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如何准确地计算路基的不均匀沉降是铁道工程中急待解决的重要问题。本文用应力扩散法和等效截面法的思想建立了在路堤荷载作用下分析路基不均匀沉降的平面应变模型,它由两段不同土质的路基组成,土的力学参数沿深度按指数规律变化。建立了问题的基本方程和边界条件。对问题的解进行了拆分,一部分是猜测的解,另一部分用Fourier变换方法求解,从而得了路基不均匀沉降的解析解。最后通过一个算例给出了该解析解的数值结果。
How to accurately calculate the subgrade settlement is an urgent and urgent problem in railway engineering. In this paper, the plane strain model for analyzing subgrade settlement under embankment load is established by the idea of stress diffusion and equivalent section method. It consists of two sections of subgrade with different soil quality. The mechanical parameters of soil change exponentially along the depth. The basic equations of the problem and the boundary conditions are established. The solution to the problem is split, one part is the solution of guesswork, and the other part is solved by Fourier transform method, so that an analytical solution of uneven subgrade settlement is obtained. Finally, an numerical example of the analytical solution is given.