具有初始弯曲的桩基稳定性分析

上海大学学报(自然科学版) ›› 2009, Vol. 15 ›› Issue (3): 290-295.

具有初始弯曲的桩基稳定性分析

高杉1 朱媛媛2 朱正佑1

1.上海大学上海市应用数学和力学研究所，上海 200072; 2.上海师范大学计算机科学与技术系，上海 200234

出版日期:2009-06-30 发布日期:2009-06-30
通讯作者: 朱正佑(1937~),男,教授,博士生导师,研究方向为固体力学和一般力学. Email:zyzhu@mail.shu.edu.cn

Analysis of Stability of Pile with Initial Bending

GAO Sha-1, SHU Yuan-Yuan-2, SHU Zheng-You-1

1.Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China;
2.Department of Computer Science and Technology, Shanghai Normal University, Shanghai 200234, China

Online:2009-06-30 Published:2009-06-30

摘要/Abstract

摘要：

考察具有初始弯曲的桩基的稳定性和过屈曲问题.对得到的非线性微分〖CD*2〗积分控制方程，引入新的未知函数，将其化为一组非线性常微分方程的边值问题.在阐述了用打靶法和牛顿法求解这一边值问题的细节之后，给出了一种数值计算分支解的方法，通过算例说明此方法是有效可行的.数值计算结果表明,小的初始弯曲不会改变桩基分支解的定性性质.

关键词: 弯曲的桩基；稳定性；特征值；分支解

Abstract:

In this paper, stability and post-bucking of pile with initial bending are considered. For the nonlinear differentialintegral-equation modeled pile with initial bending, it was transformed into a boundary value problem of a system of ordinary differential equations by introducing new unknown functions. After describing the numerical method for solving the boundary value problem by shooting method and Newton-Raphson interactive method, a method for calculating the branch solution is proposed. Examples are given to show feasibility of the proposed method. Numerical results show that small initial bending of pile does not change the qualitative property of the branch solution of the pile. 

Key words: bending pile; stability; eigenvalue; branch solution

中图分类号:

O322

高杉1 朱媛媛2 朱正佑1. 具有初始弯曲的桩基稳定性分析[J]. 上海大学学报(自然科学版), 2009, 15(3): 290-295.

GAO Sha-1, SHU Yuan-Yuan-2, SHU Zheng-You-1. Analysis of Stability of Pile with Initial Bending[J]. Journal of Shanghai University（Natural Science Edition）, 2009, 15(3): 290-295.