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http://yadda.icm.edu.pl:80/baztech/element/bwmeta1.element.baztech-article-BPB2-0006-0076

Czasopismo

Computer Assisted Mechanics and Engineering Sciences

Tytuł artykułu

On thickness optimization of an unilaterally supported anisotropic plate subjected to buckling

Autorzy Bock, I.  Lovišek, J. 
Treść / Zawartość http://cames.ippt.gov.pl/
Warianty tytułu
Konferencja 8th International Conference on Numerical Methods in Continuum Mechanics (September 19-24, 2000 ; Liptovsky Ján, Low Tatras ; Slovakia)
Języki publikacji EN
Abstrakty
EN We shall be dealing with the eigenvalue optimization problem for an anisotropic plate. The plate is partly unilaterally supported on its boundary and subjected to longitudinal forces causing its buckling. The state problem has then the form of an eigenvalue variational inequality expressing the deflection of the plate and the maximal possible value of the acting forces keeping its stability which corresponds to the first eigenvalue. The demand of the maximal first eigenvalue with respect to variable thicknesses of the plate means to solve the optimal design problem with eigenvalue variational inequality as the state problem. The existence of a solution in the framework of the general theory will be examined. The necessary optimality conditions will be derived. The convergence of the finite elements approximation will be verified.
Słowa kluczowe
PL optymalizacja   wartość własna   anizotropia  
EN optimization   eigenvalue   anisotropy  
Wydawca Instytut Podstawowych Problemów Techniki PAN
Czasopismo Computer Assisted Mechanics and Engineering Sciences
Rocznik 2002
Tom Vol. 9, No. 4
Strony 447--458
Opis fizyczny Bibliogr. 17 poz.
Twórcy
autor Bock, I.
autor Lovišek, J.
  • Slovak University of Technology, Department of Mathematics, 81219 Bratislava, Slovakia
Bibliografia
Kolekcja BazTech
Identyfikator YADDA bwmeta1.element.baztech-article-BPB2-0006-0076
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