Abstract
Analysis of rectangular plates on a rising elastic foundation is common when designing the foundation of civil, traffic, and irrigation works. The current research presents the results of the analysis of rectangular plates on rising Winkler elastic and two-parameter foundation using the finite difference method. The computational programming was done on Matlab. The results of the research verify the accuracy of the FEM and are in agreement with findings in the literature. In addition, this research also compares the calculation results of two foundation models and investigates the change of plate height ratio to plate size.
Highlights
A plate on a rising elastic foundation is a common type of structure when designing the foundation of civil works
Authors in [1] proposed the application of Finite Difference Method (FDM) to study of the phenomenon in the theory of thin plates
Rectangular plate resting on two-parameter (Pasternak foundation)
Summary
A plate on a rising elastic foundation is a common type of structure when designing the foundation of civil works. Analysis of this problem is related to the solution of the differential equations that describe it. The combination of Kirchhoff's classic plate theory with Finite Difference Method (FDM) has been the topic of many studies. In [3] FDM was proposed to analyze a rectangular steel plate. Authors in [4] presented an investigation of the validity of FDM on simulations of a thin sectorial steel plate under the effect of uniform and concentrated loads with different types of boundary conditions. Authors in [6] proposed simple computer analysis of circular rafts under varying axisymmetric loading and elastic foundation conditions and authors in [7] analyzed the circular tank foundations with
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