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Vibration and Stability of an Axially Moving Viscoelastic Beam with Hybrid Supports by Li-Qun Chen; Xiao-Dong Yang is a Engineering article available to read on EtoBox.

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Vibration and stability are investigated for an axially moving beam constrained by simple supports with torsion springs. A scheme is proposed to derive natural frequencies and modal functions from given boundary conditions of an elastic beam moving at a constant speed. For a beam constituted by the Kelvin model, effects of viscoelasticity on the free vibration are analyzed via the method of multiple scales and demonstrated via numerical simulations. When the axial speed is characterized as a simple harmonic variation about the constant mean speed, the instability conditions are presented for axially accelerating viscoelastic beams in parametric resonance. Numerical examples show the effects of the constraint stiffness, the mean axial speed, and the viscoelasticity.

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Author

Li-Qun Chen; Xiao-Dong Yang

Publisher

Elsevier Science; Elsevier ; Elsevier BV (ISSN 0997-7538)

Published

2006

Language

EN

Field

Engineering (Physical Sciences)