基于改进变形协调方程的桩锚结构内力计算与工程应用OA

The deformation compatibility equation plays a crucial role in the internal force calculation of pile-anchor structures.However,the existing deformation compatibility equation for pile-anchor structures simplifies the relationship between the horizontal displacement at the anchor point of the pile and the deformation of the anchor cable,which leads to significant errors in the calculated internal forces of the pile when the incident angle of the anchor cable is large.To address these limitations,improvements were made to the deformation compatibility equation in two aspects.First,the length of the free section of the anchor cable was incorporated to establish the geometric relationship of the deformation of the pile-anchor structure,thereby enhancing the deformation compatibility condition of the pile-anchor system.Secondly,during the derivation of the deformation compatibility equation,the calculation method of the displacement contribution value of the j-row anchor cable of the anti-slide pile to the i-row anchor cable is improved.A program for calculating the internal forces of pile-anchor structures was developed using Matlab software.The internal forces of the pile-anchor structure were computed using both the existing method and the improved method,and the results were compared with numerical simulations.The findings indicate that the calculation results obtained using the improved method exhibit greater consistency with the numerical simulation results,with relative errors in shear force and bending moment of the pile body both being less than 0.3%,which validates the feasibility and rationality of the improved deformation compatibility equation for pile-anchor structures.This research can provide theoretical calculation basis for the design of pile-anchor support systems.