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Approximate determination of Dispersion Relations and Displacement Fields Associated With Elastic Waves in Bars
Mid Sweden University, Faculty of Science, Technology and Media, Department of Natural Sciences.
Mid Sweden University, Faculty of Science, Technology and Media, Department of Natural Sciences.
Uppsala Universitet.
2001 (English)In: Journal of Sound and Vibration, ISSN 0022-460X, E-ISSN 1095-8568, Vol. 246, no 5, p. 853-876Article in journal (Refereed) Published
Abstract [en]

A method for approximate determination of dispersion relations and displacement fields associated with elastic waves in long prismatic bars is established. The method is based on a matrix formulation of Hamilton's principle and utilizes co-ordinate functions to model the displacements in the bar. The method, which involves the solution of an eigenvalue problem, is suitable for use in a mathematical toolbox. It is applied to wave propagation in bars with square and circular cross-sections. The results obtained agree well with the known exact and approximate solutions. The convergence rate is illustrated by systematically changing the order of the co-ordinate functions.

 

 

Place, publisher, year, edition, pages
2001. Vol. 246, no 5, p. 853-876
National Category
Materials Engineering
Identifiers
URN: urn:nbn:se:miun:diva-10130DOI: 10.1006/jsvi.2001.3714ISI: 000171532600007Scopus ID: 2-s2.0-0035807256OAI: oai:DiVA.org:miun-10130DiVA, id: diva2:273328
Available from: 2009-10-21 Created: 2009-10-21 Last updated: 2017-12-12Bibliographically approved

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Widehammar, SvanteGradin, Per

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