Analysis of large deformations of long flexible bars

Artur Ganczarski, Tomasz Gawlik

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Abstract. This work presents a comparison the results of the real deformation of a four-segment fly rod used to the feeder method with the results obtained from the theory and the FEM. The experiment of bending comprises preparation of the measuring path, in which the real fly rod is loaded by a series of forces subsequently changing both magnitude and inclination. The FEM model of the fly rod is based on the beam element and the variation of the cross-section is subjected to stepping approximation. The theoretical model takes advantage of the classical elliptic integral formulation applied to describe full curvature problem of long flexible bars. Dominant errors between the experimental data and numerical results come from essential difficulties in accurate measurement of the wall thickness as well as uncertainty of fibre carbon configuration.

Keywords
Large Deformation, Verification of Bending Test by FEM and Theory, Carbon Fibre Composite

Published online , 9 pages
Copyright © 2023 by the author(s)
Published under license by Materials Research Forum LLC., Millersville PA, USA

Citation: Artur Ganczarski, Tomasz Gawlik, Analysis of large deformations of long flexible bars, Materials Research Proceedings, Vol. 30, pp 7-15, 2023

DOI: https://doi.org/10.21741/9781644902578-2

The article was published as article 2 of the book Experimental Mechanics

Content from this work may be used under the terms of the Creative Commons Attribution 3.0 license. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.

References
[1] R. Frisch-Fay, Flexible bars, London Buttherworths, 1962.
[2] F. Oberhettinger, W. Magnus, Anwendung der Elliptischen Funktionen in Physik und Technik, Springer-Verlag, Berlin-Heidelberg, 1949. https://doi.org/10.1007/978-3-642-52793-7
[3] W. Press, S. Teukolsky, W. Vetterling, B. Flanner, Numerical Recipes in Fortran 77: The Art of Scientific Computing, Cambridge University Press, NY, 1997.
[4] S.P. Timoshenko, J.M. Gere, Mechanics of materials, Van Nostrand, New York, 1972.
[5] M. Życzkowski, Pokrytyczne zachowanie się prętów ściskanych, in: Mechanika techniczna, vol. IX, PWN, Warszawa, 1988, pp. 298–304.
[6] Information on http://riad.usk.pk.edu.pl/~m1/mysql/materialydydaktyczne/pliki/lkpizimes1. pdf
[7] Information on https://www.hexcel.com/user_area/content_media/raw/IM7_HexTow_Data Sheet.pdf