Bending of Cross-Ply Laminated Clamped Plates Using Lagrange Multipliers
Abstract
The application of the Lagrange multiplier method to the bending analysis of laminated cross-ply clamped plates is described. Transverse shear deformation effects are incorporated in the energy functional. Boundary conditions not satisfied by the assumed series expressions are enforced by Lagrange multipliers. A variety of results are presented for symmetric and antisymmetric cross-ply plates with clamped boundary conditions to demonstrate the effect of anisotropy, plate geometry and span-to-depth ratios on the deflections. Closed form solutions are not tractable for laminated clamped plates and the results of the present methodology can be used as a reference for other approximate solutions.
Recommended Citation
K. Chandrashekhara et al., "Bending of Cross-Ply Laminated Clamped Plates Using Lagrange Multipliers," Composite Structures, Elsevier, Jan 1990.
The definitive version is available at https://doi.org/10.1016/0263-8223(90)90006-Z
Department(s)
Mechanical and Aerospace Engineering
International Standard Serial Number (ISSN)
0263-8223
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 1990 Elsevier, All rights reserved.
Publication Date
01 Jan 1990
