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...

Mechanical buckling response of isotropic and orthotropic plates using the two variable refined plate theory is presented in this paper. The takes account transverse shear effects parabolic distribution strains through thickness plate; hence it unnecessary to use correction factors. Governing equations are derived from principle virtual displacements. nonlinear strain-displacement Von Karman re...

A theoretical analysis of the buckling mono-axially compressed rectangular grid is carried out. The composed two orthogonal orders continuous beams, simply supported at ends. critical load determined by different models: (i) Kirchhoff’s homogeneous orthotropic plate, and (ii) a system solved Rayleigh-Ritz method. Parametric studies are out numerical examples developed. analytical solutions vali...

Abstract Free vibrations of the orthotropic micro/nanoplate with nonclassical shape are investigated. The considered model is based on nonlocal elasticity theory. developed method uses Ritz as well R-function theory for construction system coordinate functions. linear frequencies obtained a rectangular plate two cutouts opposite sides, while boundary conditions several types, including simply s...

The study is devoted to the development of bimoment theory and method for calculating thick plates in framework three-dimensional elasticity. basic relations equations motion plate presented are constructed with respect forces, moments bimoments arising from nonlinearity law distribution displacements stresses over thickness. Bending vibrations isotropic orthotropic considered an example calcul...

Axisymmetric vibrations of a statically buckled polar orthotropic circular plate due to uniform temperature rise have been studied numerically. Effects of geometric nonlinearities have been incorporated into the problem formulation. The problem is challenging because the buckled configuration is unknown a priori. By assuming that the amplitude of plate’s vibration and the additional strains ind...