A numerical study of the vibrations of a damaged beam

Authors:
L. Zietsman;N. F. J. Van Rensburg;A. J. Van Der Merwe
Affiliations:
Department of Quantitative Management University of South Africa P.O. Box 392, Pretoria 0003, South Africa;Department of Mathematics and Applied Mathematics University of Pretoria Pretoria 0002, South Africa;Department of Mathematics and Applied Mathematics University of Pretoria Pretoria 0002, South Africa
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2000

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Application of the finite-element method to the vibration of a rectangular plate with elastic support at the boundary

Mathematical and Computer Modelling: An International Journal

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Abstract

We developed a finite element method (FEM) for examining small transverse vibrations of a damaged beam. The damage is modelled as an elastic joint and standard Hermite piecewise cubics were adapted to use as basis functions in the FEM. This method can be used in situations where the characteristic equation approach is not viable.