基于三阶剪切理论的输流圆管横力弯曲分析  

Bending Analysis on Flow-conveying Circular Pipes Subiected to Lateral Forces Based on Third-Order Shear Theory

作　　者：随岁寒 彭丹华 刘金建 祁晓乾 刘晓光[1] SUI Suihan;PENG Danhua;LIU Jinjian;QI Xiaoqian;LIU Xiaoguang(School of Mechanical Engineering,Shangqiu Institute of Technology,Shangqiu 476000,China;Suzhou Juyue Information Technology Co LTD,Suzhou 215100,China)

机构地区：[1]商丘工学院机械工程学院,河南商丘476000 [2]苏州聚悦信息科技有限公司,江苏苏州215100

出　　处：《东莞理工学院学报》2022年第1期112-116,共5页Journal of Dongguan University of Technology

基　　金：河南省高等学校重点科研项目(21B520016)。

摘　　要：基于Reddy三阶剪切梁理论,应用有限元法研究输流管道系统在重力和流体离心力联合作用下的弯曲问题。首先,利用虚功原理建立水平布置输流管道系统有限元方程;随后,求解方程得到了两种典型边界条件下管道的横向挠度及其截面转角,重点探究了流体速度对管道弯曲的影响,并揭示了速度的影响机制;最后,分析了管道跨度与最大挠度的关系。结果表明:固支和简支边界条件下,流体离心力与重力方向相同,因而流体速度增大则管道挠度增大;重力、流体离心力和跨度是影响管道横向弯曲的主要因素。Based on Reddy's third-order shear beam theory,the finite element method is applied to study the bending of the pipe system under the combined action of gravity and fluid centrifugal force.Firstly,the finite element equation of horizontal pipe system is established based on virtual work principle.Then,the lateral deflection and its slop of the pipe under two typical boundary conditions were obtained by solving the equation.The influence of fluid velocity on pipe bending was explored and the influence mechanism of velocity was revealed.Finally,the relationship between pipe span and maximum deflection was analyzed.The results show that the centrifugal force of fluid is in the same direction as gravity under fixed and simply supported boundary conditions,so the deflection of pipe increases with the increase of fluid velocity.Gravity,fluid centrifugal force and span are the main factors affecting the transverse bending of pipes.

关 键 词：Reddy三阶剪切梁理论 输流圆管 弯曲 限元法 

分 类 号：O343[理学—固体力学]