Vol. 12, No. 4, 2017

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ISSN: 1559-3959
B-splines collocation for plate bending eigenanalysis

Christopher G. Provatidis

Vol. 12 (2017), No. 4, 353–371
Abstract

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.

Keywords
B-splines, collocation method, finite element method, CAD/CAE
Milestones
Received: 23 October 2014
Revised: 22 November 2016
Accepted: 29 November 2016
Published: 20 May 2017
Authors
Christopher G. Provatidis
School of Mechanical Engineering
National Technical University of Athens
Heroon Polytechniou 9
Zografou Campus
15780 Athens
Greece