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Civil-Comp Proceedings
ISSN 1759-3433 CCP: 33
DEVELOPMENTS IN COMPUTATIONAL TECHNIQUES FOR STRUCTURAL ENGINEERING 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
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
Abstract
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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