In this paper, the free vibration analysis of a thin orthotropic plate made of pyroelectric material has been carried out and the frequencies are calculated using the Rayleigh-Ritz method. The initial disturbance has been made by the propagation of simple harmonic waves on the surface of the plate through an arbitrary angle. For the symmetric and antisymmetric modes of plane wave propagation, t...

An exact solution is obtained for the three-dimensional deformations of simply supported laminated rectangular thick plates with embedded shear mode piezoelectric actuators, subjected to mechanical and electrical loading on the upper and lower surfaces. Each layer of the laminate is made of either an orthotropic elastic material or a piezoelectric material whose poling direction lies in the pla...

In this paper, static and free vibrations behaviors of the orthotropic functionally graded material (FGM) plates resting on the two-parameter elastic foundation are analyzed by the a mesh-free method based on the first order shear deformation plate theory (FSDT). The mesh-free method is based on moving least squares (MLS) shape functions and essential boundary conditions are imposed by transfer...

Scale factors (SFs) are widely used in engineering applications to describe the stress concentration factor (SCF) of a finite width isotropic plate with a circular hole and under uniaxial loading. In this paper, these SFs were also found to be valid in an isotropic plate with biaxial loading and an isotropic cylinder with uniaxial loading or internal pressure, if a suitable hole to structure di...

The generalized integral transform technique (GITT) is employed to obtain an exact solution for the bending problem of fully clamped orthotropic rectangular plates. The use of the GITT approach in the analysis of the transverse deflection equation leads to a coupled system of fourth order differential equations in the dimensionless longitudinal spatial variable. The resulting transformed ODE sy...

A new elegant, powerful and accurate superposition method is presented for isotropic/specially orthotropic rectangular plates with arbitrary transverse load and arbitrary combination of free/simply-supported/clamped/guided/elastically supported edges. All the component solutions used here are infinite series equivalents of the complicated closed-form Levy-type solutions employed in the conventi...

In this work an alternative approach to the modelling of plates with a large number of holes, is presented. By means of plate theory, it is shown that perforated plates can be modelled by conventional orthotropic plates with modified elastic properties. The modification of the elastic constants is derived by equalising the strain-energy of the perforated and the orthotropic plate. The model obt...

We use the three-dimensional Hellinger}Reissner mixed variational principle to derive a Kth order (K"0, 1, 2,2) shear and normal deformable plate theory. The balance laws, the constitutive relations and the boundary conditions for the plate theory are deduced. The constitutive relations incorporate the shear and the normal tractions applied on the top and the bottom surfaces of the plate. For a...