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IssuesArchive of Issues2011-4pp.554-562

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R.I. Nepershin, "Shaping a Thin-Walled Cylindrical Shell on a Three-Roll Bending Machine," Mech. Solids. 46 (4), 554-562 (2011)
Year 2011 Volume 46 Number 4 Pages 554-562
DOI 10.3103/S0025654411040066
Title Shaping a Thin-Walled Cylindrical Shell on a Three-Roll Bending Machine
Author(s) R.I. Nepershin (Moscow State Technical University "Stankin," Vadkovskii per. 3a, K-55, Moscow, 127944 Russia, nepershin_ri@rambler.ru)
Abstract We use the Bernoulli-Euler kinematic hypothesis to model the steady-state process of shaping a thin-walled cylindrical shell by bending an elastoplastic strengthening parent sheet on a three-roll bending machine. We determine the curvilinear shape of the moving parent sheet in the bending area and the displacement of the central roll axis needed to obtain the prescribed curvature of the cylindrical shell when leaving the bending area. One- and multitransition shell shaping processes are considered. The computational model is in satisfactory agreement with experiments.
Keywords cylindrical shell, thin sheet, elastoplastic bending, strengthening, finite forming, three-roll bending machine
References
1.  Mechanical Engineering, Encyclopedia, Vol. III-2: Technology of Blank Production (Mashinostroenie, Moscow, 1996) [in Russian].
2.  A. N. Beketov and E. N. Lanskoi (Editors), Press-Forging Machinery (Mashinostroenie, Moscow, 1982) [in Russian].
3.  R. I. Nepershin, "Bending of a Thin Strip by a Circular Tool," Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 4, 83-99 (2007) [Mech. Solids (Engl. Transl.) 42 (4), 568-582 (2007)].
4.  N. E. Hansen and O. Jannerup, "Modelling of Elastic-Plastic Bending of Beams Using a Roller Bending Machine," Trans. ASME. J. Engng Indust. 101 (3), 304-310 (1979).
5.  M. Yang and S. Shima, "Simulation of Pyramid Type Three-Roll Bending Process," Int. J. Mech. Sci. 30 (12), 877-886 (1988).
Received 31 March 2009
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