| 横观各向同性层状弹性场地格林函数的数值解 |
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| 引用本文： | 陈镕,薛松涛,陈竹昌,陈军.横观各向同性层状弹性场地格林函数的数值解[J].应用数学和力学,2000,21(1):45-52. |
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| 作者姓名： | 陈镕 薛松涛 陈竹昌 陈军 |
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| 作者单位： | 同济大学结构理论研究所,上海,200092 |
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| 基金项目： | 国家自然科学基金!（59778033）,日本文部省科学研究费补助金!（ 国际学术研究）No．090 －44127 |
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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,并由此导出官类场地任意节面上在垂直及水平简谐集中荷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。
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| 关 键 词： | 横观各向同性 层状弹性场地 格林函数 数值解 |
| 修稿时间： | 1999-03-05 |
The Numerical Solution of Green's Functions for Transversely Isotropic Elastic Strata |
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| Chen Rong,Xue Songtao,Chen Zhuchang,Chen Jun.The Numerical Solution of Green's Functions for Transversely Isotropic Elastic Strata[J].Applied Mathematics and Mechanics,2000,21(1):45-52. |
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| Authors: | Chen Rong Xue Songtao Chen Zhuchang Chen Jun |
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| Abstract: | 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. |
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| Keywords: | transversely isotropic layered elastic strata Green's Function |
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