分布随从力作用下含裂纹输流管道的稳定性-油气储运.PDF

2013 年 7 月　第 32 卷 第 7 期 完整性 1000-8241 2013 07-0715-06 文章编号： （ ） 分布随从力作用下含裂纹输流管道的稳定性 许锋　郭长青　黄建红 南华大学城市建设学院，湖南衡阳421001 摘要：以Pflüger 柱模型和普通输流管道模型为基础，建立了在流动流体和分布随从力共同作用下 管道的运动微分方程，并采用Galerkin 法进行离散。通过传递矩阵法结合边界条件求出模态函数 的频率特征值，研究了分布随从力作用下含裂纹输流管道的稳定性。分析了裂纹深度与位置对分布 随从力作用下简支输流管道临界流速和失稳形式的影响，数值计算结果表明：简支输流管道裂纹深 度越大，裂纹位置与端部距离越远，分布随从力对其稳定性的影响越明显，且其失稳形式也会发生相 应变化。（表1，图6，参9 ） 关键词：分布随从力；裂纹；输流管道；稳定性；传递矩阵 中图分类号：TE833　　　　　 文献标识码：A　　　　　doi ：10.6047/j .issn.1000-824 1.2013.07.006 Stability of cracked fluid-transmission pipeline under distributed follower forces Xu Feng, Guo Changqing, Huang Jianhong Urban Construction Institute, University of South China, Hengyang, Hunan, 421001 Abstract:Differential equation for movements of pipeline under joint actions of flowing fluid and distributed follower forces have been constructed on bases of Pflüger pillar model and common fluid-transmission pipeline models. Furthermore, divergence has been performed by using the Galerkin Method. Characteristic frequency values of modal functions can be determined through joint application of transmission matrix method and boundary conditions to determine the stability of fluid-transmission pipelines under distributed follower forces. In addition, impacts of cracking depth and position on the critical flow velocity and patterns of stability loss in fluid-transmission pipeline branch under distributed follower forces can be clarified. Research results show that deeper crack in fluid-transmission pipeline branch and longer distance between such crack and pipeline tip may gen