Technical Papers
Jun 14, 2017

Nonlinear Discrete Mechanical Model of Steel Rings

Publication: Journal of Engineering Mechanics
Volume 143, Issue 9

Abstract

Circular rings are used in various engineering structures because of their nonlinear properties. The use of large assemblies of steel rings in flexible ring nets is widespread in recent technologies of protection structures and their design requires a nonlinear and computationally efficient mechanical modeling. This paper presents an innovative discrete model of steel rings for application in flexible protection structures. The model aims at providing an effective mechanical response of the net at both the local ring scale and the global net scale. Two different uniaxial tension configurations are defined as reference loading cases and the nonlinear analytical response of the ring model to these loading cases is established. A multicriteria numerical method based on the Levenberg-Marquardt algorithm is developed to calibrate the model parameters from experimental data. An experimental campaign on steel wire spliced rings of different dimensions is conducted and permits the calibration and validation of the model.

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Acknowledgments

The authors would like to thank the CAN company for their investment and support in the experimental campaign, providing the rings, testing machine, and sensors. The authors would also like to thank the Vulnérabilité des Ouvrages aux Risques (VOR) research platform for financing the construction of the testing frame. Developments presented in this paper will be part of the French National Project C2ROP (Chute de Blocs, Risques Rocheux et Ouvrages de Protection, www.c2rop.fr).

References

Brent, R. (1973). Algorithms for minimization without derivatives, Prentice-Hall, Englewood Cliffs, NJ.
Ehrgott, M. (2005). Multicriteria optimization, Springer, Berlin.
EOTA (European Organization for Technical Approvals). (2013). “Guideline for European technical approval of falling rock protection kits.”, Brussels, Belgium.
Escallón, J., Wendeler, C., Chatzi, E., and Bartelt, P. (2014). “Parameter identification of rockfall protection barrier components through an inverse formulation.” Eng. Struct., 77, 1–16.
Gentilini, C., Govoni, L., de Miranda, S., Gottardi, G., and Ubertini, F. (2012). “Three-dimensional numerical modelling of falling rock protection barriers.” Comput. Geotech., 44, 58–72.
Ghoussoub, L. (2014). “Analyse de quelques éléments du comportement des écrans de filets pare-blocs.” Ph.D. thesis, Univ. Paris-Est, Marne la Vallée, France (in French).
Grassl, H. (2002). “Experimentelle und numerische modellierung des dynamischen tragund verformungsverhaltens von hochflexiblen schutzsystemen gegen steinschlag.” Ph.D. thesis, ETH Zurich, Zurich, Switzerland (in German).
Grassl, H., Volkwein, A., Anderheggen, E., and Ammann, J. (2002). “Steel-net rockfall protection—Experimental and numerical simulation.” WIT Trans. Built Environ., 63, 11.
Hu, Z., and Zheng, G. (2016). “A combined dynamic analysis method for geometrically nonlinear vibration isolators with elastic rings.” Mech. Sys. Signal Process., 76–77, 634–648.
ImageJ version 1.48 [Computer software]. National Institutes of Health, Bethesda, MD.
Lambert S., and Nicot F., eds. (2011). Rockfall engineering, Wiley, London.
Marquardt, D. W. (1963). “An algorithm for least-squares estimation of nonlinear parameters.” J. Soc. Ind. Appl. Math., 11(2), 431–441.
Nicot, F., Cambou, B., and Mazzoleni, G. (2001a). “Design of rockfall restraining nets from a discrete element modelling.” Rock Mech. Rock Eng., 34(2), 99–118.
Nicot, F., Cambou, B., and Mazzoleni, G. (2001b). “From a constitutive modelling of metallic rings to the design of rockfall restraining nets.” Int. J. Numer. Anal. Methods Geomech., 25(1), 49–70.
Schneider, C., Rasband, W., and Eliceiri, K. (2012). “NIH image to ImageJ: 25 years of image analysis.” Nat. Methods, 9(7), 671–675.
Seames, A., and Conway, H. (1957). “A numerical procedure for calculating the large deflections of straight and curved beams.” J. Appl. Mech., 24, 289–294.
Tse, P., Lai, K., SO, C., and Cheng, C. (1994). “Large deflections of elastic composite circular springs under uniaxial compression.” Int. J. Non Linear Mech., 29(5), 781–798.
Tse, P., and Lung, C. (2000). “Large deflections of elastic composite circular springs under uniaxial tension.” Int. J. Non Linear Mech., 35(2), 293–307.
Volkwein, A. (2004). “Numerische simulation von flexiblen steinschlagschutzsystemen.” Ph.D. thesis, ETH Zurich, Zurich, Switzerland (in German).

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 143Issue 9September 2017

History

Received: Dec 6, 2016
Accepted: Mar 7, 2017
Published online: Jun 14, 2017
Published in print: Sep 1, 2017
Discussion open until: Nov 14, 2017

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Authors

Affiliations

Jibril B. Coulibaly [email protected]
Ph.D. Student, Geological and Geotechnical Hazards Research Team, Cerema Centre-Est, 25 Ave. François Mitterrand, CS 92803, 69674 Bron Cedex, France (corresponding author). E-mail: [email protected]; [email protected]
Marie-Aurélie Chanut [email protected]
Research Engineer, Geological and Geotechnical Hazards Research Team, Cerema Centre-Est, 25 Ave. François Mitterrand, CS 92803, 69674 Bron Cedex, France. E-mail: [email protected]
Stéphane Lambert [email protected]
Research Engineer, UR ETGR, Université Grenoble Alpes, Irstea, Centre de Grenoble, 2 rue de la Papeterie-BP 76, F-38402 St-Martin-d’Hères, France. E-mail: [email protected]
François Nicot [email protected]
Research Professor, UR ETGR, Université Grenoble Alpes, Irstea, Centre de Grenoble, 2 rue de la Papeterie-BP 76, F-38402 St-Martin-d’Hères, France. E-mail: [email protected]

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