In the present work, a finite element model is proposed to describe the response of isotropic and orthotropic beams with piezoelectric actuators due to applied mechanical loads as well as electrical load. The assumed field displacements of the beams are represented by First-order Shear Deformation Theory (FSDT), the Timoshenko beam theory. The equation of motion of the smart beam system is deri...

Using multi-layers method (MLM), a semi-analytical solution have been derived for determination of displacements and stresses in a thick cylindrical shell with variable thickness under non-uniform pressure. Three different profiles (convex, linear and concave) are considered for the variable thickness cylinder. Given the existence of shear stress in the thick cylindrical shell due to thickness ...

The nonlinear steady state large amplitude forced vibration response of a laminated composite annular sector plate is presented. governing equation motion the has been obtained using kinematics first-order shear deformation theory (FSDT) and employing Hamilton’s principle. equations have solved in time domain modified shooting method arc-length/pseudo-arc length continuation technique. influenc...

In this work, the free vibration behaviour of A357 composite plate reinforced with dual particle size (DPS) (3 wt. coarse + 3 fine, 4 2 and fine) SiC is evaluated using finite element method. To end, first-order shear deformation theory (FSDT) has been used. The equations motion have derived Hamilton's principle solution obtained through condensation technique. A thorough parametric study was c...

We use the first-order shear deformation theory (FSDT) coupled with the finite element method (FEM) to study free vibrations of a functionally graded (FG) anisotropic rectangular plate with the objective of maximizing one of its first five natural frequencies. The following edge conditions are considered: (i) all edges clamped, (ii) all edges simply supported, (iii) two opposite edges clamped a...

This paper investigates nonlinear bending and buckling behaviours of composite plates characterized by a thickness variation. Layer interfaces are described as functions of inplane coordinates. Top and bottom surfaces of the plate are symmetric about the midplane and the plate could be considered as a flat surface in analysis along with thickness parameters which vary over the plate. The variab...

A new simple and accurate four-node quadrilateral element is developed for linear static and dynamic analysis of thin to moderately thick laminated, anisotropic plate/shell structures within the first-order shear deformation theory (FSDT). The element is built by incorporating the strain smoothing method of mesh-free conforming nodal integration into the conventional bilinear four-node quadrila...

In this study, nonlinear bending of solid and annular functionally graded (FG) sector plates subjected to transverse mechanical loading and thermal gradient along the thickness direction is investigated. Material properties are varied continuously along the plate thickness according to power-law distribution of the volume fraction of the constituents. According to von-Karman relation for large ...

In this paper, nonlinear analytical solution of pressurized thick cylindrical shells with variable thickness made of hyperelastic materials is presented. The governing equilibrium equations for the cylindrical shell with variable thickness under non-uniform internal pressure are derived based on first-order shear deformation theory (FSDT). The shell is assumed to be made of isotropic and homoge...