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Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (1): 49-58.

• 论文 • 上一篇    下一篇

THE NUMERICAL SOLUTIONS OF GREEN’S FUNCTIONS FOR TRANSVERSELY ISOTROPIC ELASTIC STRATA

陈镕, 薛松涛, 陈竹昌, 陈军   

  1. Institute of Structural Theory, Tongji University, Shanghai 200092, P R China
  • 收稿日期:1999-03-05 修回日期:1999-07-25 出版日期:2000-01-18 发布日期:2000-01-18
  • 基金资助:

    the National Natural Science Foundation of China(59778033);the Cultural Ministry of Japan(International Science Research) No.09044127

THE NUMERICAL SOLUTIONS OF GREEN’S FUNCTIONS FOR TRANSVERSELY ISOTROPIC ELASTIC STRATA

Chen Rong, Xue Songtao, Chen Zhuchang, Chen Jun   

  1. Institute of Structural Theory, Tongji University, Shanghai 200092, P R China
  • Received:1999-03-05 Revised:1999-07-25 Online:2000-01-18 Published:2000-01-18
  • Supported by:

    the National Natural Science Foundation of China(59778033);the Cultural Ministry of Japan(International Science Research) No.09044127

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摘要： 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.

关键词: transversely isotropic, layered elastic strata, Green’s function

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.

Key words: transversely isotropic, layered elastic strata, Green’s function

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