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Minimization of the energy in metal forming process of the cylindric shape tool through punch shape changes

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Języki publikacji
EN
Abstrakty
EN
In this paper the sensitivity based optimization problem is considered. The shape of the first of two contacting bodies is optimized on the basis of sensitivities calculated for the second body i.e. workpiece. The finite element simulation of sheet metal forming process and direct differentiation method of sensitivity analysis is used. Some energy measure of deforming sheet metal is chosen as a cost functional. Its gradients with respect to the tool (punch) shape parameters are evaluated. Tool shape optimization based on `exact' sensitivity results is performed. Calculated sensitivities with respect to the tool shape parameters are the input for the optimization algorithm. The cost functional is minimized, yielding the optimal shape of the tool. The theory is illustrated by numerical example. Shape optimization of the compressor cover produced in one of sheet stamping factories is performed.
Rocznik
Strony
595--607
Opis fizyczny
Bibliogr. 13 poz., rys., wykr.
Twórcy
autor
  • Instytute of Fundamental Technological Research, Polish Anademy of Sciences, ul. Świętokrzyska 21, 00-049 Warsaw, Poland
  • Instytute of Fundamental Technological Research, Polish Anademy of Sciences, ul. Świętokrzyska 21, 00-049 Warsaw, Poland
Bibliografia
  • [1] K. Dems, Z. Mróz. Sensitivity analysis and optimal design of external boundaries and interfaces for heat conduction systems. Journal of Thermal Stresses, 21: 451-488, 1998.
  • [2] M. Kleiber, H. Antunez and W. Sosnowski. Shape and non-sha processes. In: International Conference COMPLAS V, Computational Plasticity, Barcelona, pp. 785-791, 1997.
  • [3] M. Kleiber, H. Antunez, T.D. Hien, P. Kowalczyk. Parameter Sensivity in Nonlinear Mechanics. J. Wiley, 1997.
  • [4] M. Kleiber, T.D. Hien, H.J. Antunez, P. Kowalczyk. Paramete Sensitivity of elasto-plastic response. Engn. Comp, 12: 263-280, 1995.
  • [5] M. Kleiber, W. Sosnowski. Parameter sensitivity analysis in fri ctional contact problems of sheet metal forming. Computational Mechanics, 16: 297-306, 1995.
  • [6] J. Kusiak, E.G. Thompson, Optimization techniques for extruction die shape design, In: Thompson et al., eds., Numerical Methods in Industrial Forming Processes, Numiform 8. A.A. Balkema: Rotterdam, 569-74, 1989.
  • [7] A. Mihelic, B. Stok. Tool design optimization in extrusion processes. Comp. Structures, 68: 283-293, 1998.
  • [8] E. Onate, C. Agelet de Saracibar. Finite element analysis of sheet metal forming problems using a selective viscous bending/membrane formulation. International Journal for Numerical Methods in Engineering, 30: 1557-1593, 1990.
  • [9] K. Schittkowski. NLPQL: A Fortran subroutine solving constrained nonlinear programming problems. Annals of Operations Research, 5: 485-500, 1986.
  • [10] C.E.K. Silwa, E. Hinton, J. Sienz, L.E. Vaz. Structural shape optimization using elasto-plastic.stress fields. In: Second World Congress of Structural and Multidisciplinan Zakopane, 1997.
  • [11] W. Sosnowski, M. Kleiber. A study on the influence of friction evolutionon thickness changes in sheet metal forming. Journal of Materials Processing Technology, 1-4: 465-474, 1996.
  • [12] S. Wolfram. Mathernatica. A System for Doing Mathematics by Computer. Addison-Wesley Publishing Company, Inc., 1991.
  • [13] O.C. Zienkiewicz, P.N. Godbole. Flow of plastic and viscoplastic solids with special refence to extruction and forming processes. Int. J. Num. Meth. Engng., 8: 3-16, 1979.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPB1-0006-0066
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