Modified Model Of A Plate Based On
The Winkler Foundation
Author(s)
T. Karamanski & K. Kazakov
Abstract
A modified model of a foundation plate based on Winkler's hypothesis is
proposed. The "modified Winkler's model" takes into account the action of the
soil massif beyond the contour of the foundation plate via the application of an
additional stiffness along its contour. The formula for the evaluation of the
Winkler's constant for this additional stiffness is derived.
The comparison between the model "elastic media" and the "modified
Winkler's model" is performed by the FEM using software system ANSYS.
The verification of the proposed method is performed on the structure of a
residential building founded on a foundation plate. The results for the vertical
deflection and the bending moments in the foundation plate using the "modified
Winkler's model" are close to the results when we used "elastic media" model.
So we create an effective tool for engineers by using the simple Winkler's
hypothesis which increases the accuracy of the results.
1 Introduction
The equation describing the bending of a plate on elastic foundation is:
) , ( ) , ( ) , (
2 2
y x р y x q y x w D −=∇∇(1)
A great number of foundation models are known, i.e. of the connection
between the vertical deflection w and the ground reaction q.
The representation of the soil as a layer of solid finite elements is logical and
plausible, however, it is complicated with respect to numerical modeling, and on
the other hand not all software systems provide this possibility. Unlike this, the
Winkler’s model is much easier to apply. It is characterized by simple and visual
representation of the process of modeling, as well as of the numerical results.
Keywords
Related Book
Other papers in this volume
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