In-plane dynamics of a fluid-conveying corrugated pipe supported at both ends

作     者：Yingjie WANG Qichang ZHANG Wei WANG Tianzhi YANG 

作者机构：Tianjin Key Laboratory of Nonlinear Dynamics and ControlDepartment of MechanicsSchool of Mechanical EngineeringTianjin University 

出 版 物：《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学（英文版）)

年 卷 期：2019年第40卷第8期

页      面：1119-1134页

核心收录：

学科分类：080704[工学-流体机械及工程] 08[工学] 0807[工学-动力工程及工程热物理] 

基　　金：Project supported by the National Natural Science Foundation of China(Nos.11872044,11702192,and 11672187) the National Key Research and Development Program of China(No.2018YFB0106200) 

主　　题：fluid-structure interaction fluid-conveying corrugated pipe differential quadrature method (DQM) bifurcation flutter 

摘      要：The dynamics and stability of fluid-conveying corrugated pipes are investigated. The flow velocity is assumed to harmonically vary along the pipe rather than with time. The dimensionless equation is discretized with the differential quadrature method (DQM). Subsequently, the effects of the mean flow velocity and two key parameters of the corrugated pipe, i.e., the amplitude of the corrugations and the total number of the corrugations, are studied. The results show that the corrugated pipe will lose stability by flutter even if it has been supported at both ends. When the total number of the corrugations is sufficient, this flutter instability occurs at a micro flow velocity. These phenomena are verified via the Runge-Kutta method. The critical flow velocity of divergence is analyzed in detail. Compared with uniform pipes, the critical velocity will be reduced due to the corrugations, thus accelerating the divergence instability. Specifically, the critical flow velocity decreases if the amplitude of the corrugations increases. However, the critical flow velocity cannot be monotonously reduced with the increase in the total number of the corrugations. An extreme point appears, which can be used to realize the parameter optimization of corrugated pipes in practical applications.