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

作　　者：于昊 喻勇[1,2] 李荣光 孙伶 陈斯迅 成志强[1,2] YU Hao;YU Yong;LI Rongguang;SUN Ling;CHEN Sixun;CHENG Zhiqiang(School of Mechanics and Aerospace Engineering,Southwest Jiaotong University,Chengdu 611756,China;Applied Mechanics and Structure Safety Key Laboratory of Sichuan Province,Southwest Jiaotong University,Chengdu 611756,China;North Pipeline Company of PIPECHINA,Langfang 065000,China)

机构地区：[1]西南交通大学力学与航空航天学院,成都611756 [2]西南交通大学应用力学与结构安全四川省重点实验室,成都611756 [3]国家管网集团北方管道公司,河北廊坊065000

出　　处：《四川轻化工大学学报(自然科学版)》2025年第1期103-113,共11页Journal of Sichuan University of Science & Engineering(Natural Science Edition)

基　　金：长江科学院开放研究基金资助项目(CKWV20221016/KY)。

摘　　要：埋地管道在实际情况中,受到多种荷载的作用,采用有限元方法(FEM)模拟土体和管道,需要建立大量的单元,存在费时费力、计算工作量大和建模困难等问题。利用弹性地基梁方法,将长输埋地管道简化为一系列弹性地基上的弹性梁。并考虑管道在工程实际中所承受到的轴向力、外力偶矩等情况,分别推导出管道在承受上述荷载下的挠曲线微分方程,得到挠度解析解,进而得到管道截面弯矩的表达式。根据已知监测数据,确定解中的待定系数,从而确定管道任意截面的弯矩,以便将理论解与有限元结果进行对比,并对管道表面的应力结果进行了相关计算和对比。结果表明,理论解得到的截面弯矩与有限元结果在管道中部吻合良好,相对误差处于0.1%~0.5%之间,管道整体的平均误差在3%~6%之间,应力的整体平均误差为6.6%。结果证明了理论解的有效性,该理论解的提出对于埋地管道的分析具有指导意义。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 

分 类 号：TU471.2[建筑科学—结构工程]