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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 33
Edited by: B.H.V. Topping
Paper VI.1

Boundary Element Analysis of Gravitational Loading on Structures

A.A. Becker* and M.J.A. Mihsein#

*Department of Mechanical Engineering, University of Nottingham, Nottingham, UK
#British Gas plc, Engineering Research Station, Newcastle-upon-Tyne, UK

Full Bibliographic Reference for this paper
A.A. Becker, M.J.A. Mihsein, "Boundary Element Analysis of Gravitational Loading on Structures", in B.H.V. Topping, (Editor), "Developments in Computational Techniques for Structural Engineering", Civil-Comp Press, Edinburgh, UK, pp 197-204, 1995. doi:10.4203/ccp.33.6.1
The Boundary Element (BE) formulation for axisymmetric gravitational (self-weight) problems is presented. Unlike the Finite Element method, the derivation of the axisymmetric BE solutions requires a complex integration of the three-dimensional solutions resulting in elliptic integrals for which accurate numerical schemes must be used. The analytical formulation and numerical implementation of the BE method are presented, followed by some practical applications. The solution accuracy is demonstrated by comparing the BE solutions to other analytical and numerical solutions.

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