Research Articles | Challenge Journal of Structural Mechanics

Parametric analysis of thick plates subjected to earthquake excitations

Yaprak Itır Özdemir, Yusuf Ayvaz, Tayfun Dede


DOI: https://doi.org/10.20528/cjsmec.2015.03.002

Abstract


Plates are structural elements commonly used in the building industry. A plate is considered to be a thin plate if the ratio of the plate thickness to the smaller span length is less than 1/20; it is considered to be a thick plate if this ratio is larger than 1/20. The purpose of this paper is to study shear locking-free analysis of thick plates using Mindlin’s theory and to determine 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. Finite element formulation of the equations of the thick plate theory is derived by using second 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. In the analysis, 17-noded finite element is used. Graphs and tables are presented that should help engineers in the design of thick plates subjected to earthquake excitations.


Keywords


shear locking-free analysis; earthquake; thick plate; Mindlin’s theory; finite element method

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References


Ayvaz Y (1992). Parametric Analysis of Reinforced Concrete Slabs Subjected to Earthquake Excitation. Ph.D. thesis, Graduate School of Texas Tech University, Lubbock, Texas.

Bathe KJ (1996). Finite Element Procedures. Prentice Hall, Upper Saddle River, New Jersey.

Bergan PG, Wang X (1984). Quadrilateral plate bending elements with shear deformations. Computer and Structures, 19(1-2), 25-34.

http://dx.doi.org/10.1016/0045-7949(84)90199-8

Cook RD, Malkus DS, Michael EP (1989). Concepts and Applications of Finite Element Analysis. John Wiley & Sons, Inc., Canada.

Hinton E, Huang HC (1986). A family of quadrilateral Mindlin plate element with substitute shear strain fields. Computers and Structures, 23(3), 409-431.

http://dx.doi.org/10.1016/0045-7949(86)90232-4

Hughes TJR, Taylor RL, Kalcjai W (1977). A simple and efficient element for plate bending. International Journal for Numerical Methods in Engineering, 11(10), 1529-1543.

http://dx.doi.org/10.1002/nme.1620111005

Mindlin RD (1951). Influence of rotatory inertia and shear on flexural motions of isotropic, elastic plates. Journal of Applied Mechanics, 18, 31-38.

Ozkul TA, Ture U (2004). The transition from thin plates to moderately thick plates by using finite element analysis and the shear locking problem. Thin-Walled Structures, 42, 1405-1430.

http://dx.doi.org/10.1016/j.tws.2004.05.003

Özdemir YI, Bekiroğlu S, Ayvaz Y (2007). Shear locking-free analysis of thick plates using Mindlin's theory. Structural Engineering and Mechanics, 27(3), 311-331.

http://dx.doi.org/10.12989/sem.2007.27.3.311

Özdemir YI, Ayvaz Y (2007). Shear locking-free analysis of thick plates subjected to earthquake excitations. International Conference on Civil, Structural and Environmental Engineering Computing, St. Julians, Malta, September 18-21, 212-227.

Reissner E (1947). On bending of elastic plates. Quarterly of Applied Mathematics, 5, 55-68.

Weaver W, Johnston PR (1984). Finite Elements for Structural Analysis. Prentice Hall Inc., Englewood Cliffs, New Jersey.

http://dx.doi.org/10.1115/1.3167704

Zienkiewich OC, Taylor RL, Too JM (1971). Reduced integration technique in general analysis of plates and shells. International Journal for Numerical Methods in Engineering, 3, 275-290.

http://dx.doi.org/10.1002/nme.1620030211


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