Exact free vibration analysis of axially moving viscoelastic plates

Hatami, S., Ronagh, H.R. and Azhari, M. (2008) Exact free vibration analysis of axially moving viscoelastic plates. Computers & Structures, 86 17-18: 1738-1746. doi:10.1016/j.compstruc.2008.02.002

Author Hatami, S.
Ronagh, H.R.
Azhari, M.
Title Exact free vibration analysis of axially moving viscoelastic plates
Journal name Computers & Structures   Check publisher's open access policy
ISSN 0045-7949
Publication date 2008-01-01
Year available 2008
Sub-type Article (original research)
DOI 10.1016/j.compstruc.2008.02.002
Open Access Status DOI
Volume 86
Issue 17-18
Start page 1738
End page 1746
Total pages 9
Editor Topping, B.H.V
Bathe, K.J
Place of publication United Kingdom
Publisher Pergamon
Language eng
Subject C1
87 Construction
0905 Civil Engineering
Abstract In this paper, an exact finite strip method is developed for the free vibration analysis of axially moving viscoelastic plates. Using the differential equation that governs the vibration of plates traveling at a constant axial speed, and utilizing the rheological models to model the viscoelastic behavior of materials, the exact stiffness matrix of a finite strip of plate is extracted in the frequency domain. Terms of this matrix are implicit functions of the eigenvalues of free vibration, in-plane forces, viscoelasticity parameters, axial speed and the geometry of the plate. By assembling the stiffness matrices of these finite strips, the global stiffness matrix of a plate moving on intermediate rollers is obtained, from which the eigenvalues defining the free vibration of the plate are extracted within the domain of complex numbers using a suitable algorithm. These values (that represent the exact frequencies of the plate vibration and damping) can be used as a benchmark to evaluate the accuracy of other numerical techniques. Finally, by presenting a set of numerical examples, the effects of axial speed and viscoelastic parameters on the free vibration of moving plates are examined in this paper.
Keyword Axially moving
Exact solution
Finite strip method (FSM)
Free vibration
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: 2009 Higher Education Research Data Collection
School of Civil Engineering Publications
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Created: Fri, 27 Mar 2009, 20:24:34 EST by Katherine Montagu on behalf of School of Civil Engineering