扭转弹簧约束下输流管道在分布随从力作用下的稳定性  

Stability of Pipe Conveying Fluid with Torsion Spring Constraints Under Distributed Follower Force

作　　者：陈翔瑜 郭长青 王艳红 CHENG Xiangyu;GUO Changqing;WANG Yanhong(School of Civil Engineering,University of South China,Hengyang,Hunan 421001,China)

机构地区：[1]南华大学土木工程学院,湖南衡阳421001

出　　处：《南华大学学报（自然科学版）》2024年第3期1-6,共6页Journal of University of South China：Science and Technology

基　　金：国家自然科学基金资助项目(51678286)。

摘　　要：采用Bernoulli-Euler梁模型为基础,建立了扭转弹簧约束下输流管道的动力学方程,并利用伽辽金法(Galerkin method)方法将方程离散。通过对特征值的分析,研究了约束弹性刚度、质量比和分布随从力等参数对输流管道复频率特性和临界流速的影响。通过复频率随流速变化的曲线,分析不同参数下管道的稳定性。研究结果表明:随着扭转弹簧刚度增加,管道失稳时的临界流速明显提高;随着分布随从力增加,管道失稳时的临界流速明显减小。当扭转弹簧约束下的输流管道在受到分布随从力作用时,输流管道的失稳方式为发散失稳和颤振失稳。Based on the Bernoulli-Euler beam model,the dynamic equation of pipes conveying fluid with torsion spring constraints is established,which is discretized by using Galerkin s method.By analyzing the eigenvalues,the effects of parameters such as elastic stiffness of constraints,mass ratio,and distributed follower force on the complex frequency and critical flow velocity of pipes conveying fluid are studied.The stability of the pipe under different parameters is analyzed by means of curves of variation of complex frequency with flow rate.The results show that the critical flow velocity for instability of the pipe increases significantly with increasing torsion spring stiffness;the critical flow velocity of pipe decreases significantly with increasing distributed follower force.When the pipe conveying fluid with torsion spring constraints is subjected to distributed follower force,the types of instability of the pipe are divergence and flutter.

关 键 词：分布随从力 临界流速 输流管道 稳定性 

分 类 号：TE832[石油与天然气工程—油气储运工程]