Boundary Spectral Strip for Elastodynamics Using Analytical Integration Along a Circular Path

The 2D elastodynamics boundary integral equation is solved by using a spectral harmonic series. The frequency domain kernel is expanded into a Taylor series enabling the integration of each term of the series analytically along a circular integration path. The application of the method is demonstrat...

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Bibliographic Details
Published in:Journal of applied mechanics 1998-06, Vol.65 (2), p.544-547
Main Authors: Michael, O, Avrashi, J, Rosenhouse, G
Format: Article
Language:English
Subjects:
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Physics
Solid mechanics
Structural and continuum mechanics
Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
Vibrations and mechanical waves
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Summary:The 2D elastodynamics boundary integral equation is solved by using a spectral harmonic series. The frequency domain kernel is expanded into a Taylor series enabling the integration of each term of the series analytically along a circular integration path. The application of the method is demonstrated by solving two simple problems having a known analytical solution. The results show a good agreement between the numerical and the analytical solutions. As in the elastostatic formulation, the boundary spectral strip dynamic formulation shows an exponential convergence rate. (Author)
ISSN:0021-8936
1528-9036
DOI:10.1115/1.2789093