Stability and nonlinear vibrations of a flexible pipe parametrically excited by an internal varying flow density
作者机构：State Key Laboratory of Hydraulic Engineering Simulation and SafetyTianjin UniversityTianjin30072China
出 版 物：《Acta Mechanica Sinica》 (力学学报（英文版）)
年 卷 期：2020年第36卷第1期
页 面：206-219页
核心收录：
学科分类：08[工学] 080101[工学-一般力学与力学基础] 0801[工学-力学（可授工学、理学学位）]
基 金：The authors are grateful to the National Natural Science Foundation of China(Grants 51679167 51979193 and 51608059)for financial support
主 题：Pipe Varying flow density Parametric excitation Stability Nonlinear vibrations
摘 要：Pipes are often used to transport multiphase flows in many engineering *** total fluid flow density inside a pipe may vary with time and *** this paper,a simply supported pipe conveying a variable density flow is modeled theoretically,and its stability and nonlinear vibrations are investigated in *** variation of the flow density is simulated using a mathematical *** equation governing the vibration of the pipe is derived according to Euler-Bernoulli beam *** the internal flow density varies with time,the pipe is excited *** stability of the pipe is determined by Floquet *** simple parametric and combination resonances are *** a higher mass ratio(mean flow mass/pipe structural mass),higher flow velocity,or smaller end axial tension,the pipe becomes unstable more easily due to wider parametric resonance *** the subcritical flow velocity regime,the vibrations of the pipe are periodic and quasiperiodic for simple and combination resonances,***,in the supercritical regime,the vibrations of the pipe exhibit much richer dynamics including periodic,multiperiodic,quasiperiodic,and chaotic behaviors.
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