地埋薄壁管道与土相互作用的三维理论分析

3-D theoretical analysis on the interaction between buried thin-wall pipe and soil

在一般荷载作用下,地埋薄壁管道与土相互作用的三维分析是困扰工程界的一个难题,应用传递矩阵法直接从微分方程出发,对地埋薄壁管道受力与变形的微分控制方程作Fourier变换,得到易求解的常微分方程组。采用变量变换技术和Ricatti传递矩阵,避免传递矩阵的刚性。通过基于高斯积分的隐式Runge-Kutta方法克服求解困难,实现对地埋管道结构的受力与变形的三维理论分析。将该三维理论分析方法编写计算程序,通过与二维分析方法和实际监测结果的分析,可看出,地埋管道与土相互作用的三维分析结果表现为管顶部的变形较小,底部变形较大,与实测结果相近。这验证了该理论分析方法的正确性,它可供地埋管道设计计算参考。

It is difficult to perform 3-D analysis on the interaction between buried pipe and soiL Using transfer matrix method, the differential equations govening the deformation and stress of buried pipe are transformed into ordinary differential equations that are more tractable to solution. Rigidity of the transfer matrix is avoided by adopting variable coversion and Ricatti transfer matrix. These differential equations are solved by the method of implicit Runge-Kutta based Gaussian integration. The method is coded using the VC computer language. The calculated pattern of displacement of pipe buried in soil is close to measured values in the field, indicating the correctness of the proposed method.