一种微创型半填半挖路基结构及其解析解法

A MINIMALLY INVASIVE SEMI-FILL AND SEMI-DIG SUBGRADE COMPOSITE STRUCTURE AND ITS ANALYTICAL SOLUTION METHOD

  • 摘要: 针对山区陡峻横坡地形上半填半挖路段,提出了一种集支挡、悬挑、支撑等多功能组合的微创型路基结构。根据Winkler地基梁和Coulomb土压力理论,建立了双层土地基中该结构的杆系模型及其静力平衡方程组,按初参数法为其构建了求解矩阵方程,求得结构内力和变形的解析解,并用Python语言和PyQt5可视化编程开发了解析法的交互式计算程序。对某工程实例结构进行了多方法求解计算,结果表明:解析法与Midas GTS NX二维杆系模型有限元模拟所得的结构内力和变形一致,误差不到0.3%,证明了解析公式的正确性;Abaqus三维实体模型有限元模拟结果与解析解较接近,误差约10%,表明理论计算模型及其解析解是合理、可行的;解析解与三维实体有限元数值解的差别主要与二者桩后土压力分布形态、结构与土相互作用模拟的差异有关,需进一步探究。

     

    Abstract: For semi-filled and semi-excavated road sections on steep cross-slopes in mountainous areas, proposed is a new type subgrade structure that integrates multiple functions, including retaining, cantilevering, and support. Based on Winkler foundation beam theory and Coulomb earth pressure theory, an analytical calculation model and its static equilibrium equation are established for this structure in a double-layered soil foundation. The initial parameter method is employed to construct a solution matrix equation, enabling the derivation of analytical solutions for the internal forces and deformations of the structure. An interactive computing program implementing this analytical method is developed using Python and PyQt5. Multi-method analyses are conducted on a case study from a highway project. Analysis results show that the analytical method aligns closely with the finite element simulation of two-dimensional truss model using Midas GTS NX, with discrepancies of less than 0.3%, verifying the accuracy of the analytical formulas. Additionally, the results from finite element simulation of three-dimensional solid model using Abaqus also agree well with the analytical solutions, with an error of about 10%, demonstrating that the analytical model and its solutions are both reasonable and feasible. The differences between analytical solutions and solid finite element numerical solutions are mainly attributed to variations in the earth pressure distribution behind the piles and differences in the simulated interaction between the structure and soil, which warrant further investigations.

     

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