【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-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.更多还原

【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.更多还原