Structural Engineering and Mechanics
Volume 15, Number 2, 2003, pages 249-267
DOI: 10.12989/sem.2003.15.2.249
Analysis of circular plates on two - parameter elastic foundation
Ahmet Saygun and Mecit Celik
Abstract
In this study, circular plates subjected to general type of loads and supported on a two-parameter elastic foundation are analysed. The stiffness, elastic bedding and soil shear effect matrices of a fully compatible ring sector plate element, developed by Saygun (1974), are obtained numerically assuming variable thickness of the element. Ring sector soil finite element is also defined to determine the deflection of the soil surface outside the domain of the plate in order to establish the interaction between the plate and the soil. According to Vallabhan and Das (1991) the elastic bedding (C ) and shear parameters (CT) of the foundation are expressed depending on the elastic constants (Es , ns) and the thickness of compressible soil layer (Hs) and they are calculated with a suitable iterative procedure. Using ring sector elements presented in this paper, permits the generalization of the loading and the boundary conditions of the soil outside the plate.
Key Words
ring sector compatible plate finite element; the coefficient of subgrade reactions; shear parameter coefficient; mode shape parameter.
Address
Faculty of Civil Engineering, Istanbul Technical University, Maslak 80626 Istanbul, Turkey