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Analysis of box-like structures using 3-D Coons' interpolation

2005; Wiley; Volume: 21; Issue: 8 Linguagem: Inglês

10.1002/cnm.762

1099-0887

Christopher G. Provatidis,

Dynamics and Control of Mechanical Systems

Communications in Numerical Methods in EngineeringVolume 21, Issue 8 p. 443-456 Research Article Analysis of box-like structures using 3-D Coons' interpolation Christopher G. Provatidis, Corresponding Author Christopher G. Provatidis [email protected] School of Mechanical Engineering, National Technical University of Athens, 9 Heroon Polytechniou Avenue, Zografou Campus, 157 73 Athens, GreeceSchool of Mechanical Engineering, National Technical University of Athens, 9 Heroon Polytechniou Avenue, Zografou Campus, 157 73 Athens, GreeceSearch for more papers by this author Christopher G. Provatidis, Corresponding Author Christopher G. Provatidis [email protected] School of Mechanical Engineering, National Technical University of Athens, 9 Heroon Polytechniou Avenue, Zografou Campus, 157 73 Athens, GreeceSchool of Mechanical Engineering, National Technical University of Athens, 9 Heroon Polytechniou Avenue, Zografou Campus, 157 73 Athens, GreeceSearch for more papers by this author First published: 01 April 2005 https://doi.org/10.1002/cnm.762Citations: 18AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onFacebookTwitterLinkedInRedditWechat Abstract This paper investigates the applicability of a recently proposed global functional set based on '3-D Coons' interpolation formula', in the static and dynamic analysis of box-like elastic structures. According to the proposed methodology, only the 12 edges of the entire hexahedral-like structure should be discretized into a small number of nodal points. In this way, the dimensionality of the problem is drastically reduced from three to one, in the sense that instead of the volume, only the control lines being absolutely necessary to define the geometric model should be considered in the analysis. Preliminary results obtained for paralleloidal and cylindrical beams in tension, bending and torsion, as well as an internally pressurized thick-walled cylinder were found to be encouraging for the static analysis. Moreover, the natural frequencies of a rectangular clamped beam were calculated with excellent accuracy. Copyright © 2005 John Wiley & Sons, Ltd. Citing Literature Volume21, Issue8August 2005Pages 443-456 RelatedInformation