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    Extension the matrices of one dimensional beam elements for solution of rectangular plates resting on elastic foundation problems
    (North Atlantic University Union, 2015) Karasin A.
    Complex medium of foundations is a frequently recurring problem for many engineering structures in case of transmission of rational, vertical or horizontal forces. In general it is often difficult to find suitable analytical models for plates on elastic foundation problems. In this study, it is proposed to extend analytical solutions of the discrete one-dimensional beam elements resting on one- or two-parameter elastic foundation for solution of plate problems. Firstly, the derivations of the governing differential equations and exact shape functions are obtained. In order to observe the influences of foundation parameters, some graphical comparisons have been done on stiffness terms and the shape functions for solving general plate problems. © 2015, North Atlantic University Union. All rights reserved.
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    Öğe
    Utilizing grillage of one-dimensional elements for stability problems of rectangular plates resting on elastic foundations
    (North Atlantic University Union, 2016) Karasin A.; Akdogan R.; Ugurlu M.A.
    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.