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In the paper, the identification problems connected with estimation of cast iron and mould thermophysical parameters are discussed. The additional information necessary to solve the problem results from the knowledge of cooling (heating) curves at the set of points from casting (mould) domain. The course of cooling (heating) curves results from the temperature measurements done in the real conditions of technological process, but at the present stage of research the numerical solution of direct problem plays the role of measured temperatures. In this place the problem of optimal sensors position in a system castingmould appears. Both the choice of measuring points and also the solution of inverse problem, using the gradient methods, require the application of sensitivity analysis methods. The theoretical considerations are illustrated by the examples of computations. The numerical algorithms presented base on the finite difference method (2D problems are considered).
Rocznik
Tom
Strony
59--73
Opis fizyczny
Bibliogr. 40 poz., wykr.
Twórcy
autor
- Department of Strength of Materials and Computational Mechanics, Silesian University of Technology, Gliwice, Poland, jerzy.mendakiewicz@polsl.pl
Bibliografia
- [1] B. Mochnacki, J.S. Suchy. Numerical methods in computations of foundry processes. PFTA, Cracow, 1995.
- [2] W. Kapturkiewicz. Model and numerical simulation of casting crystallization (in Polish). Metallurgy and Foundry, 119, 1988.
- [3] E. Fraś. Crystallization of metals and alloys (in Polish). PWN, Warsaw, 1992.
- [4] E. Fraś, W. Kapturkiewicz, H.F. Lopez. Macro and micro modelling of the solidification kinetics of casting. AFS Transactions, 92-48: 583-591, 1993.
- [5] S.R. Idelsohn, M.A. Storti, L.A. Crivelli. Numerical methods in phase change problems. Archives of Computational Methods in Engineering, 1: 49-74, 1994.
- [6] R. Szopa. Modelling of solidification and crystallization using the combined boundary element method (in Polish). Publications of Silesian University of Technology, 54: 1-177, 1999.
- [7] N. Sczygiol. Approaches to enthalpy approximation in numerical simulation of two-component alloy solidification. Computer Assisted Mechanics and Engineering Sciences, 7(4): 717-734, 2000.
- [8] W. Kapturkiewicz. Modelling of cast iron solidification (in Polish). Akapit, Cracow, 2003.
- [9] E. Majchrzak, B. Mochnacki, R. Szopa. Application of the boundary element method for the numerical modelling of the solidification of cylindrical and spherical castings. Journal of Materials Processing Technology, 106: 99-106, 2000.
- [10] E. Majchrzak, R. Szopa. Analysis of thermal processes in solidifying casting using the combined variant of the BEM. Journal of Materials Processing Technology, 109: 126-132, 2001.
- [11] E.Hensel. Inverse theory and applications for engineers. Prentice Hall, New Jersey, 1991.
- [12] K. Kurpisz, A.J. Nowak. Inverse thermal problems. Computational Mechanics Publications, Southampton-Boston, 1995.
- [13] M.N. Ozisik, H.R.B. Orlande. Inverse heat transfer: fundamentals and applications. Taylor and Francis, Pennsylvania, 1999.
- [14] B. Mochnacki, E. Majchrzak, R. Szopa, J.S. Suchy. Inverse problems in the thermal theory of foundry. Scientific Research of the Institute of Mathematics and Computer Science, 1(5): 154-179, 2006.
- [15] B. Mochnacki, A. Metelski. Odwrotne zadania źrodłowe w termodynamice procesow odlewniczych (in Polish). In: Studia i Monografie, 213, Politechnika Opolska, Opole, 2007.
- [16] B. Mochnacki, E. Majchrzak. Identification of macro and micro parameters in solidification model. Bulletin of the Polish Academy of Sciences. Technical Sciences, 55(1): 107-113, 2007.
- [17] E. Majchrzak, B. Mochnacki, Identification of thermal properties of the system casting-mould. Materials Science Forum, 539-543: 2491-2496, 2007.
- [18] E.Majchrzak, B.Mochnacki, J.S.Suchy, Kinetics of casting solidification - an inverse approach. Scientific Research of the Institute of Mathematics and Computer Science of Czestochowa University of Technology, 1(6): 169-178, 2007.
- [19] E. Majchrzak, B. Mochnacki, J.S. Suchy, Identification of substitute thermal capacity of solidifying alloy. Journal of Theoretical and Applied Mechanics, 46(2): 257-268, 2008.
- [20] T. Burczyński. Sensitivity analysis, optimization and inverse problems. In: D. Beskos, G. Maier, eds., Boundary Element Advances in Solid Mechanics, pp. 245-307, Springer-Verlag, 2003.
- [21] T. Burczyński, A. Osyczka, eds. Evolutionary methods in mechanics. Kluwer Publishers, Dordrecht, 2004.
- [22] J. Mendakiewicz, M. Paruch. Application of evolutionary algorithm for cast iron latent heat identification. Archives of Foundry Engineering, 8(4): 115-120, 2008.
- [23] E. Majchrzak, J. Mendakiewicz, M. Paruch. Identification of solidification parameters using evolutionary algorithm. In: T. Burczyński, W. Cholewa, W. Moczulski, eds., Methods of Artificial Intelligence, pp. 45-46, AIMETH, Gliwice, 2009.
- [24] E. Majchrzak, J. Mendakiewicz. Gradient method of cast iron latent heat identification. Archives of Foundry Engineering, 7(4): 121-126, 2007.
- [25] M. Kleiber. Parameter sensitivity in nonlinear mechanics. John Wiley & Sons Ltd., Chichester, 1997.
- [26] K. Dems, B. Rousselet. Sensitivity analysis for transient heat conduction in a solid body. Structural Optimization, 17: 36-45, 1999.
- [27] R. Szopa. Sensitivity analysis and inverse problems in the thermal theory of foundry (in Polish). Monographs, 124, Publications of the Czestochowa University of Technology, Czestochowa, 2006.
- [28] B. Mochnacki, E. Majchrzak, R. Szopa. Sensitivity analysis in 2D solidification problem: variation of mould parameters. In: Advances in Boundary Element Techniques II, pp. 281-288, Hoggar, Geneva, 2001.
- [29] R. Szopa. The parametric sensitivity analysis of solidification process. Archives of Foundry, 5(15): 395-404, 2005.
- [30] E. Majchrzak, J. Mendakiewicz. Identification of cast iron substitute thermal capacity. Archives of Foundry, 6(22): 310-315, 2006.
- [31] J. Mendakiewicz. Inverse problem of solidification modelling - identification of substitute thermal capacity. In: W. Byrski, S. Kluska-Nawarecka, H. Połcik, R. Tadeusiewicz, eds., FOCOMP'06: Simulation, Designing and Control of Foundry Processes. The fifth international conference, Cracow, Poland, November 22-24, 2006, pp. 33-41, AGH University of Science and Technology, Cracow, 2006, .
- [32] E. Majchrzak, J. Mendakiewicz. Identification of cast steel latent heat on a basis of thermal and differential analysis. Computer Methods in Materials Science, 9(2):195-199, 2009.
- [33] M. Patan, D. Uciński. Optimal location of sensors for parameter estimation of static distributed systems. In: R. Wyrzykowski, J. Dongarra, M. Paprzycki, J. Wasniewski, eds., Parallel Processing and Applied Mathematics, 4th International Conference, PPAM 2001 Naleczow, Poland, September 9-12, 2001, Revised Papers. Lecture Notes in Computer Science, 2328, pp. 729-737, Springer, 2002.
- [34] V.V. Fedorov, P. Hacki. Model-oriented design experiments. Springer-Verlag, New York, 1997.
- [35] D. Uciński. Optimal measurements methods for distributed parameter system identification. CRC Press, Boca Raton, 2005.
- [36] E. Majchrzak, J. Mendakiewicz. Optimal location of sensors for estimation of cast iron latent heat. Scientific Research of the Institute of Mathematics and Computer Science of Czestochowa University of Technology, 1(8): 123-130, 2009.
- [37] E. Majchrzak, J. Mendakiewicz. Optimum location of sensors for mould parameters estimation. Archives of Foundry Engineering, 10(1): 97-100, 2010.
- [38] J. Mendakiewicz. Application of sensitivity analysis in experiments design. Scientific Research of the Institute of Mathematics and Computer Science of Czestochowa University of Technology, 1: 141-148, 2008.
- [39] J. Mendakiewicz. Application of identification methods in solidification process modelling. Archives of Foundry Engineering, 8(1): 203-210, 2008.
- [40] J. Mendakiewicz. Application of experimental data for numerical simulation of cast iron solidification. Archives of Foundry Engineering, 8(4): 111-114, 2008.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPB8-0017-0011