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饱和土表面在水平集中荷载作用下的瞬态反应
引用本文:周香莲,王建华,陆建飞.饱和土表面在水平集中荷载作用下的瞬态反应[J].岩土力学,2002,23(3):387-391.
作者姓名:周香莲  王建华  陆建飞
作者单位:上海交通大学,建筑工程与力学学院,上海,200240
基金项目:国家自然科学基金资助项目(No.59879012),国家教委博士点基金项目(No.98024832)
摘    要:分析了水平集中荷载作用在半空间饱和土表面时的瞬态问题。利用Laplace-Hankel变换对非轴对称Biot固结方程进行解耦,利用Laplace-Hankel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文献中的结果进行比较,验证了文中结果的正确性和数值逆变换的可靠性.可以用于研究地震工程中地震波的传播以及饱和土与结构之间相互作用等问题。

关 键 词:瞬态反应  Biot固结方程  Laplace-Hankel变换  数值积分法
文章编号:1000-7598-(2002)03-0387-05
修稿时间:2001年5月31日

Transient response of the surface of saturated soil under the horizontal loads
ZHOU Xiang -lian,WANG Jian-hua,LU Jian-fei.Transient response of the surface of saturated soil under the horizontal loads[J].Rock and Soil Mechanics,2002,23(3):387-391.
Authors:ZHOU Xiang -lian  WANG Jian-hua  LU Jian-fei
Abstract:The transient dynamic response of horizontal loads on the surface of saturated soil was studied in this paper.The governing equations of asymmetric dynamic load on the basis of the Biot's theory were solved by using Laplace -Hankel integral transform.Some numerical solutions for time domain were obtained by numerical inversion of Laplace -Hankel transform.The numerical solutions were confirmed by comparing with the exact and closed-form solutions for elastic half space.The solutions can be used to analyze seismic wave problems of earthquake engineering and dynamical interaction between saturated soil and structure.
Keywords:transient  response  Biot  consolidation equation  Laplace-Hankel transform  numerical quadrature
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