Spatial Free Plastic Forming of Slender Parts—Machine Design, Forming Limits, and Application

[+] Author and Article Information
M. Thalmair, H. Lippmann

Lehrstuhl A für Mechanik, Technische Universität München, Boltzmannstr. 15, D-85748 Garching, Germanye-mail: Epost@Lam.mw.tum.de

M. Reigl

ABB ALSTOM Power GmbH, Frankenstr. 150, D-90461 Nürnberg, Germanye-mail: Martin.Reigl@T-online.de

J. Eng. Mater. Technol 123(4), 524-529 (Jul 24, 2001) (6 pages) doi:10.1115/1.1397374 History: Received July 24, 2001
Copyright © 2001 by ASME
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Lippmann,  H., 1990, “Free rigid/plastic plane bending of a slender beam,” Ing.-Arch., 60, pp. 293–302.
Reigl,  M., Lippmann,  H., and Mannl,  V., 1994, “Querschnittsänderung von schlanken Profilstäben beim freien Biegen,” Z. Angew. Math. Mech., 74, pp. 157–159.
Reigl,  M., Lippmann,  H., and Mannl,  V., 1994, “Air bending as a numerically controlled forming process to produce S-shaped bars,” J. Mater. Process. Technol., 45, pp. 389–394.
Reigl,  M., Lippmann,  H., and Mannl,  V., 1994, “Pliage libre de fils, tubes et barres par les extrémités: Un nouveau procédé de formage,” Métal Industries, Nov., pp. 17–21.
Reigl, M., Lippmann, H., and Mannl, V., 1995, “Erzeugung vielfältiger Werkstückformen durch kaltes und warmes endgesteuertes freies Biegen,” Flexible Umformtechnik, DFG (Deutsche Forschungsgemeinschaft), eds., Mainz Scientific Publ., Aachen, pp. 2.2-1 to 2.2-15.
Thalmair,  M., and Lippmann,  H., 2000, “Spatial free plastic forming of slender parts—Fundamental relations and first example,” Int. J. Mech. Sci., 42, pp. 1851–1865.
Thalmair, M., and Lippmann, H., 1999, “Spatial free plastic forming of slender parts,” Microstructures and Mechanical Properties of New Engineering Materials, B. Xu et al., eds., International Acad. Publ., Beijing, pp. 161–166.
Lippmann, H., Mannl, V., and Reigl, M., 1993, “Freies Plastisches Biegen,” German patent appl., file no. DE 43 10 773.7, Deutsches Patentamt, Munich, submitted 06, Oct.
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Central trajectory AB, arbitrary point C of AB, cross section (here rectangular) attached to C, coordinate direction 1, 2, 3 in cross section at C, x, y, z: Cartesian coordinates fixed in the space
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Cylinders of admissibility |M|=μL (inner) and |M|=μ+L+ (outer) with plastic zone DP of trajectory AB in between. MW,FW: wrench of applied loads at A or B
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Perspective view of Fig. 4
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Corresponding control curves
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Irregular spirals with overlength
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Twisted bar with stationary bending
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Design of window frame (Fig. 11)
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Corresponding control curves



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