The Numerical Solution of Green’s Functions for Transversely Isotropic Elastic Strata
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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.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 interface under vertical or horizontal harmonic ring loads 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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Key words:
- transversely isotropic /
- layered elastic strata /
- Green’s function
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