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