海底管道整体屈曲摄动解与Galerkin解的对比分析

Contrastive analysis of perturbation method and Galerkin method for global buckling of submarine pipeline

海底管道在高温高压下的整体屈曲是管道设计中需要考虑的重要问题。由于地基土体对管道作用的非线性特点,使得求解高温高压下海底管道整体屈曲变形的理论解非常困难。摄动法和Galerkin法是求解海底管道整体屈曲的重要方法。文章在考虑土体对管道抗力的分析模型基础上对海底管道水平向整体屈曲变形的摄动法解与Galerkin法解进行了对比,发现两者得到的结果差异较小,但Galerkin法求解过程复杂,计算量大,且土抗力的函数表达式较为单一。

The global buckling of submarine pipeline subjected high temperature and pressure is an important issue in pipeline design.Because of the nonlinear characteristics of pipe-soil interaction, it is very difficult to get an analytical solution for global buckling of submarine pipeline. Perturbation method and Galerkin method are important methods to solve the global buckling of submarine pipeline. On the basis of nonlinear soil resistance, perturbation method and Galerkin method for the lateral global buckling were compared in this paper. It is found that the difference between two results is small, but the Galerkin method is more complicated and cost a larger calculation .