Journal of Central South University of Technology

, Volume 14, Issue 6, pp 853–857

# Perturbation analysis on post-buckling behavior of pile

• Zhao Ming-hua  (赵明华)
• He Wei  (贺 炜)
• Wang Hong-hua  (王泓华)
Article

## Abstract

The nonlinear large deflection differential equation, based on the assumption that the subsoil coefficient is the 2nd root of the depth, was established by energy method. The perturbation parameter was introduced to transform the equation to a series of linear differential equations to be solved, and the deflection function according with the boundary condition was considered. Then, the nonlinear higher-order asymptotic solution of post-buckling behavior of a pile was obtained by parameter-substituting. The influencing factors such as bury-depth ratio and stiffness ratio of soil to pile, slenderness ratio on the post-buckling behavior of a pile were analyzed. The results show that the pile is more unstable when the bury-depth ratio and stiffness ratio of soil to pile increase, and although the buckling load increases with the stiffness of soil, the pile may ruin for its brittleness. Thus, in the region where buckling behavior of pile must be taken into account, the high grade concrete is supposed to be applied, and the dynamic buckling behavior of pile needs to be further studied.

## Key words

pile foundation stable loading path perturbation approach bury-depth ratio stiffness ratio of pile to soil

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## Authors and Affiliations

• Zhao Ming-hua  (赵明华)
• 1
Email author
• He Wei  (贺 炜)
• 2
• Wang Hong-hua  (王泓华)
• 2
1. 1.Institute of Geotechnical EngineeringHunan UniversityChangshaChina
2. 2.School of Bridge and Structure EngineeringChangsha University of Science and TechnologyChangshaChina