EARTQUAKE BEHAVIOUR OF THICK PLATES RESTING ON ELASTIC FOUNDATION WITH FIRST ORDER FINITE ELEMENT

Abstract

This paper focus on to study dynamic analysis of thick plates resting on Winkler foundation. The governing equation is derived from Mindlin’s theory. This study is a parametric analysis therefore, the effects of the thickness/span ratio, the aspect ratio and the boundary conditions on the linear responses of thick plates subjected to earthquake excitations is studied. In the analysis, as a dynamic solution the Newmark-β method is used for the time integration and finite element method is used for spatial integration. While using finite element method first order element is used. This element is 4-noded and it’s formulation is derived by using first order displacement shape functions. A computer program using finite element method is coded in C++ to analyze the plates clamped or simply supported along all four edges. Graphs are presented that should help engineers in the design of thick plates subjected to earthquake excitations. It is concluded that 4-noded finite element can be effectively used in the earthquake analysis of thick plates. It is also concluded that, in general, the changes in the thickness/span ratio are more effective on the maximum responses considered in this study than the changes in the aspect ratio.

Keywords

• Parametric forced vibration analysis
• thick plate
• mindlin’s theory
• first order finite element
• winkler foundation.

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