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Structural Engineering and Mechanics Volume 26, Number 1, May10 2007 , pages 69-86 DOI: https://doi.org/10.12989/sem.2007.26.1.069 |
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Alternative plate finite elements for the analysis of thick plates on elastic foundations |
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K. Ozgan and Ayse T. Daloglu
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| Abstract | ||
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A four-noded plate bending quadrilateral (PBQ4) and an eight-noded plate bending quadrilateral (PBQ8) element based on Mindlin plate theory have been adopted for modeling the thick plates on elastic foundations using Winkler model. Transverse shear deformations have been included, and the stiffness matrices of the plate elements and the Winkler foundation stiffness matrices are developed using Finite Element Method based on thick plate theory. A computer program is coded for this purpose. Various loading and boundary conditions are considered, and examples from the literature are solved for comparison. Shear locking problem in the PBQ4 element is observed for small value of subgrade reaction and plate thickness. It is noted that prevention of shear locking problem in the analysis of the thin plate is generally possible by using element PBQ8. It can be concluded that, the element PBQ8 is more effective and reliable than element PBQ4 for solving problems of thin and thick plates on elastic foundations. | ||
| Key Words | ||
| finite element method; thick plate theory; elastic foundation; Winkler model. | ||
| Address | ||
| K. Ozgan: Yuksel Proje Uluslararas A. . Birlik Mah. 9. Cad. No:41 Cankaya 06610 - Ankara, Turkey Ayse T. Daloglu: Dept. of Civil Engineering, Karadeniz Technical University, Trabzon, 61080, Turkey | ||