上海交通大学学报

上海交通大学学报 ›› 2002, Vol. 36 ›› Issue (03): 428-431.doi: 10.16183/j.cnki.jsjtu.2002.03.034

所属专题： 王建华教授学报发文专辑

• • 上一篇    

半空间饱和土作用垂直集中荷载时的瞬态解

周香莲, 王建华, 陆建飞   

  1. 上海交通大学建筑工程与力学学院，上海 　200030
  • 收稿日期:2001-05-15 出版日期:2002-03-01 发布日期:2021-04-25
  • 作者简介:周香莲（1972-)，女，湖南衡阳人，博士生，主要研究桩土之间相互作用的动力反应．

Transient Solution of Impulsive Normal Loads in Half Space Saturated Soil

ZHOU Xiang-lian, WANG Jian-hua, LU Jian-fei   

  1. School of Civil Eng. and Mechanics, Shanghai Jiaotong Univ. , Shanghai 200030, China
  • Received:2001-05-15 Online:2002-03-01 Published:2021-04-25

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摘要：

采用Biot提出的流固两相介质耦合的波动方程来研究半空间饱和土在垂直集中力作用下的瞬态问题．利用Laplace-Hankel积分变换得到变换域内的解析表达式，并利用Laplace-Ha nkel数值逆变换得到半空间饱和土在时域内的数值解．退化到线弹性中的解与Pekeri s的闭合解进行比较，验证了本文结果的正确性和数值积分的可靠性．

关键词: 瞬态解, Biot固结方程, Laplace-Hankel变换, 数值积分

Abstract:

The transient dynamic response of saturated soil under suddenly applied point loading was studied. The behavior of saturated soil was governed by Biot's consolidation theory. The solutions for transform domain were obtained by using Laplace-Hankel integral transforms. The solutions for time domain can be evaluated by the numerical inverse Laplace-Hankel transforms. The selected numerical solutions of displacements and stresses were presented. Comparisons with the existing closed-form solutions for elastic half space were presented to confirm the accuracy of the present solutions.

Key words: transient solution, Biot consolidation equation, Laplace-Hankel transforms, numerical integration

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