A non-discretized global method for free vibration of generally laminated fibre-reinforced pre-twisted cantilever plates

He, LH, Lim, CW and Kitipornchai, S (2000) A non-discretized global method for free vibration of generally laminated fibre-reinforced pre-twisted cantilever plates. Computational Mechanics, 26 2: 197-207. doi:10.1007/s004660000167


Author He, LH
Lim, CW
Kitipornchai, S
Title A non-discretized global method for free vibration of generally laminated fibre-reinforced pre-twisted cantilever plates
Journal name Computational Mechanics   Check publisher's open access policy
ISSN 0178-7675
Publication date 2000
Sub-type Article (original research)
DOI 10.1007/s004660000167
Volume 26
Issue 2
Start page 197
End page 207
Total pages 11
Place of publication New York, NY
Publisher Springer-Verlag
Collection year 2000
Language eng
Subject C1
299904 Engineering/Technology Instrumentation
671401 Scientific instrumentation
Abstract The paper presents a computational method for characterizing the resonant frequency properties of cantilever pre-twisted plates composed of fibre-reinforced laminated composites. It aims to simulate a laminated turbomachinery blade or a fan blade with a relatively small aspect ratio for which the conventional beam model fails to provide accurate solutions. The strain and kinetic energy components are expressed in area integration equations with respect to the plate mid-surface. An energy functional is defined and a governing eigenvalue equation is derived. There is no domain mesh generation in the numerical analysis thus reducing accuracy loss due to discretization. New numerical solutions are presented and the effects of angle of pre-twist, aspect ratio, and symmetric and antisymmetric lamination for two different composite laminates are analyzed in detail. The limit of linear twisting curvature omitted in previous analysis is strictly adopted here and the consequences of exceeding the limit are discussed.
Keyword Mathematics, Interdisciplinary Applications
Mechanics
Flexural Vibration
Ritz Formulation
Planform
Q-Index Code C1

Document type: Journal Article
Sub-type: Article (original research)
Collection: School of Civil Engineering Publications
 
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Created: Tue, 10 Jun 2008, 12:15:17 EST