Bending of Cross-Ply Laminated Clamped Plates Using Lagrange Multipliers
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.
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 http://dx.doi.org/10.1016/0263-8223(90)90006-Z
Mechanical and Aerospace Engineering
Article - Journal
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