The aim of this study is performing free vibration analysis segmented Timoshenko beams on two parameter elastic foundation by using the transfer matrix method (TMM). Pasternak model which has an incompressible shear layer vertical elements attached to Winkler springs was considered. formulations are based closed-form solutions equations motion were obtained. natural frequencies calculated equat...

Convergence studies for the static analysis of thin plates resting on Pasternak foundations is performed. The are discretized using two different finite elements, formulations which based Kirchhoff and Reissner-Mindlin plate theories. shear locking problem arises when full integration used in element implementation theory eliminated with selective integration. foundation accounted by adding par...

This paper presents new exact 3-D (three-dimensional) elasticity closed-form solutions for out-of-plane free vibration of thick rectangular single layered FG (functionally graded) plates and thick rectangular homogeneous plate coated by a functionally graded layer with simply supported boundary conditions. It is assumed that the plate is on a Winkler-Pasternak elastic foundation and elasticity ...