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