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通过力学分析与有限元计算探讨浅埋大跨地下混凝土拱结构合理拱轴形式及拱轴优化问题。首先,基于曲梁平衡微分方程推导出浅埋大跨地下拱结构的合理拱轴微分方程。然后,分别采用SAP2000及ABAQUS有限元软件对相同参数下的不同拱轴混凝土拱结构进行内力比较分析,验证推导所得合理拱轴线的合理性。接着,以最大限度减小拱圈截面弯矩为优化目标,采用迭代法对拱轴进行优化,并以圆弧形拱轴为例进行计算分析。最后,将优化后的圆弧拱轴与本文所得合理拱轴的拟合曲线进行内力比较,得到合理拱轴线的近似最优解。本文的研究可为混凝土拱结构设计提供参考。
Discussion on Reasonable Shape and Axis Optimization of Shallow Buried Large Span Concrete Arch Structure by Mechanical Analysis and Finite Element Method. First, based on the curved beam equilibrium differential equation, the reasonable differential equations of the shallow arch bridge are derived. Then, using SAP2000 and ABAQUS finite element software to analyze the internal forces of different arch concrete arch structures under the same parameters, the rationality of deriving the reasonable arch axis is verified. Then, with the objective of minimizing the moment of arch ring section, the iteration method is adopted to optimize the arch axis, and the arc arch axis is taken as an example for calculation and analysis. Finally, the internal force of the fitting curve of the optimized circular arch axis and the rational arch axis obtained in this paper is compared to obtain the approximate optimal solution of the rational arch axis. The research in this paper can provide reference for the design of concrete arch structure.