Calculation on the Internal Force of Deeply Buried Anti-Slide Pile by Using Finite Difference Method Based on the m-k Type Method

Abstract

In the past, when used the foundation coefficient to calculate the internal force of anti-slide pile, power series method is usually adopted. The deformation compatibility conditions and continuity conditions of sliding surface between non-anchoring section and anchoring section are exploited to determine the final result, causing the lengthy solution process and that there is no guarantee for the calculation accuracy. This paper uses the foundation coefficient method in the calculation of internal force of anti-slide pile and employs the “m-k” method with a more complicated up-down foundation structure to get the finite difference equation to determine the new-type deeply buried anti-slide pile displacement and internal force. Then the calculation on the internal force and displacement of the whole pile can be realized easily through the procedure method. Finally, this paper makes a contrastive analysis on the result of the finite difference method and finite element calculation through the case study. As long as the equal differential step length is small enough, the calculation accuracy can meet the demand of engineer design and the program graph processing result can optimize the design of anti-slide pile.

Study of Load Calculation Models for Anti-Sliding Short Piles Using Finite Difference Method

“…Nonetheless, existing research is typically focused on cantilever anti-sliding piles, and there is limited research on finite difference calculation methods for anti-sliding short piles. Fan QY et al [25] employed the m-k method to derive finite difference equations for the displacement and internal forces of deeply buried anti-slide piles, enabling the calculation of the entire pile's internal forces and displacements through a programmed approach. Their research confirmed the suitability of the finite difference method for calculating the internal forces of anti-sliding short piles.…”

Seismic Response Characteristics of Stabilizing Pile Based on Elastic‐Plastic Analysis

“…Nowadays, many researches about stabilizing pile have been carried out [5][6][7][8]. On the one hand, many scholars put forward the corresponding calculation formula in view of pile spacing [9], pile length [10], embedded depth [11], and so on to optimize the structure design, which provided theory basis for the engineering practical application of stabilizing pile [12]. On the other hand, as an important measure to control landslides, the seismic response characteristics of slope soil and pile-soil interaction were also research topics in geotechnical engineering.…”