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

DOI10.4208/aamm.OA-2018-0064zbMath1488.70026WikidataQ128362090 ScholiaQ128362090MaRDI QIDQ5156634

Feng Liang, Wei Zhang, Ying-Jing Qian, Xiao-Dong Yang, Roderick V. Nicholas Melnik

Publication date: 11 October 2021

Published in: Advances in Applied Mathematics and Mechanics (Search for Journal in Brave)

zbMATH Keywords

nonlinear normal modesiterative approachparametric vibrationpipes conveying pulsating fluidgyroscopic continua

Mathematics Subject Classification ID

Iteration theory, iterative and composite equations (39B12) Parametric resonances for nonlinear problems in mechanics (70K28) Nonlinear modes (70K75)

Related Items (2)

Vibration of fluid-conveying pipe with nonlinear supports at both ends ⋮ Nonlinear resonant responses, mode interactions, and multitime periodic and chaotic oscillations of a cantilevered pipe conveying pulsating fluid under external harmonic force

Cites Work

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• Application of the differential transformation method to vibration analysis of pipes conveying fluid
• Nonlinear dynamics of supported pipe conveying pulsating fluid. I: Subharmonic resonance
• Free vibrations analysis of a rotating shaft with nonlinearities in curvature and inertia
• Principal parametric resonances of a general continuous system with cubic nonlinearities
• Flow-induced internal resonances and mode exchange in horizontal cantilevered pipe conveying fluid. I
• Flow-induced internal resonances and mode exchange in horizontal cantilevered pipe conveying fluid. II
• Classical Vibration Analysis of Axially Moving Continua
• TRANSIENT VIBRATION OF GYROSCOPIC SYSTEMS WITH UNSTEADY SUPERPOSED MOTION
• Normal Modes for Non-Linear Vibratory Systems
• Bifurcation behavior of nonlinear pipes conveying pulsating flow

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