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Shaping a thin-walled cylindrical shell on a three-roll bending machine

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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.

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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].

    Google Scholar 

  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).

    Article  Google Scholar 

  5. M. Yang and S. Shima, “Simulation of Pyramid Type Three-Roll Bending Process,” Int. J. Mech. Sci. 30(12), 877–886 (1988).

    Article  Google Scholar 

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Correspondence to R. I. Nepershin.

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Original Russian Text © R.I. Nepershin, 2011, published in Izvestiya Akademii Nauk. Mekhanika Tverdogo Tela, 2011, No. 4, pp. 75–84.

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Nepershin, R.I. Shaping a thin-walled cylindrical shell on a three-roll bending machine. Mech. Solids 46, 554–562 (2011). https://doi.org/10.3103/S0025654411040066

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