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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 44
ADVANCES IN BOUNDARY ELEMENT METHODS
Edited by: B.H.V. Topping
Paper V.1

Forced Vibrations of 3-D Solids by the Dual Reciprocity BEM

J. Agnantiaris*, D. Polyzos* and D.E. Beskos#

*Department of Mechanical Engineering and #Department of Civil Engineering, University of Patras, Patras, Greece

Full Bibliographic Reference for this paper
J. Agnantiaris, D. Polyzos, D.E. Beskos, "Forced Vibrations of 3-D Solids by the Dual Reciprocity BEM", in B.H.V. Topping, (Editor), "Advances in Boundary Element Methods", Civil-Comp Press, Edinburgh, UK, pp 99-103, 1996. doi:10.4203/ccp.44.5.1
Abstract
The dual reciprocity boundary element method (DR/BEM) is employed for the solution of forced vibration problems of three-dimensional elastic solids. Use of the elastostatic fundamental solution in the integral formulation of elastodynamics creates an inertial volume integral in addition to the boundary ones. A general analytical method is described for the closed form determination of the particular solutions of the displacement and traction tensors corresponding to radial basis functions. The simple but effective l+r radial basis function is used in the formulation for the transformation of the inertial volume integral into surface integrals. Quadratic continuous and discontinuous 9-noded boundary elements are used in the analysis. Harmonic forced vibration problems are solved directly in the frequency domain. Transient forced vibration problems are solved by Houbolt's step-by-step integration of the equations of motion. Interior collocation points are also used for increased accuracy. Two numerical examples involving forced vibrations of a cube and a sphere are presented.

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