In the present paper, the buckling problem of rectangular functionally graded (FG) plate with arbitrary edge supports is investigated. The present analysis is based on the classical plate theory (CPT) and large deformation is assumed for deriving stability equations. The plate is subjected to bi-axial compression loading. Mechanical properties of FG plate are assumed to vary continuously along ...

the current study presents a new analytical method for buckling analysis of rectangular and annular beams made up of functionally graded materials with constant thickness and poisson’s ratio. the boundary conditions of the beam are assumed to be simply supported and clamped. the stability equations were obtained by using conservation of energy. the critical buckling load and first mode shape we...

The objective of this manuscript is to develop, for the first time, a mathematical model prediction buckling, postbuckling, and nonlinear bending imperfect bio-inspired helicoidal composite beams with rotation angle. equilibrium integrodifferential equations (curved) are derived from Euler–Bernoulli kinematic assumption. differential integral quadrature method (DIQM) Newton-iterative employed e...

the buckling analysis of annular composite plates reinforced by carbon nanotubes subjected to compressive and torsional loads are studied in this paper. the mori-tanaka method is employed to calculate the effective elastic modulus of composites having aligned oriented straight cnts. the effects of cnts volume fractions, orientation angles, boundary conditions and geometric ratio of plate are di...

in this paper deflection and free vibration of sandwich panel is studied. the core of sandwich panels is made of hexagonal honeycomb and faces are made of two different materials of carbon fiber reinforced plastic and k-aryl/epoxy covering. the governing equations are deduced from the first order sheer deformation theory (fsdt) and they are solved using generalized differential quadrature metho...

A semi-analytical approach to the elastic nonlinear stability analysis of rectangular plates is developed. Arbitrary boundary conditions and general out-of-plane and in-plane loads are considered. The geometrically nonlinear formulation for the elastic rectangular plate is derived using the thin plate theory with the nonlinear von Kármán strains and the variational multi-term extended Kantorovi...

In this paper, a combination method has been developed by coupling Multi-Objective Genetic Algorithms (MOGA) and Finite Element Method (FEM). This method has been applied for determination of the optimal stacking sequence of laminated composite plate against buckling. The most important parameters in optimization of a laminated composite plate such as, angle, thickness, number, and material of ...

This paper is aimed to present the Global Thin Plate Spline Differential Quadrature method for numerical solution of viscous Burgers’ equation. mesh-less and high-order model introduced with motive diminishing computational effort dealing irregular geometries. Radial basis function used as a test determine coefficients derivatives in differential quadrature. The algorithm applied discretize sol...