A Hybrid Displacement Variational Formulation Of BEM For Elastodynamics
Price
Free (open access)
Transaction
Volume
7
Pages
8
Published
1994
Size
625 kb
Paper DOI
10.2495/BE940551
Copyright
WIT Press
Author(s)
G. Davi & A. Milazzo
Abstract
This paper deals with a hybrid displacement variational formulation of BEM for elastodynamics. The mathematical model for elastodynamics is obtained from the stationarity condition of a modified functional expressed in terms of displacements and tractions. These are assumed as independent on the boundary and in the domain. The boundary variables are expressed by using their nodal values while the domain displacement field is approximated with a linear combination of static fundamental solutions. The source point of every fundamental solution is located outside the domain. The problem of free vibrations is reduced to an algebraic eigenvalue problem, the solution of which is straightforward. The structural matrices result symmetric and positive definite and the
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