A Plate on Winkler Foundation with Variable Coecient


1 Department of Civil Engineering,Sharif University of Technology

2 Department of Mechanical Engineering,Sharif University of Technology


Abstract. Plates on elastic foundations have attracted the attention of many researchers. Some
elementary models have been introduced to consider interactions between the plate and its foundation.
Other improved models have been proposed to develop basic models. In this work, a model based on the
Winkler-foundation theory is proposed, while the constant parameter of Winkler is assumed to be variable;
such as non-uniform springs with the functionality of the domain position, along with the plate and beam
span in order to consider the non-uniform behavior of the foundation. The governing equation on the
system is solved by using the Galerkin method and e ects such as the presence of rigid points in the
foundation are considered.