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http://dx.doi.org/10.12989/eas.2019.16.3.359

Dynamic behaviour of thick plates resting on Winkler foundation with fourth order element  

Ozdemir, Yaprak I. (Department of Civil Engineering, Karadeniz Technical University)
Publication Information
Earthquakes and Structures / v.16, no.3, 2019 , pp. 359-368 More about this Journal
Abstract
This paper focuses on the study of dynamic analysis of thick plates resting on Winkler foundation. The governing equation is derived from Mindlin's theory. This study is a parametric analysis of the reflections of the thickness / span ratio, the aspect ratio and the boundary conditions on the earthquake excitations are studied. In the analysis, finite element method is used for spatial integration and the Newmark-${\beta}$ method is used for the time integration. While using finite element method, a new element is used. This element is 17-noded and it's formulation is derived from using higher order displacement shape functions. C++ program is used for the analyses. Graphs are presented to help engineers in the design of thick plates subjected to earthquake excitations. It is concluded that the 17-noded finite element is used in the earthquake analysis of thick plates. It is shown that the changes in the aspect ratio are more effective than the changes in the aspect ratio. The center displacements of the reinforced concrete thick clamped plates for b/a=1, and t/a=0.2, and for b/a=2, and t/a=0.2, reached their absolute maximum values of 0.00244 mm at 3.48 s, and of 0.00444 mm at 3.48 s, respectively.
Keywords
free vibration analysis; forced vibration analysis; Newmark method; Mindlin's theory; fourth order finite element; Winkler foundation;
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Times Cited By KSCI : 1  (Citation Analysis)
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