Utilizing grillage of one-dimensional elements for stability problems of rectangular plates resting on elastic foundations

In many cases solution for stability of plate resting on elastic foundation problems have been available for limited regular geometries, but where irregular boundaries or partial contact are encountered difficulties arise because it will be necessary to describe the governing equation of motion in a...

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Bibliographic Details
Main Authors: Karasin A., Akdogan R., Ugurlu M.A.
Format: Article in Journal/Newspaper
Language:English
Published: North Atlantic University Union 2016
Subjects:
Fem
Online Access:https://hdl.handle.net/11468/25005
Description
Summary:In many cases solution for stability of plate resting on elastic foundation problems have been available for limited regular geometries, but where irregular boundaries or partial contact are encountered difficulties arise because it will be necessary to describe the governing equation of motion in a general mathematical form. The intention of this study is to extend analytical solutions of the discrete one-dimensional beam elements resting on elastic foundation for solution of plate buckling problems. The solution can be stated as an extension of the so-called discrete parameter approach where the physical domain is broken down into discrete sub-domains. The derivations of the governing differential equations and geometric stiffness terms obtained to observe the influences of foundation parameters. Analytical solution of the discrete one-dimensional elements extended for solution of complex plate problems. © 2016, North Atlantic University Union. All rights reserved.