چكيده لاتين :
It is well known that for laminated composite plates a Levy-type solution exists only for cross-ply
and antisymmetric angle-ply laminates. Numerous investigators have used the Levy method to
solve the governing equations of various equivalent single-layer plate theories. It is the intension
of the present study to introduce a method for analytical solutions of laminated composite plates
with arbitrary lamination and boundary conditions subjected to transverse loads. The method is
based on separation of spatial variables of displacement field components. Within the
displacement field of a first-order shear deformation theory (FSDT), a laminated plate theory is
developed. Two systems of coupled ordinary differential equations with constant coefficients are
obtained by using the principle of minimum total potential energy. Since the procedure used is
simple and straightforward it can, therefore, be adopted in developing higher-order shear
deformation and layerwise laminated plate theories. The obtained equations are solved analytically
using the state-space approach. The results obtained from the present method are compared with
the Levy-type solutions of cross-ply and antisymmetric angle-ply laminates with various
admissible boundary conditions to verify the validity and accuracy of the present theory. Also for
other laminations and boundary conditions that there exist no Levy-type solutions the present
results may be compared with those obtained from finite element method. It is seen that the
present results have excellent agreements with those obtained by Levy-type method.
