WIT Press


A New Integral Transformation Of Body Force Integrals For Bending Of Foundation Plates

Price

Free (open access)

Paper DOI

10.2495/CON010201

Volume

32

Pages

14

Published

2001

Size

1,064 kb

Author(s)

Y.F. Rashed

Abstract

A new integral transformation of body force integrals for bending of foundation plates Y.F. Rashed' Wessex Institute of Technology, UK ^ On leave from Department of Structural Engineering, Faculty of Engineering, Cairo University, Egypt Abstract In this paper, domain integrals due to body forces in the Boundary Element Method (BEM) for bending of plates resting on elastic foundations are transformed to equivalent boundary integrals. The Reissner plate bending theory is used to model the bending behavior of the plate and the Pasternak (two- parameter) foundation model is used. Unlike common techniques of the transformation, which are based on the Green second identity, the present formulation employs the Green first identity which gives smoother and simpler transformed kernels. The necessary particular solutions are derived. A general technique for avoiding the appearance of jump terms in the transformed boundary integrals is presented. Three numerical examples are

Keywords