Extension the matrices of one dimensional beam elements for solution of rectangular plates resting on elastic foundation problems

• Main Author: Karasin A.
• Format: Article in Journal/Newspaper
• Language: English
• Published: North Atlantic University Union 2015
• Subjects: Elastic Foundation; Finite Element; Shape Functions; Stiffness Matrices; North Atlantic
• Online Access: https://hdl.handle.net/11468/25044

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.