The generalized integral transform technique (GITT) is employed to obtain an exact solution for the bending problem of fully clamped orthotropic rectangular plates. The use of the GITT approach in the analysis of the transverse deflection equation leads to a coupled system of fourth order differential equations in the dimensionless longitudinal spatial variable. The resulting transformed ODE sy...

In the present study, a vibration analysis of functionally graded rectangular nano-/microplates was considered based on modified nonlinear coupled stress exponential and trigonometric shear deformation plate theories. Modified coupled stress theory is a non-classical continuum mechanics theory. In this theory, a material-length scale parameter is applied to account for the effect of nanostructu...

This paper presents a differential quadrature solution for analysis of transverse vibrations of non-homogeneous rectangular orthotropic plates of linearly varying thickness resting on Winkler foundation. Following Lévy approach i.e. two parallel edges are simply supported, the governing equation of motion has been solved for three different combinations of clamped, simply supported and free bou...

In this paper, wave propagation approach is used to analysis the free vibration and buckling analysis of the thick rectangular plates based on higher order shear deformation plate theory. From wave viewpoint, vibrations can be considered as traveling waves along structures. Waves propagate in a waveguide and reflect at the boundaries. It is assumed that the plate has two opposite edge simply su...

The motivation for the present study stems from the importance of delamination buckling as a viable mode of failure in laminated composite plates. This part of the study focuses on the prediction of the buckling loads and modes of unilaterally constrained rectangular plates. The laminated plates were modeled along the lines of classical lamination plate theory. Due to the out-of-plane thickness...

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 research, the bending analysis of rectangular nanoplates subjected to mechanical loading is investigated. For this purpose, the strain gradient elasticity theory with one gradient parameter is presented to study the nanoplates. From the best knowledge of authors, it is the first time that the exponential shear deformation formulation based on strain gradient elasticity theory is carried...

Выполнен линейный расчет напряженно-деформированного состояния тонких пластин численным методом, базирующемся на использовании мультиквадратических радиальных базисных функций. Показано, что данный метод оказывается весьма гибким при расчетах объектов со сложной геометрией, поскольку не требует сеточного разбиения и нечувст­ вителен к их пространственным координатам. Полученные численные резуль...

This paper presents an investigation into the performance evaluation of Finite Difference (FD) method in modeling a rectangular thin plate structure. In case of complex and big construction systems subjected to the arbitrary loads, including a complex boundary conditions, solving of differential equations by analytical methods is almost impossible. Then the solution is application of numerical ...

−− In the present study, a methodology to find natural frequencies with arbitrary precision of thin rectangular plates on linear intermediate supports and mixed boundary conditions is presented. This means that the edges are total or partially supported, clamped or free, or any combination of these. The layout, number and place of linear intermediate supports are arbitrary, which allows for the...