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Application of the Strongin-Sergeyev global optimization method in the compliance minimization of latticed shells

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Języki publikacji
EN
Abstrakty
EN
The aim of the present paper is to revisit some known truss optimization problems by applying the genuine Strongin and Sergeyev's algorithm of the global search [8]. By employing the space-filling Hilbert-Peano-type curves, the wide class of non-convex and multidimensional constrained global optimization problems is reduced to one-dimensional ones. Then, the global minimum of the objective function in one-dimensional problem can be effectively found by means of Multivariate Index Method (MIM) that can be treated as a special version of one-dimensional Global Search Algorithm (GSA) over the set of open intervals adopted to constrained problems.
Rocznik
Strony
291--307
Opis fizyczny
Bibliogr. 13 poz., rys.
Twórcy
autor
  • Faculty of Civil Engineering, Warsaw Unwersity of Technology, al. Armii Ludowej 16, 00-637 Warsaw, Poland, czs@il.pw.edu.pl
Bibliografia
  • [1] S. Czarnecki. Compliance optimization of the truss structures. Computer Assisted Mechanics and Engineering Sciences, 10: 117-137, 2003.
  • [2] C. Graczykowski, T. Lewiński. Michell cantlilevers constructed within trapezoidal domains. Part I: geometry of Hency nets. Struci. Multidisc. Optim., 32: 347-368, 2006.
  • [3] E. Hansen, G.W. Walster. Global Optimization Using Interual Analysis. Marcel Dekker, Inc., New York, 2004.
  • [4] H.T. Jongen, P. Jonker, F. Twilt. Nonlinear Optimization in Finite Dimensions. Morse Theory, Chebyshev Approximation, Transversality, Flows, Parametric Aspects. Kluwer Academic Publishers, London, 2000.
  • [5] T. Lewiński. Michell structures formed on surfaces of revolution. Struci. Multdisc. Optim., 28: 20-30, 2004.
  • [6] Z. Michale wieź. Genetic Algorithms + Data Structures = Evolution Programs. Springer-Verlag, Berlin, 1996.
  • [7] A. Michell. The limits of economy of material in frame structures. Phil. Mag., 8: 589-597, 1974.
  • [8] R.G. Strongin, Y.D. Sergeyev. Global Optimization with Non-Convex Constraints. Kluwer Academic Publishers, London, 2000.
  • [9] K. Svanberg. The method of moving asymptotes - a new method for structural optimization. Int. J. Nura. Meth. Eng., 24: 359-373, 1987.
  • [10] Wahyu Kuntjoro, Jamaluddin Mahmud. Truss structural configuration optimization using the linear extended interior penalty function method. ANZIAM J., 46(E): 1311-1326, 2006.
  • [11] W. Zabłocki. Optimization of structures and new architectural forms of tali buildings (in Polish). Architektura, 74: 96-98, 2000.
  • [12] W. Zalewski. The strength and the lightness - the muses of a structural engineer (in Polish). Architektura, 74: 94-95, 2000
  • [13] W. Zalewski, W. Zabłocki. Skyscrapers. Engineering inspiration of forming the multi-storey buildings (in Polish). Magazyn budowlany, 8: 50-54, 1999.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPB8-0009-0025
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