Title: A numerical study of wave dispersion curves in cylindrical rods with circular cross-section
Authors: Valsamos, Georgios
Casadei, Folco
Solomos, George
Citation: Applied and Computational Mechanics. 2013, vol. 7, no. 1, p. 99-114.
Issue Date: 2013
Publisher: University of West Bohemia
Document type: článek
URI: http://www.kme.zcu.cz/acm/index.php/acm/article/view/200/207
ISSN: 2336-1182 (Online)
1802-680X (Print)
Keywords: disperzní křivky;metoda konečných prvků;Pochhammer-Chreeova rovnice;šíření vln
Keywords in different language: dispersion curves;finite element method;Pochhammer-Chree equation;wave propagation
Abstract: This work presents a finite element approach for modeling longitudinal wave propagation in thick cylindrical rods with circular cross-section. The formulation is based on simple time domain response of the structure to a properly chosen excitation, and is calculated with an explicit finite element solver. The proposed post-treatment procedure identifies the wavenumber for each mode of wa ve propagation at the desired frequency. The procedure is implemented and integrated in an efficient way in the explicit finite element code Europlexus. The numerical results are compared to the analytical ones obtaine d from the solution of the Pochhammer — Chree equation, which provides the dispersion curves for wavetrains in solid cylinders of infinite length.
Rights: © 2013 University of West Bohemia. All rights reserved.
Appears in Collections:Volume 7, number 1 (2013)
Volume 7, number 1 (2013)

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Please use this identifier to cite or link to this item: http://hdl.handle.net/11025/6199

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