Vibration and stability analysis of axially moving beams with variable speed and axial force

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Date

2014

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Journal Title

Journal ISSN

Volume Title

Publisher

World Scientific Publishing Co. Pte Ltd

Abstract

The well-known vibration model of axially moving beam is considered. Both axial moving speed and axial force are assumed to vary harmonically. The Method of Multiple Time Scales (a perturbation method) is used. The natural vibrations of beam are considered for different values of beam parameters. Resonances are obtained for seven different conditions. Solvability conditions for each resonance case are found analytically. Effects of transport velocity, axial force, rigidity and damping are discussed. Stability analysis are obtained for principal parametric resonances. Stable and unstable regions are obtained regarding velocity and force effects separately and together. © 2014 World Scientific Publishing Company.

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Keywords

Convergence of numerical methods , Perturbation techniques , Resonance , Axially moving beams , Multiple time scale , Perturbation method , Principal parametric resonance , Solvability conditions , Stability analysis , Transport velocity , Vibrations , Axial flow

Citation

URI

http://akademikarsiv.cbu.edu.tr:4000/handle/123456789/16888

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