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Optimization of mechanical structures using interval analysis

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Wybrane pełne teksty z tego czasopisma
Identyfikatory
Warianty tytułu
Konferencja
Polish Conference on Computer methods in mechanics ; (14 ; 26-28.05.1999 ; Rzeszów, Poland
Języki publikacji
EN
Abstrakty
EN
The problem of optimal design consists in finding the optimum parameters according to a specified optimality criterion. Existing optimization methods [1,2] usually are not reliable or cannot use the nondifferentiable, not continuous objective functions or constraints. An interval global optimization method is very stable and robust, universally applicable and fully reliable. The interval algorithm guarantees that all stationary global solutions have been found. In this paper the algorithm is applied to optimization of mechanical systems, calculation of extreme values of mechanical quantities and to optimization of structures with uncertain parameters.
Rocznik
Strony
699--705
Opis fizyczny
Bibliogr. 28 poz., rys., tab.
Twórcy
autor
  • Departament of Theoretical Mechanics, Silesian University of Technology [Politechnika Śląska], ul. Krzywoustego 7, 44-100 Gliwice, Poland
Bibliografia
  • [1] G. Alefeld, J. Hertzberger. Introduction to Interval Computation. Academic Press, New York, 1983.
  • [2] A. M. Brandt. Fundament of opimization of building structures [in Polish]. PWN, Warsaw 1978.
  • [3] G. F. Corliss. Rigorous Global Search: Industrial Applications. (http : //studsys mscs . mu . edu/-georgec), 1998.
  • [4] T. Csendes, D. Ratz. Subdivision direction selection in interval methods for global optimization. SIAM Journal on Numerical Analysis, 34(3): 922-938, 1997.
  • [5] I Delivering Performance on Sun: Optimizing Applications for Solaris. Technical White Paper, SUN Microsystems (http : //www. sun. com), 1999.
  • [6] K. Dems, W. Gutkowski. 2D shape optimization with static and dynamic constraints. Structural Optimization, 15: 201-207, 1998.
  • [7] X. Feng, R. Yang, Y. Zhu, G. F. Corliss, R. B. Kearfott. GlobSol Case Study: Parameter Optimization for the Eddy Current Compensation of MRI Coils (GE Medical). Rigorous Global Search Working Note 8 (http: //www.mscs .mu.edur-globsol/papers .html), 1998.
  • [8] F. Fritz, G. F. Corliss, A. Johnson, D. Prohaska, J. Hart. GlobSol Case Study: Rocket Nozzle Design (MacNeal-Schwendler). Rigorous Global Search Working Note 5 (http: //www.mscs .mu.edur-globsol/papers.html), 1998.
  • [9] Ch. Giirges, H. Ratschek. Global interval methods for local nonsmooth optimization. Journal of Global Optimization, 14: 157-179, 1999.
  • [10] E. R. Hansen. Global optimization using interval methods. Marcel Dekker, New York 1992.
  • [11] W. Huyer, A. Neumaier. Global optimization by multilevel coordinate search. Journal of Global Optimization, 14: 331-355, 1999.
  • [12] E. Hyvónen, S. De Pascale. GIA InC++ Global Interval Arithmetic and Optimization Library. Delisoft Ltd., (http : //www. delisof t . f i), 1997.
  • [13] V. Kreinovich, A. Lakeyev, J. Rohn, P. Kahl. Computational Complexity and Feasibility of Data Processing and Interval Computations. Kluwer Academic Publishers, Dordrecht, 1997.
  • [14] Z. Kulpa, A. Pownuk, I. Skalna. Analysis of linear mechanical structures with uncertainties by means of interval methods. CA MES, 5(4): 443-477, 1998.
  • [15] E. Lund. Finite Element Based Design Sensitivity Analysis and Optimization. Ph.D. Dissertation. Institute of Mechanical Engineering, Alborg University, 1994.
  • [16] Z. Michalewicz. Genetics Algorithms + Data Structures = Evolution Programs. WNT, Warsaw, 1996.
  • [17] R. E. Moore. Interval Analysis. Prentice-Hall, New Jersey, 1966.
  • [18] A. Neumaier. Interval methods for systems of equations. Cambridge University Press, New York, 1990.
  • [19] J. D. Pinter. Global Optimization in Action. Kluwer, Dordrecht 1995.
  • [20] A. Pownuk. Application of interval global optimization to calculation of extreme values of mechanical quantities. 20th International Scientific Symposium of Students and Young Research Workers, Vol. IV: Mechanics, pp.211 - 215. Zielona Góra, 1998.
  • [21] A. Pownuk. Optimization of mechanical structures using interval analysis. Proc. 14th Polish Conference on Computer Methods in Mechanics (PCCMM'99), Rzeszów, Poland, May 26-29, 1999, pp. 301-302.
  • [22] H. Ratschek, J. Rokne. Computer Method for the Range of Function. John Wiley and Sons, New York, 1984.
  • [23] H. Ratschek, J. Rokne. New Computer Methods for Global Optimization. John Wiley and Sons, New York, 1988.
  • [24] P. J. Thalacker, K. Julien, P. G. Toumanoff, J. P. Daniels, G. F. Corliss, R. B. Kearfott. GlobSol Case Study: Portfolio Management (Banc One), Rigorous Global Search Working Note 6 (http: //www.mscs .mu.edu/-globsol/papers .html), 1998. Internet resources
  • [25] http: //solon. cma.univie .ac.at/-neum/glopt.html - A. Neumaier.
  • [26] http : //ubmail ubalt edu/-har sham/ref op/Ref op .htm - H. Arsham.
  • [27] http://plato.la.asu.edu/guide.html - H.D. Mittelmann, P. Spellucci.
  • [28] http: //www.mscs .mu.edu/-globsol/sites .html - Research project sponsored by Sun Microsystems.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPB1-0005-0044
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