Supercritical Nonlinear Vibration of a Fluid-Conveying Pipe Subjected to a Strong External Excitation
Joint Authors
Chen, Liqun
Zhang, Yan-Lei
Feng, Hui-Rong
Source
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-12-24
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
Nonlinear vibration of a fluid-conveying pipe subjected to a transverse external harmonic excitation is investigated in the case with two-to-one internal resonance.
The excitation amplitude is in the same magnitude of the transverse displacement.
The fluid in the pipes flows in the speed larger than the critical speed so that the straight configuration becomes an unstable equilibrium and two curved configurations bifurcate as stable equilibriums.
The motion measured from each of curved equilibrium configurations is governed by a nonlinear integro-partial-differential equation with variable coefficients.
The Galerkin method is employed to discretize the governing equation into a gyroscopic system consisting of a set of coupled nonlinear ordinary differential equations.
The method of multiple scales is applied to analyze approximately the gyroscopic system.
A set of first-order ordinary differential equations governing the modulations of the amplitude and the phase are derived via the method.
In the supercritical regime, the subharmonic, superharmonic, and combination resonances are examined in the presence of the 2 : 1 internal resonance.
The steady-state responses and their stabilities are determined.
The various jump phenomena in the amplitude-frequency response curves are demonstrated.
The effects of the viscosity, the excitation amplitude, the nonlinearity, and the flow speed are observed.
The analytical results are supported by the numerical integration.
American Psychological Association (APA)
Zhang, Yan-Lei& Feng, Hui-Rong& Chen, Liqun. 2015. Supercritical Nonlinear Vibration of a Fluid-Conveying Pipe Subjected to a Strong External Excitation. Shock and Vibration،Vol. 2016, no. 2016, pp.1-21.
https://search.emarefa.net/detail/BIM-1119064
Modern Language Association (MLA)
Zhang, Yan-Lei…[et al.]. Supercritical Nonlinear Vibration of a Fluid-Conveying Pipe Subjected to a Strong External Excitation. Shock and Vibration No. 2016 (2016), pp.1-21.
https://search.emarefa.net/detail/BIM-1119064
American Medical Association (AMA)
Zhang, Yan-Lei& Feng, Hui-Rong& Chen, Liqun. Supercritical Nonlinear Vibration of a Fluid-Conveying Pipe Subjected to a Strong External Excitation. Shock and Vibration. 2015. Vol. 2016, no. 2016, pp.1-21.
https://search.emarefa.net/detail/BIM-1119064
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1119064