Free vibration analysis of laminated plates using a layerwise theory
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Reddy’s layerwise theory is used to perform free-vibration analysis of laminated plates. This theory is the most current and sophisticated theory in which full account is given to various three-dimensional effects. The results obtained from this theory are compared with those obtained from a full-fledged three-dimensional elasticity analysis and various equivalent single-layer theories that are available. These include the classical laminated plate theory (CLPT), the first-order shear deformation laminated plate theory (FSDPT), and the third-order shear deformation plate theory (THSDPT). The elasticity equations are solved by utilizing the state-space variables and the transfer matrix. A detailed analysis is carried out, by uncoupling the Navier equations, to study the various mode shapes and natural frequencies of a homogeneous transversely isotropic plate. Results are also obtained for symmetric and antisymmetric cross-ply laminates. © 1993 American Institute of Aeronautics and Astronautics, Inc., All rights reserved.
author list (cited authors)
Nosier, A., Kapania, R. K., & Reddy, J. N.