Second order cone programming in modeling incremental deformation
作者： Ankor Raithatha , Stephen Duncan , Kathryn Jackson , Julian Allwood
关键词:
摘要: Incremental sheet forming (ISF) is a flexible method for metal that can be considered as an incremental deformation process. It applicable to low volume parts manufacturing and rapid prototyping. Existing models ISF, which are predominantly based on standard finite element analysis software, extremely slow therefore not suitable control engineering purposes. A fast modeling in ISF required form the basis of model predictive system regulate geometric accuracy produced by This paper proposes numerical minimization plastic energy within material. By using quadratic yield function describe surface, formulated Second Order Cone Programming (SOCP) optimization problem. solved efficiently use primal dual interior point SOCP algorithms.
sci-hub.se 参考文章(12)
H. Iseki, An approximate deformation analysis and FEM analysis for the incremental bulging of sheet metal using a spherical roller Journal of Materials Processing Technology. ,vol. 111, pp. 150- 154 ,(2001) , 10.1016/S0924-0136(01)00500-3
Ken-Ichiro Mori, Gang Yang, Kozo Osakada, Determination of optimal motion of tools in metal forming processes by controlled FEM simulation International Journal of Machine Tools & Manufacture. ,vol. 35, pp. 851- 859 ,(1995) , 10.1016/0890-6955(94)00058-R
H.D. Mittelmann, An independent benchmarking of SDP and SOCP solvers Mathematical Programming. ,vol. 95, pp. 407- 430 ,(2003) , 10.1007/S10107-002-0355-5
L. Jentsch, Flügge, S., Encyclopeadia of Physics. Volume VI a/4: Mechanic of Solids IV. Ed. C. Truesdell. Berlin-Heidelberg-New York. Springer-Verlag. 1974. 332 S ZAMM - Zeitschrift für Angewandte Mathematik und Mechanik. ,vol. 59, pp. 213- 213 ,(1979) , 10.1002/ZAMM.19790590410
E Hagan, J Jeswiet, A review of conventional and modern single-point sheet metal forming methods Proceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture. ,vol. 217, pp. 213- 225 ,(2003) , 10.1243/095440503321148858
Elisabetta Ceretti, Claudio Giardini, Aldo Attanasio, Experimental and simulative results in sheet incremental forming on CNC machines Journal of Materials Processing Technology. ,vol. 152, pp. 176- 184 ,(2004) , 10.1016/J.JMATPROTEC.2004.03.024
Meelis Pohlak, Rein Küttner, Jüri Majak, Modelling and optimal design of sheet metal RP&M processes Rapid Prototyping Journal. ,vol. 11, pp. 304- 311 ,(2005) , 10.1108/13552540510623620
S J Yoon, D Y Yang, Investigation into a new incremental forming process using an adjustable punch set for the manufacture of a doubly curved sheet metal Proceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture. ,vol. 215, pp. 991- 1004 ,(2001) , 10.1243/0954405011518791
Miguel Sousa Lobo, Lieven Vandenberghe, Stephen Boyd, Hervé Lebret, Applications of second-order cone programming Linear Algebra and its Applications. ,vol. 284, pp. 193- 228 ,(1998) , 10.1016/S0024-3795(98)10032-0
Knud D. Andersen, Edmund Christiansen, Michael L. Overton, Computing Limit Loads by Minimizing a Sum of Norms SIAM Journal on Scientific Computing. ,vol. 19, pp. 1046- 1062 ,(1998) , 10.1137/S1064827594275303