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Abstrakty
In this paper a numerical analysis of contact between three-dimensional elastic beams with deformations at the contact zone is carried out. The authors propose a new model of beam-to-beam contact which is the continuation of ideas presented in [6, 7, 10]. The results of beam-to-beam contact analysis are compared with the ones for full 3D problem solved in the Abaqus/enviroment. The aim of the conducted numerical simulations was to select the most appropriate 3D model and to use it as a reference to verify the accuracy of the proposed beam-to-beam contact definition. The verifications were carried out for contact between beams with circular cross-sections. The obtained contact forces and the displacements of beams tips for different beams arrangements and boundary conditions showed a satisfactory correlation.
Czasopismo
Rocznik
Tom
Strony
281--299
Opis fizyczny
Bibliogr. 17 poz., rys., tab., wykr.
Twórcy
autor
- Institute of Structural Engineering Poznan University of Technology Piotrowo 5, 60-965 Poznań, Poland
autor
- Institute of Structural Engineering Poznan University of Technology Piotrowo 5, 60-965 Poznań, Poland
autor
- Institute of Structural Engineering Poznan University of Technology Piotrowo 5, 60-965 Poznań, Poland
Bibliografia
- 1. Crisfield M.A., A consistent co-rotational formulation for non-linear, three-dimensional beam-elements, Computer Methods in Applied Mechanics and Engineering, 81(2): 131– 150, 1990.
- 2. Curnier A., Alart P., A generalized Newton method for contact problem with friction, Journal de Mécanique Théorique et Appliquée, 7: 67–82, 1988.
- 3. Durville D., Contact-friction modeling within elastic beam assemblies: An application to knot tightening, Computational Mechanics, 49(6): 687–707, 2012.
- 4. Gay Neto A., Pimenta P.M., Wriggers P., Self-contact modeling on beams experiencing loop formation, Computational Mechanics, 55(1): 193–208, 2015.
- 5. Johnson K.L., Contact mechanics, pp. 81–104, Cambridge University Press, 1985.
- 6. Kawa O., Litewka P., Contact between 3-D beams with deformable circular cross sections, [in:] Recent Advances in Computational Mechanics, T. Łodygowski, J. Rakowski, P. Litewka (Eds.), pp. 183–190, CRC Press/Balkema, Taylor & Francis Group, London, 2014.
- 7. Kawa O., Litewka P., Contact with friction between 3D beams with deformable circular cross sections, Engineering Transactions, 63(4): 439–462, 2015.
- 8. Konyukhov A., Schweizerhof K., Geometrically exact theory for arbitrary shaped bodies, Lecture Notes in Applied and Computational Mechanics, Vol. 67, Springer, 2013.
- 9. Laursen T.A., Computational contact and impact mechanics, Springer, Heidelberg, 2002.
- 10. Litewka P., Finite element analysis of beam to beam contact, Springer, Berlin– Heidelberg, 2010.
- 11. Meier C., Wall W., Popp A., A unified approach for beam-to-beam contact, Computer Methods in Applied Mechanics and Engineering, 315: 972–1010, 2017.
- 12. Popov V.L., Contact Mechanics and Friction, pp. 55–64, Springer, Berlin–Heidelberg, 2010.
- 13. Simo J.C., Laursen T.A., An augmented Lagrangian treatment of contact problems involving friction, Computers and Structures, 42(1): 97–116, 1992.
- 14. Wriggers P., Miehe C., On the treatment of contact contraints within coupled thermomechanical analysis, [in:] Proceedings of EUROMECH, Finite Inelastic Deformations, Desdo B., Stein E. (Eds.), Springer, Berlin 1992.
- 15. Wriggers P., Zavarise G., On contact between three-dimensional beams undergoing large deflections, Communications in Numerical Method in Engineering, 13(6): 429–438, 1997.
- 16. Wriggers P., Computational contact mechanics, 1st Ed., pp. 339–354, Wiley, 2002.
- 17. Zavarise G., Wriggers P., Contact with friction between beams in 3-D space, International Journal for Numerical Methods in Engineering, 49(8): 977–1006, 2000.
Uwagi
Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-9ded5559-95fc-4268-a694-32fe048dae12