适于陡坡高填路基加固的“支撑-支挡”组合结构及其解析解

A "SUPPORT-RETAINING" COMPOSITE STRUCTURE AND ITS ANALYTICAL SOLUTION SUITABLE FOR REINFORCING HIGH-FILLED SUBGRADE ON STEEP CROSS SLOPE

  • 摘要: 针对陡坡高填路基存在整体稳定性不足、沉降不均、施工扰动大等工程问题,本文对椅式桩板墙进行形态优化,创构一种可实现竖向支撑与水平支挡协同工作的新型组合结构,比现有的路基支挡结构具有更好的承载能力及路基服役性能。为便于工程计算与结构优化,基于Winkler地基梁模型与初参数解法,结合特征截面上内力连续、位移协调及边界约束条件,建立结构静力平衡方程,通过消元法与矩阵法联合求解,推导出结构内力与变形的解析计算公式。依托工程实例开展解析解法与有限元数值解法对比计算,采用Midas GTS NX对二维杆系模型计算所得内力、变形结果与解析解误差小于2%;剔除梁桩节点处刚度突变引发的局部应力集中区域后,Abaqus三维数值模拟所得横梁及桩身弯矩与解析解误差约5%,整体吻合度良好。实例验证表明,本文所建理论计算模型及解析解法合理可靠,能满足工程计算要求。研究成果既完善了陡坡高填路基加固结构体系与计算理论,也为考虑土-结构相互作用的同类结构分析提供了实用计算方法。

     

    Abstract: To address the engineering challenges associated with high-filled subgrades on steep cross slopes, including insufficient global stability, differential settlement and significant construction disturbance, a novel composite structure is proposed through the optimization of the chair-shaped pile-slab wall system.The proposed structure enables coordinated vertical support and lateral retaining actions, thereby improving the mechanical performance and serviceability of reinforced subgrades relative to existing subgrade retaining structures.To facilitate engineering calculation and structural optimization, an analytical solution is developed based on the Winkler foundation beam model and the initial parameter method. The static equilibrium equations of the structure are established firstly through incorporating internal force continuity, displacement compatibility and boundary constrain. Analytical expressions for internal forces and deformations are subsequently derived by combining the elimination method and the matrix method. An engineering case is employed to validate the proposed analytical method through comparisons with numerical simulations of finite-element models. The internal forces and deformations obtained from two-dimensional numerical simulations applying Midas GTS NX shows discrepancies of less than 2% relative to the analytical solutions. After excluding local stress concentration areas induced by the abrupt change in stiffness near the beam-pile joint, the three-dimensional simulations applying Abaqus also exhibit well with the analytical results, deviations of approximately 5% in the bending moments along the beam and pile shaft. The verification results demonstrate that the proposed theoretical calculation model and analytical apporch are reasonable and reliable, and sufficiently accurate for practical engineering applications. This study enriches the reinforcement structure system and calculation theory for steep-slope high-fill subgrades, but also provides a practical calculation method for the analysis of similar structures considering soil-structure interaction.

     

/

返回文章
返回