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: 针对陡坡高填路基加固存在的工程问题,将椅式桩板墙改进为集支撑与支挡功能于一体的组合结构,并从结构体系与功能、受力特性、路用性能等角度分析了该结构的技术优势。为便于工程计算和参数优化,基于Winkler地基梁模型及初参数解法,结合特征截面上内力连续、位移协调关系、及边界条件,建立了静力平衡方程,采用消元法与矩阵法相结合,求得结构内力与变形的解析解。通过工程实例验算表明,该解析解与采用Midas GTS NX对二维杆系模型的有限元计算结果吻合较好,误差约2%;采用Abaqus对三维有限元模型的模拟结果与解析解也较吻合,横梁跨中及桩身弯矩误差约5%,说明所建杆系计算模型及推导的解析解合理可行;三维有限元模拟结果中,邻近梁桩节点的横梁弯矩与解析解误差约20%,主要原因是实体模型节点位置横梁截面刚度突变,致使邻近单元出现应力异常。该研究为陡坡高填路基加固提出了一种微创型组合结构及其解析计算公式,同时也为需考虑土-结构相互作用的类似结构分析提供了一种实用计算方法。

     

    Abstract: To address the engineering problems associated with the reinforcement of high-filled subgrades on steep cross slopes, the chair-shaped sheet-pile wall has been improved into a composite structure integrating the functions of both supporting and retaining. Its applicability and advantages are elaborated from the perspectives of structural system and functionality, load-bearing characteristics, and road performance. To facilitate engineering calculation and structural optimization, static equilibrium equations are established based on the Winkler foundation beam model and the initial parameter method, by considering the internal forces continuity, displacement compatibility at structural characteristic sections, and boundary conditions. Analytical solutions for internal forces and deformations of the structure are obtained by combining with the elimination method and the matrix method. Verification calculations through an example structure shows that the analytical solutions closely match the finite element simulation results from a two-dimensional frame model using Midas GTS NX, with an error of less than 2%. In addition, the results from three-dimensional solid finite element simulations using Abaqus also agree well with the analytical solutions, with the errors of bending moments at the mid-span of beam and along the pile shaft being about 5%. These results demonstrate that the analytical calculation model and its solutions are both reasonable and feasible. In the solid finite element simulation, the bending moment of the beam near beam-pile joints exhibits an error of about 20% compared with the analytical solution, primarily due to the abrupt change in the beam's section modulus at these joints, which leads to abnormal stress levels in adjacent elements. These findings propose a minimally invasive composite structure and its analytical solution for reinforcing high-fill subgrades on steep cross slopes, and also provide a practical calculation method for similar subgrade reinforcement structures considering soil–structure interaction.

     

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