B-splines collocation for plate bending eigenanalysis

Provatidis, Christopher

doi:10.2140/jomms.2017.12.353

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B-splines collocation for plate bending eigenanalysis

Christopher G. Provatidis

Vol. 12 (2017), No. 4, 353–371

DOI: 10.2140/jomms.2017.12.353

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

Vol. 12, No. 4, 2017

Christopher G. Provatidis

Abstract

Keywords

Milestones

Authors