An exact analytical approach for in-plane and out-of-plane free vibration analysis of thick laminated transversely isotropic plates
Journal article, 2012

In this article, the governing equations of motion of thick laminated transversely isotropic plates are derived based on Reddy's third-order shear deformation theory. These equations are exactly converted to four uncoupled equations to study the in-plane and out-of-plane free vibrations of thick laminated plates without any usage of approximate methods. Based on the present analytical approach, exact Levy-type solutions are obtained for thick laminated transversely isotropic plates and, for some boundary conditions, the exact characteristic equations hitherto not reported in the literature are given. Also, the in-plane and out-of-plane deformed mode shapes are plotted for different boundary conditions. The present solutions can accurately predict both the in-plane and out-of-plane natural frequencies and mode shapes of thick laminated transversely isotropic plates.

Exact analytical procedure

Third-order shear deformation theory

Free vibration

In-plane and out-of-plane modes

Thick laminated plates


S.H. Hashemi

Rasoul Atashipour

M. Fadaee

Archive of Applied Mechanics

0939-1533 (ISSN) 1432-0681 (eISSN)

Vol. 82 5 677-698

Subject Categories

Applied Mechanics

Other Civil Engineering

Building Technologies

Composite Science and Engineering



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