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Simulative approach to solution of optimal design problems of shell construction

Wybrane pełne teksty z tego czasopisma
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The paper presents simulative approach to structural optimization problems of shell construction, which are under static loads or realize free vibrations. Optimization (control) functions are the functions, which determine middle surface, thickness (or internal and external surfaces) and physical properties of shell. As a result of approximation of optimization functions we received the mathematical programming problem. Static problems and free vibration problems are solved by the finite element method using isoparametric finite element approximations. Such characteristics as weight, functional of displacement, stress, eigenvalues are calculated according to full models and simulative models. To approximate these characteristics the multiplicative functions are used, parameters of which are calculated using the value of the functions and their derivatives. The examples of optimization of shell constructions demonstrate the capabilities of the present approach.
Rocznik
Strony
87--106
Opis fizyczny
Bibliogr. 14 poz.
Twórcy
autor
  • Departament of Applied Mathematics, Ivan Franko National University of Lviv, Universytetska Str. 1, Lviv, 79000
  • Departament of Applied Mathematics, Ivan Franko National University of Lviv, Universytetska Str. 1, Lviv, 79000
  • Departament of Applied Mathematics, Ivan Franko National University of Lviv, Universytetska Str. 1, Lviv, 79000
Bibliografia
  • [1] Picked R.M., Rubinstein M.F., Nelson R.B.: Automated structural synthesis using a reduced number of design coordinates. AIAA Journal, 1973, Vol.11, N4, pp.484-494.
  • [2] Haug E.J., Arora J.S.: Applied optimal design. Mechanical and structural systems, John Wiley & Sons, New York, 1979.
  • [3] Banichuk N.V.: Introduction to structure optimization [in Russian], Nauka, Moscow, 1986.
  • [4] Haug E.J., Choi K., Komkov V.: Design sensitivity analysis of structural systems, Academic Press, New York, 1986.
  • [5] Gill P.E., Murray W., Wright M.H.: Practical optimization, Academic Press, New York, 1981.
  • [6] Malkov V.P., Ugodchikov A.G.: Optimization of elastic systems [in Russian], Nauka, Moscow, 1981.
  • [7] Fleyshman N.P., Ivankiv K.S.: Optimal design of compound shells and plates by geometric programming method [in Russian], Dynamika i Prochnost Mashin, 1984, Vol. 40, pp. 56-61.
  • [8] Bletzinger K.-U, Ramm E.: Structural optimization as tool for shape design, In: Numerical Methods in Engineering’92, Eds. Hirsch, Ch. et al., Elsevier Science Publishers B.V., 1992, pp. 465-477.
  • [9] Pelekh B.L.: Generalized shells theory [in Russian], Wyshcha Shkola, Lviv, 1978.
  • [10] Savula Y.G., Fleyshman N.P.: Analysis and optimization of shells with Monge middle surface [in Russian], Wyshcha Shkola, Lviv, 1989.
  • [11] Litvinov V.G.: Optimization in elliptical boundary problems with applying to mechanic [in Russian], Nauka, Moscow, 1987.
  • [12] Savula Y.G., Shcherbatyy M.V.: Sensitivity analysis at the optimization of compound shell constructions [in Russian], Mechanika Tverdogo Tila, 1990, N1, pp. 137-143.
  • [13] Shcherbatyy M.V.: Eigenvalue optimization of compound elastic rotational shells [in Ukrainian], Visnyk Lvivskogo Universytetu, Lviv, 1995, N41, pp. 114-123:
  • [14] Zavyalov Y.S.,. Kvasov V.I., Miroshnichenko V.L.: Spline Function Methods [in Russian], Nauka, Moscow, 1980.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-LOD7-0027-0083
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