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Implementation of the harmonic transformation method in shape optimization

Autorzy
Wybrane pełne teksty z tego czasopisma
Języki publikacji
EN
Abstrakty
EN
This paper describes an implementation of the variant of the speed method in shape optimization for plane elastic structures, based on harmonic transformations. It is coupled with special method for solving the singular elliptic problems resulting from geometric features like e. g. reentrant corners. Both approaches are based on the works of the author. The interactive system has been built, based on MATLAB environment, and the examples showing the robustness of the algorithms were solved.
Rocznik
Strony
285--298
Opis fizyczny
Bibliogr. 14 poz., rys.
Twórcy
  • Systems Research Institute, Polish Academy of Sciences, ul. Newelska 6, 01-447 Warszawa
Bibliografia
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  • [3] K. Dems, Z. Mróz. Shape sensitivity in mixed Dirichlet-Neumann boundary value problems and associated class of path independent integrals, Eur. J. Mech., A/Solids, 14(2): 169-203, 1995.
  • [4] K. Dems. Shape and materials parameters sensitivity analysis in quasi-harmonic problems, Control and Cybernetics, 25(5); 969-1000, 1996.
  • [5] P. Grisvard. Elliptic Problems in Nonsmooth Domains, Pitman, 1985.
  • [6] Ying Luang-an. Infinite Element Method, Peking University Press and Vieweg Publishing, 1995.
  • [7] B.N. Pshenichnyj. The Linearization Method for Constrained Optimization, Springer Verlag 1994.
  • [8] R.P. Stanley. Enumerative Combinatorics, Wadsworth and Brooks/Cole, Monterey 1986.
  • [9] J. Sokołowski, J-P. Zolesio. Introduction to Shape Optimization and Shape Sensitivity Analysis, Springer Verlag, 1992.
  • [10] D. Vasilopoulos. On the determination of higher order terms of singular elastic stress fields near corners, Numerische Mathematik, 53: 51-95, 1988.
  • [11] A. Żochowski. Mathematical Problems in Shape Optimization and Shape Memory Materials, Peter Lang Verlag, 1992.
  • [12] A. Zochowski. Representation of infinite domains in FEM computations, Computers and Structures, 63: (5), 889-897, 1977.
  • [13] A. Zochowski. A simple method for improving the accuracy and convergence of FEM computations, Appl. Math. and Comp. Sci., 6(2): 321-330, 1996.
  • [14] A. Żochowski. Special methods for optimal shape design, Control and Cybernetics, 25(6): 1155-1163, 1996.
Identyfikator YADDA
bwmeta1.element.baztech-article-BPB2-0001-0139