This study explored the free vibration problem in relation to glass fiber reinforced polymer (GFRP) plates with central cutouts and free boundaries using theoretical, experimental, and numerical methods. The theoretical formulations were derived from the classical lamination plate theory. The rectangular cutout was mathematically modeled into the stiffness matrix of the plate by multiplying Hea...

Free bending vibration analysis of the functionally graded viscoelastic circular sandwich plates is accomplished in the present paper, for the first time. Furthermore, local shear corrections factors are presented that may consider simultaneous effects of the gradual variations of the material properties and the viscoelastic behaviors of the materials, for the first time. Moreover, in contrast ...

This study analysed the stress and displacement responses of an all-clamped rectangular thick plate subjected to a uniformly distributed load using polynomial functions. A shear deformation function was incorporated in determination general governing equations; hence, there is no need for correction factors. Approximate Polynomial Displacement Functions w, u, v all clamped plates subject transv...

A three-dimensional exact solution is presented for free and forced vibrations of simply supported functionally graded rectangular plates. Suitable displacement functions that identically satisfy boundary conditions are used to reduce equations governing steady state vibrations of a plate to a set of coupled ordinary differential equations, which are then solved by employing the power series me...

in this paper, asymmetric buckling analysis of functionally graded (fg) circular plates with temperature dependent property that subjected to the uniform radial compression and thermal loading is investigated. this plate is on an elastic medium that simulated by winkler and pasternak foundation. mechanical properties of the plate are assumed to vary nonlinearly by temperature change. the equili...

In this study, the small scale effect on the linear free-field vibration of a nano-circular plate has been investigated using nonlocal elasticity theory. The formulation is based on the classical theory and the linear strain in cylindrical coordinates. To take into account the small scale and the linear geometric effects, the governing differential equation based on the nonlocal elasticity theo...

For a number of materials used in modern practice, calculations according to the classical theory elasticity give incorrect results. To ensure reliable operation structures, there is need for new theories. At present, particular interest practical applications asymmetric moment elasticity. In work, by method hypotheses, three-dimensional equations are reduced plates. The hypotheses plates formu...

This paper presents a novel quasi-three-dimensional shear deformation theory called the spectral displacement formulation (SDF) for analyzing free vibration of functionally graded plates. The SDF expresses unknown field as unique form Chebyshev series in thickness direction. By increasing truncation number series, bending analysis results can approach three-dimensional elasticity solution and s...

ABSTRM'I. This work is devoted to the analysis of a class of nonlinear shallow shell problems. First we recall the classical nonlinear shallow shell equations of W. T. Koiter b'lsed on a representation of the middle surface of the shell by a general system of curvilinear coordinates. Next. we prove an e~istencc Theorem for solutions of these equations using the theory of pseudo,monotone operalo...

In this paper, transfinite element method is used to analyze the two dimensional thermoelasticity problems. A comparison is made between the thermoelastic analysis results of the classical theory and theories with one or two relaxation times (i.e. L-S and G-L theories), for the half space problem. Governing equations are transformed to Laplace domain and then, node variables are calculated by t...