Vibration and Stability Analysis of Axially Moving Beams with Variable Speed and Axial Force-Reference-Cited by-同舟云学术

Vibration and Stability Analysis of Axially Moving Beams with Variable Speed and Axial Force

Published:2014-06-24 Issue:06 Volume:14 Page:1450015
ISSN:0219-4554
Container-title:International Journal of Structural Stability and Dynamics
language:en
Short-container-title:Int. J. Str. Stab. Dyn.

Author:

Özhan Bozkurt Burak¹²

Affiliation:

1. Department of Mechanical Engineering, Applied Mathematics and Computation Center, Celal Bayar University, 45140, Muradiye, Manisa, Turkey

2. Department of Mechanical Engineering, Texas A&M University, College Station, TX 77843, USA

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Mechanical Engineering,Ocean Engineering,Aerospace Engineering,Building and Construction,Civil and Structural Engineering

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219455414500151

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