Kazan (Volga region) Federal University, KFU
KAZAN
FEDERAL UNIVERSITY
 
ALTERNATIVE STATEMENTS OF OPTIMAL LOAD-BEARING STRUCTURE DESIGN PROBLEMS
Form of presentationArticles in international journals and collections
Year of publication2007
  • Pavlenko Aleksey Petrovich, author
  • Other authors Kretov A.S.; Snigirev V.F.
    Bibliographic description in the original language Pavlenko A.P., Kretov A. S., Snigirev V. F. Alternative statements of optimal load-bearing structure design problems // Russian Aeronautics (Iz VUZ). March 2007, Volume 50, Issue 1, pp 1-9. Original Russian Text Copyrights A.S. Kretov, A.P. Pavlenko, V.F. Snigirev, 2007, published in Izvestiya VUZ. Aviatsionnaya Tekhnika, Vol. 50, 2007, No. 1, pp. 3–8.
    Annotation We analyze the well-known statements of optimal design problems for load-bearing maximum rigidity structures in which a principle of the minimum of total potential energy of structure deformation is used. A version of the generalized statement of optimization problems for processes described by linear equations with a symmetric operator is proposed. On the basis of the version outlined, we present a mathematical algorithm for obtaining beam structures of maximum rigidity, in which the finite element method is used to solve an analytical problem. We give the numerical results of solving two problems of optimal design of maximum rigidity structures that are simulated by cantilever and statically indeterminate beams.
    Keywords optimal load-bearing structure, design problems
    The name of the journal Russian Aeronautics
    URL http://link.springer.com/article/10.3103/S1068799807010011
    Please use this ID to quote from or refer to the card https://repository.kpfu.ru/eng/?p_id=92818&p_lang=2
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    Russian.Aeronautics.pdf 0,31 pdf show / download
    art%3A10.3103%2FS1068799807010011.pdf 0,31 pdf show / download

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