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B-splines
collocation for plate bending eigenanalysis
Christopher G. Provatidis |
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Vol. 12 (2017), No. 4, 353–371
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Abstract |
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Following the recent encouraging findings in the area of 2-D acoustics, this paper investigates the performance of a B-spline collocation method in the extraction of natural frequencies (eigenvalue analysis) of thin plates in bending. Numerical formulation and associated results refer to uniformly discretized rectangular and circular plates, for which closed-form analytical or approximate solutions are available in the literature. The computational results show that the proposed B-spline collocation method is of higher quality than the previously known cubic B-splines Galerkin–Ritz formulation; both of them converge more rapidly to the accurate solution than what the conventional finite element method does for the same mesh density. |
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Keywords
B-splines, collocation method, finite element method,
CAD/CAE
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Milestones
Received: 23 October 2014
Revised: 22 November 2016
Accepted: 29 November 2016
Published: 20 May 2017
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Authors |
| Christopher G. Provatidis | |
| School of Mechanical
Engineering National Technical University of Athens Heroon Polytechniou 9 Zografou Campus 15780 Athens Greece |
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