上海交通大学学报

上海交通大学学报 >

2002 , Vol. 36 >Issue 03: 428 - 431

DOI: https://doi.org/10.16183/j.cnki.jsjtu.2002.03.034

半空间饱和土作用垂直集中荷载时的瞬态解

展开
  • 上海交通大学建筑工程与力学学院，上海 　200030
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．

收稿日期: 2001-05-15

  网络出版日期: 2021-04-25

收起

Transient Solution of Impulsive Normal Loads in Half Space Saturated Soil

Expand
  • School of Civil Eng. and Mechanics, Shanghai Jiaotong Univ. , Shanghai 200030, China

Received date: 2001-05-15

  Online published: 2021-04-25

Fold

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

本文引用格式

周香莲, 王建华, 陆建飞 . 半空间饱和土作用垂直集中荷载时的瞬态解[J]. 上海交通大学学报, 2002 , 36(03) : 428 -431 . DOI: 10.16183/j.cnki.jsjtu.2002.03.034

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

参考文献

[1] Lamb H. On the propagation of tremors on the surface of an elastic solid[J]. Philos Trans Royal Society of London, 1904, 203: 1-42.
[2] Pekeris C L. Motion of the surface of a uniform elastic half-space produced by a buried pulse[J]. J Acoust Soc Am, 1957, 29: 1233-1238.
[3] 曾三平, 曹志远. 层状弹性半空间轴对称动力问题的奇异解[J]. 力学学报, 1992, 24(4): 446-457.
[3] ZENG San-ping, CAO Zhi-yuan. Singular solutions of axisymmetric elastodynamic problem for multilayered halfspace[J]. Acta Mechanica Sinica, 1992, 24(4): 446-457.
[4] Jin Bo. Transient response of an elastic circular plate on a poroelastic half space[J]. Mechanics Research Communications, 2000, 27(2): 149-156.
[5] Biot M A. Theory of propagation of elastic waves in a fluid-saturated porous solid. I, low frenquency rang[J]. J Acoust Soc Am, 1956, 28(2): 168-178.
[6] 杨峻, 吴世明.非均质流固耦合介质轴对称动力问题时域解[J]. 力学学报, 1996, 28(3): 308-317.
[6] YANG Jun, WU Shi-ming. Transient solutions of axisymmetric dynamic problem for inhomogeneous two-phase media[J]. Acta Mechanica Sinica, 1996, 28(3): 308-317.
[7] Durbin F. Numerical inversion of Laplace transforms: an efficient improvement to Dubner and Abate 's method[J]. The Computer Journal, 1974, 17(4): 371-376.
Options
文章导航

/

〈 〉