M.Sc. Tezi Görüntüleme

Student: Yaprak Itır ÖZDEMİR
Supervisor: Prof. Dr. Yusuf AYVAZ
Department: Civil Engineering
Institution: Graduate School of Natural and Applied Sciences
University: Karadeniz Technical University, Turkey
Title of the Thesis: PARAMETRIC ANALYSIS OF THICK PLATES SUBJECTED TO EARTHQUAKE EXCITATIONS BY USING MINDLIN’S THEORY
Level: M.Sc.
Acceptance Date: 11/9/2007
Number of Pages: 147
Registration Number: Di605
Summary:

       The purpose of this paper is to analyze the thick plates using Mindlin’s theory and to determine the effects of the different thickness/span ratio, aspect ratio and boundary conditions on the linear responses of rectangular thick plates subjected to earthquake excitations. A computer program is coded in C++ to analyze the plates. In the program, finite element method is used for spatial integration and Newmark-β method is used for time integration. In the analysis, in addition to 4- and 8-noded quadrilateral finite elements widely used, a 17-noded quadrilateral finite element which has the fourth order shape function is also considered. In this study, the plates subjected to uniformly distributed loads is also analyzed by using the parameters mentioned above and shear-locking problem for these three different finite elements are also examined.

It is concluded that shear-locking problem occurs in many cases if 4-noded finite element is used in the analysis, and that shear-locking problem occurred in several cases if 8-noded element is used can be omitted by using finer mesh, and that 17-noded finite element does not have any mechanisms. It is also concluded that 17-noded quadrilateral finite element can be effectively used in the analysis of plates subjected to uniformly distributed loads or earthquake excitations without any mechanisms, and that the use of this element can approximately reduce the mesh size to the half of those of the others, and that the effect of the thickness/span ratio on the earthquake behavior of the rectangular thick plates is generally larger than that of the aspect ratio.

      

Keywords: Earthquake, Thick Plates, Mindlin’s Theory, Finite Element Method, Fourth Order Shape Function, Parametric Analysis, Shear-Locking