In this paper, we consider a scalar wave equation on a thin, laminated, threedimensional plate. We show that if the plate is sufficiently thin, then there is a hierarchy of two-dimensional equations whose dynamics model the dynamics of the full plate, each of which successively lengthens the time interval over which the approximation holds.

It is well known that for laminated composite plates a Levy-type solution exists only for cross-ply and antisymmetric angle-ply laminates. Numerous investigators have used the Levy method to solve the governing equations of various equivalent single-layer plate theories. It is the intension of the present study to introduce a method for analytical solutions of laminated composite plates with ar...

The generalized plane strain quasi-static thermoelastic deformations of laminated anisotropic thick plates are analyzed by using the Eshelby±Stroh formalism. The laminated plate consists of homogeneous laminae of arbitrary thicknesses. The three-dimensional equations of linear anisotropic thermoelasticity simpli®ed to the case of generalized plane strain deformations are exactly satis®ed at eve...

An advantage of functionally graded materials (FGMs) over laminated composites is that material properties vary continuously in an FGM but are discontinuous across adjoining layers in laminated composites. Furthermore, in an FGM material, properties can be graded in all three directions which is more difficult to achieve in laminated composites. FGMs have been used for structural optimization, ...

This paper deals with a numerical technique for the identi®cation of damage on laminated structures. The numerical model is based on a ®rst-order shear deformation ®nite element. When the structure undergoes some kind of damage, its sti€ness is reduced, changing the dynamic response. By considering the sensitivities of the orthogonality conditions of the mode shapes, an algorithm is formulated,...

in this paper, the propagation of the waves in the laminated composite plates which is subjected to low velocity impact is investigated using the finite element method. a rigid metallic projectile with spherical nose is considered and the impact of this projectile with laminated composite is studied in this study. considering a finite element model the governing equations of the problem is disc...

In this paper, deformations of a laminated composite plate due to mechanical loads are presented. Third order shear deformation theory of plates, which is categorized in equivalent single layer theories, is used to derive linear dynamic equations of a rectangular multi-layered composite plate. Moreover, derivation of equations for FEM and numerical solutions for displacements and stress distrib...

this article deals with the buckling analysis of perfectly bonded cross-ply laminated composite plates reinforced by wavy carbon nanotubes (cnts) under in-plane loads using element free galerkin (efg) method based on first-order shear deformation theory (fsdt). the wavy single-walled cnts and poly-co-vinylene are used for the fibers and the matrix, respectively. the cnt fibers are distributed i...

The mining chute is an important equipment in the process of coal transportation and coal screening preparation. During the working process, the mining chute will generate a lot of vibration and noise because of constantly friction and impact of gangue and coal blocks. In order to reduce the vibration and noise during the operation of the chute, a new type of foam aluminum laminated structure i...

The main focus of this paper is on efficiency analysis of two kinds of approximating functions (characteristic orthogonal polynomials and characteristic beam functions) that have been applied in the Rayleigh-Ritz method to determine the non-dimensional buckling and frequency parameters of an angle ply symmetric laminated composite plate with fully elastic boundaries. It has been observed that o...