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Higher-order closed-form solutions for free vibration of laminated composite and sandwich shells

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Title Higher-order closed-form solutions for free vibration of laminated composite and sandwich shells
 
Creator GARG, AK
KHARE, RK
KANT, T
 
Subject circular cylindrical-shells
shear deformation
natural frequencies
shallow shells
refined theory
plates
element
stability
free vibration
higher-order shear deformation theory
composite and sandwich laminates
plates and shells
cross-ply laminates
 
Description Closed-form formulations of two-dimensional (2D) higher-order shear deformation theories (HOSTs) for the free vibration analysis of simply supported cross-ply laminated composite and sandwich doubly curved shells are presented. The formulation includes the Sander's theory for doubly curved shells. Two of the HOSTs account for the effects of both transverse shear strains/stresses and the transverse normal strain/stress, while the third includes only the effects of transverse shear deformation. In these developments a realistic parabolic distribution of transverse shear strains through the shell thickness is assumed. The equations of motion are obtained using Hamilton's principle. Solutions are obtained in closed-form using Navier's technique and by solving the eigenvalue equations. Numerical results are presented for the natural frequencies of laminated composite and sandwich shallow shells. The closed-form solutions presented herein for laminated composite plates and shells are compared with the available 3D elasticity and analytical solutions and it is believed that the solutions for sandwich laminates using. various higher-order displacement models will serve as benchmark in future.
 
Publisher SAGE PUBLICATIONS LTD
 
Date 2011-08-29T01:58:25Z
2011-12-26T12:58:19Z
2011-12-27T05:48:01Z
2011-08-29T01:58:25Z
2011-12-26T12:58:19Z
2011-12-27T05:48:01Z
2006
 
Type Article
 
Identifier JOURNAL OF SANDWICH STRUCTURES & MATERIALS, 8(3), 205-235
1099-6362
http://dx.doi.org/10.1177/1099636206062569
http://dspace.library.iitb.ac.in/xmlui/handle/10054/11914
http://hdl.handle.net/10054/11914
 
Language en