上海交通大学学报

上海交通大学学报 ›› 2001, Vol. 35 ›› Issue (04): 489-492.doi: 10.16183/j.cnki.jsjtu.2001.04.002

所属专题： 王建华教授学报发文专辑

• •    下一篇

层状粘弹性饱和土地基与基础和上部结构的共同作用

陆建飞, 司漪, 王建华   

  1. 上海交通大学建筑工程与力学学院，上海 　200030
  • 收稿日期:2000-06-01 出版日期:2001-04-01 发布日期:2021-04-25
  • 作者简介:陆建飞　1967年生，2000年于上海交通大学获博士学位，现在江苏理工大学任教．从事岩土力学、固体力学的研究．发表学术论文10余篇．|司漪　女，1977年生，现为上海交通大学硕士研究生．主要研究方向为上部结构与地基基础的共同作用．
  • 基金资助:
    国家自然科学基金资助项目(59879012)

Interaction between Superstructure, Raft and Layered Viscoelastic Saturated Soil

LU Jian-fei, SI Yi, WANG Jian-hua   

  1. School of Civil Eng. and Mechanics, Shanghai Jiaotong Univ. , Shanghai 200030, China
  • Received:2000-06-01 Online:2001-04-01 Published:2021-04-25

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摘要：

用子结构法将上部结构向边界凝聚，得上部结构的控制方程．筏板的控制方程由薄板理论和虚位移原理得到．利用层状粘弹性饱和土表面作用垂直载荷的基本解和筏板与地基的变形协调条件，可以得到筏板和地基相互作用的控制方程．对上述控制方程进行Laplace变换，得到变换域内的控制方程．求解上述变换域内的方程并进行相应的逆变换，则可求解出共同作用问题．

关键词: 层状地基, 上部结构, 共同作用, Biot固结, 递推矩阵

Abstract:

By using substructure method, the superstructure can be condensed to the interface of the superstructure and the raft, and the governing equation of the superstructure is obtainable. The governing equations of the raft are obtained based on the thin plate theory and the virtual work principle. By employing the elementary solution of the vertical force applied on the surface of the layered viscoelastic saturated soil and the compatibility conditions between the raft and the layered soil, the governing equation of the interaction between soil and raft is established. Laplace transform is applied to the obtained governing equations and the governing equations in transformed domain are gotten. Solving the governing equations in transformed domain and applying the corresponding inverse transform, the proposed interaction problem can be solved.

Key words: layered soil, superstructures, interaction, Biot consolidation, propagator matrix

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