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Tytuł artykułu

Optimal design of bar structures with their supports in problems of stability and free vibrations

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The problem of maximization of the buckling load and the problem of maximization of the natural vibration frequency under a condition imposed on the global cost is discussed. Cross-sectional areas of bar structures and number of elastic supports, their positions and stiffnesses (or the number and positions of rigid supports) are selected as design parameters. The proposed here algorithm of optimization of bar structures with their supports is applied for analysis of some optimization problems. Illustrative examples confirm applicability of the proposed approach.
Rocznik
Strony
533--546
Opis fizyczny
Bibliogr. 17 poz., rys., tab.
Twórcy
autor
  • Kielce University of Technology, Faculty of Management and Computer Modelling, Kielce, Poland
  • Kielce University of Technology, Faculty of Management and Computer Modelling, Kielce, Poland
Bibliografia
  • 1. Åakeson B., Olhoff N., 1988, Minimum stiffness of optimally located supports for maximum value of beam eigenfrequencies, Journal of Sound and Vibration, 120, 457-463
  • 2. Bojczuk D., 1999, Sensitivity Analysis and Optimization of Bar Structures (in Polish), Publishing House of Kielce University of Technology, Kielce
  • 3. Bojczuk D., 2001, Finite element formulation of sensitivity analysis for non-linear structures in critical states, Proceedings of 2nd European Conference on Computational Mechanics, Cracow, on CD-ROM
  • 4. Bojczuk D., 2007, Optimization of buckling load and natural vibration frequency for bar structures with variable support conditions, Proceedings of the 17th International Conference on Computer Methods in Mechanics, Łódź-Spała, on CD-ROM
  • 5. Bojczuk D., Mroz Z., 1998, On optimal design of supports in beam and frame structures, Structural Optimization, 16, 47-57
  • 6. Du J., Olhoff N., 2007, Topology optimization of freely vibrating continuum structures for maximum values of simple and multiple eigenfrequencies and frequency gaps, Structural and Multidisciplinary Optimization, 34, 91-110
  • 7. Garstecki A., Mroz Z., 1987, Optimal design of supports of elastic structures subject to loads and initial distortions, Mechanics of Structures and Machines, 15, 47-68
  • 8. Mills-Curran C.W., 1987, Calculation of eigenvector derivatives for structures with repeated eigenvalues, AIAA Journal, 26, 867-871
  • 9. Mroz Z., 1980, On optimal force action and reaction on structures, SM Archives, 5, 475-496
  • 10. Mroz Z., Bojczuk D., 2003, Finite topology variations in optimal design of structures, Structural and Multidisciplinary Optimization, 25, 153-173
  • 11. Mroz Z., Lekszycki T., 1982, Optimal support reaction in elastic frame structures, Composite Structures, 14, 179-185
  • 12. Mroz Z., Rozvany G.I.N., 1975, Optimal design of structures with variable support positions, Journal of Optimization Theory and Applications, 15, 85-101
  • 13. Olhoff N., Åakeson B., 1991, Minimum stiffness of optimally located supports for maximum value of column buckling loads, Structural Optimization, 3, 163-175
  • 14. Szeląg D., Mroz Z., 1978, Optimal design of elastic beams with unspecified support positions, ZAMM, 58, 501-510
  • 15. Timoshenko S.P., Gere J.M., 1963, Theory of Elastic Stability, McGraw-Hill, New York
  • 16. Tsai T.D., Cheng C.C., 2013, Structural design for desired eigenfrequencies and mode shapes using topology optimization, Structural and Multidisciplinary Optimization, 47, 673-686
  • 17. Zhu J., Zhang W., 2006, Maximization of structural natural frequency with optimal support layout, Structural and Multidisciplinary Optimization, 31, 462-469
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-8514eb62-25fb-404f-98c6-63d95ed0ea2f
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