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...

A homogeneous, isotropic plate occupies the region 0 x1 ∞, |x2| a, |x3| h, where the semi-thickness h = h(x2). The ratio h(x2)/a is supposed to be everywhere sufficiently small so that the classical theory of bending of thin plates (of non-uniform thickness) applies. The short end of the plate at x1 = 0 is clamped while the long sides are free. This cantilever plate is now loaded at x1 = +∞ by ...

A three-dimensional stress-concentration analysis was conducted on straight-shank and countersunk (rivet) holes in a large plate subjected to various loading conditions. Three-dimensional nite-element analyses were performed with 20-node isoparametric elements. The plate material was assumed to be linear elastic and isotropic, with a Poisson's ratio of 0.3. Stress concentrations along the bore ...

In this paper the effects of circular and elliptical cutout on the buckling behavior of a sixteen ply quasi-isotropic graphite/epoxy symmetrically laminated rectangular composite plate [0°/+45°/45°/90°]2s, subjected to various linearly varying in-plane compressive loads, numerically. Further, this paper addresses the effects of size of elliptical cutout, orientation of elliptical cutout, plate ...

Thickness-shear vibrations of a plate is one of the most widely used functioning modes of quartz crystal resonators. For an analysis of vibrations, the Mindlin and Lee plate theories based on the displacement expansion of the thickness coordinate have been used as the linear theories. However, due to lacking of available method and complexity of the problem, the nonlinear thickness-shear vibrat...

In this work, the general solution of differential equation for bending a thin isotropic plate under action normal load applied to its plane is constructed by superposition method. The solutions obtained method initial functions in form trigonometric series are taken as two solutions, each which allows satisfying boundary conditions on opposite sides plate. Two ways clamped studied: expansion i...

Flexural wave speeds on beams or plates depend upon the bending stiffnesses which differ by the well-known factor (1 - nu2). A quantitative analysis of a plate of finite lateral width displays the plate-to-beam transition, and permits asymptotic analysis that shows the leading order dependence on the width. Orthotropic plates are analyzed using both the Kirchhoff and Kirchhoff-Rayleigh theories...

The functionally graded materials (FGM) have many advantages especially in thermal environments, and in the recent years they have been used in many engineering applications. A FGM plate is an inhomogeneous composite made of two constituents (usually ceramic and metal), with both the composition and the material properties varying smoothly through the thickness of the plate. The FGM plate vibra...

An analysis of the propogation of thermoelastic waves in a homogeneous, anisotropic, thermally conducting plate has been presented in the context of the generalized Lord-Shulman theory of thermoelasticity. Three different methods are used in this analysis: two of them are exact and the third is a semianalytic finite element method (SAFE). In our exact analysis, two different approaches are used...