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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
Tom
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.
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Bibliografia
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bwmeta1.element.baztech-article-BPB8-0009-0025