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Parametric Vibration Analysis of Pipes Conveying Fluid by Nonlinear Normal Modes and a Numerical Iterative Approach

Parametric Vibration Analysis of Pipes Conveying Fluid by Nonlinear Normal Modes and a Numerical Iterative Approach
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Year:    2019

Author:    Feng Liang, Xiaodong Yang, Wei Zhang, Yingjing Qian, Roderick V. N. Melnik

Advances in Applied Mathematics and Mechanics, Vol. 11 (2019), Iss. 1 : pp. 38–52

Abstract

Nonlinear normal modes and a numerical iterative approach are applied to study the parametric vibrations of pipes conveying pulsating fluid as an example of gyroscopic continua. The nonlinear non-autonomous governing equations are transformed into a set of pseudo-autonomous ones by employing the harmonic balance method. The nonlinear normal modes are constructed by the invariant manifold method on the state space and a numerical iterative approach is adopted to obtain numerical solutions, in which two types of initial conditions for the modal coefficients are employed. The results show that both initial conditions can lead to fast convergence. The frequency-amplitude responses with some modal motions in phase space are obtained by the present iterative method. Quadrature phase difference and traveling waves are found in the time-domain complex modal analysis.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/aamm.OA-2018-0064

Advances in Applied Mathematics and Mechanics, Vol. 11 (2019), Iss. 1 : pp. 38–52

Published online:    2019-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    15

Keywords:    Gyroscopic continua pipes conveying pulsating fluid parametric vibration nonlinear normal modes iterative approach.

Author Details

Feng Liang

Xiaodong Yang

Wei Zhang

Yingjing Qian

Roderick V. N. Melnik

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