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Free vibration of two-layered cross-ply laminated plates using layer-wise trigonometric shear deformation theory

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Title Free vibration of two-layered cross-ply laminated plates using layer-wise trigonometric shear deformation theory
 
Creator SHIMPI, RP
AINAPURE, AV
 
Subject multilayered composite plates
stress
models
beams
free vibration
shear deformation
rotary inertia
layer-wise theory
laminated thick plate
cross-ply plate
 
Description In this paper, variationally consistent layer-wise trigonometric shear deformation theory has been extended to deal with free vibration of two-layered laminated cross-ply plates. Governing differential equations are derived by making use of a displacement field which allows a sinusoidal variation of the in-plane displacements through the laminate thickness. In this displacement based theory, constitutive relations between shear-stress and shear-strains are satisfied in both the layers, and, therefore, shear correction factor is not required. Compatibility at the layer interface in respect of in-plane displacement and compatibility in respect of transverse shear-stress is satisfied, yet present theory contains fewer unknown variables than that of the first order shear deformation theory. Effects of rotary inertia and other inertias are also included. Efficacy of the present theory is demonstrated through illustrative examples.
 
Publisher SAGE PUBLICATIONS LTD
 
Date 2011-08-29T01:47:10Z
2011-12-26T12:58:19Z
2011-12-27T05:48:00Z
2011-08-29T01:47:10Z
2011-12-26T12:58:19Z
2011-12-27T05:48:00Z
2004
 
Type Article
 
Identifier JOURNAL OF REINFORCED PLASTICS AND COMPOSITES, 23(4), 389-405
0731-6844
http://dx.doi.org/10.1177/0731684404031893
http://dspace.library.iitb.ac.in/xmlui/handle/10054/11911
http://hdl.handle.net/10054/11911
 
Language en