On bending of elastic plates

On Bending of Elastic Plates*

Symmetrical Bending of Thin Circular Elastic Plates on Equally Spaced Point Supports

The determination of bending moments, tWlstmg moments, and shearing forces in a thin circular elastic plate subjected to symmetrical bending is a problem which is often encountered in the design and analysis of structural elements or systems. This study deals.,with the solution of this problem for a thin circular elastic plate supported at points equally spaced along a concentric support c ircl...

Bending and Free Vibration Analyses of Rectangular Laminated Composite Plates Resting on Elastic Foundation Using a Refined Shear Deformation Theory

In this paper, a closed form solution for bending and free vibration analyses of simply supported rectangular laminated composite plates is presented. The static and free vibration behavior of symmetric and antisymmetric laminates is investigated using a refined first-order shear deformation theory. The Winkler–Pasternak two-parameter model is employed to express the interaction between the lam...

Analytical bending solution of fully clamped orthotropic rectangular plates resting on elastic foundations by the finite integral transform method

This study presents exact bending solution of fully clamped orthotropic rectangular plates subjected to arbitrary loads resting on elastic foundations, based on the finite integral transform method. In this method, it is not necessary to determine the deformation function because the basic governing equations of the classical plate theory for orthotropic plates have been used‌. A detailed param...

Bending Response of Nanobeams Resting on Elastic Foundation

In the present study, the finite element method is developed for the static analysis of nano-beams under the Winkler foundation and the uniform load. The small scale effect along with Eringen's nonlocal elasticity theory is taken into account. The governing equations are derived based on the minimum potential energy principle. Galerkin weighted residual method is used to obtain the finite eleme...