On the free vibration analysis of laminated composite and sandwich plates: A review of recent literature with some numerical results

A semi-analytical DQEM for free vibration analysis of thick plates with two opposite edges simply supported

In this study, vibration behaviors of stepped plates are investigated based on the variational principle of minimum total energy and the extended Kantorovich method. The out-of-plane displacement is represented by a separable function of parameters x and y. A set of governing equations, boundary conditions, and continuity conditions in the form of ordinary differential equations are derived from the energy condition. The natural frequency and out-of-plane displacement function can be determined numerically from the derived equations and conditions. Solutions from the proposed approach are in good agreement with results from past studies and those of the finite element method.

Vibration analysis of stepped rectangular plates using the extended Kantorovich method

An analytical study of vibration response of a beam stiffened Mindlin plate

An attempt has been made to perform a comparative study on advances in the shear deformation theory for analyzing the statics and dynamics of different plates with the use of numerical examples. Initially, shape functions for the displacement field across the plate thickness are compared, and then, the stresses, deflections, and natural frequencies of laminated composite plates are also compared.

P.V. Hull

Papers

Vibration of moderately thick square orthotropic stepped thickness plates