四川轻化工大学学报(自然科学版)2025,Vol.38Issue(1):103-113,11.DOI:10.11863/j.suse.2025.01.12
基于弹性地基梁原理的埋地天然气管道内力分析
Internal Force Analysis of Buried Natural Gas Pipeline Based on Elastic Foundation Beam Principle
摘要
Abstract
Buried pipelines are subjected to a variety of loads in real situations,and the use of finite element method(FEM)to simulate soil and pipelines requires the creation of a large number of elements,which is time-consuming,computationally intensive,and difficult to model.Using the elastic foundation beam method,the long-distance buried pipeline is simplified into a series of elastic beams on elastic foundations,and the axial force,torque and bending moment that the pipeline is subjected to in practice are considered.The differential equations of the deflection curve of the pipeline subjected to the above loads are derived respectively,and the analytical solution of the deflection is obtained,which leads to the expression of the bending moment of the pipeline cross-section.Based on the monitoring data,the unknown coefficients in the solution are determined.Therefore the theoretical solutions of the bending moment of any cross-section of the pipe can be compared with the FEM results.It shows that the cross-section bending moments obtained from the theoretical solution match well with the FEM results in the middle of the pipeline,relative error in the range of 0.1%~0.5%.The average error of the pipeline as a whole is between 3%and 6%,and the overall average error of the stresses is 6.6%.The numerical results prove the validity of the theoretical solution,and the proposed theoretical solution is instructive for the analysis of buried pipelines关键词
弹性地基梁/埋地管道/弯矩/理论解析/最小势能原理/变分法Key words
elastic foundation beam/buried pipeline/bending moment/theoretical analysis/principle of least potential energy/calculus of variations分类
建筑与水利引用本文复制引用
于昊,喻勇,李荣光,孙伶,陈斯迅,成志强..基于弹性地基梁原理的埋地天然气管道内力分析[J].四川轻化工大学学报(自然科学版),2025,38(1):103-113,11.基金项目
长江科学院开放研究基金资助项目(CKWV20221016/KY) (CKWV20221016/KY)