55_105 .
[6] 长谷川正辛. 弹性波动论に基づぃた群杭の动的举动に关よゐ基础的研究[A] .ORI研究报告[R] ,日本东京:清水建设株式社会,1993 年10 月.
[2] Waas G,Riggs HR, Werkle H.Displacementsolutionsfor dynamicloadsintransversely_lsotropic stratified media[J] .EESD,1985,13(2):173 ～193.
[3] Kausel E,Peek R.Dynamicloadsin theinterior of alayered stratum :an explicit solution[J] . BSSA,1982,72(5) :1459～1481.
[4] 陈镕,薛松涛,陈竹昌等. 横观各向同性层状弹性场地对环形简谐荷载的位移响应[J] . 上海力学,1999,20(2):139～147.
[5] 田治见宏. 建物と地盘相互作用,地震工学[M] . 日本东京:彰国社,1968 ,55_105 .
[6] 长谷川正辛. 弹性波动论に基づぃた群杭の动的举动に关よゐ基础的研究[A] .ORI研究报告[R] ,日本东京:清水建设株式社会,1993 年10 月.
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