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Stability constraints in optimization of cracked columns subjected to compressive follower load

Wybrane pełne teksty z tego czasopisma
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Języki publikacji
EN
Abstrakty
EN
Maximization of the critical force of cracked columns, subjected to generalized follower force is discussed in the paper. The crack is assumed to be formed according to the opening and sliding modes and is modeled by a localized loss of stiffness. Influence of the crack stiffness and its locallzation on the value of the critical force is analyzed. The optimization process is based on the multimodal approach. The localization of crack with the critical force of the system equal to 137.17 EJ/L2 is found.
Słowa kluczowe
Rocznik
Strony
281--292
Opis fizyczny
Bibliogr. 14 poz., wykr.
Twórcy
autor
  • Polish Academy of Sciences, Institute of Fundamental Technologicai Research, Świetokrzyska, 21, Warszawa
Bibliografia
  • 1. Sz. IMIEŁOWSKI, Modal forms of columns subjected to generalized follower force, [in:] Theoretical Foundation of Civil Engineering, X Ukrainian-Polish Transaction, W. SZCZEŚNIAK [Ed.], 10, 141-150, 2002. 2.
  • 2. Sz. IMIEŁOWSKI, R. BOGACZ, W. KURNIK, Fixed point in frequency domain of structures subjected to generalized follower force, Machine Dynamic Problems, 25,3/4, 169-182, 2001.
  • 3. J. L. CLAUDON, Characteristic curves and optimum design of two structures subjected to circulatory loads, J. de Mecanique, 14, 3, 531-543, 1975.
  • 4. M. HANAOKA, K. WASHIZU, Optimum design of Beck's column, Computers and Structures, II, 6, 473-480, 1980.
  • 5. R. BOGACZ, O MAHRENHOLT, On stabilityty of column under circulatory load, Archives of Mechanics, 38,3, 281-287, 1986.
  • 6. R. BOGACZ, H. IRRETIER, O MAHRENHOLTZ, Optimal design of structures under nonconservative forces with stability constraints, ,Bracketing of eigenfrequencies of continuous structures. Proc. Euromech 112, Budapest, Hungary, 43-65, 1979.
  • 7. M. ŻYCZKOWSKI, A. GAJEWSKI, Optimal structural design, Proc. IUTARQ Symp. Non-Conservative Problems of Elastic Stability, Herrenhalb/ Karlsruhe 1969, Springer Verlag, 295-301, 1971.
  • 8. Y. TADA, Y.SEGUCHI, K. KEMA, Shape determination of nonconservative structural Systems by the inverse variational principle. Memoirs of the Faculty of Engineering., Kobe University, 32, 45-61, 1985.
  • 9. M. ŻYCZKOWSKI, Stability of bars and bar structures: in: Strength of structural elements, M. ŻYCZKOWSKI [E d..], 242-381, Elsevier, 1991.
  • 10. W. M. OSTACHOWICZ, M. K RAWCZUK, Analysis of the effect of cracks on the natural Frequencies of a cantilever beam, Journal of Sound and Vibration (Academic Press), 150,2, 191-201, 1991.
  • 11. M. K RAWCZUK, W. M. OSTACHOWICZ, Influence of cracks on dynamic stability of column, Journal of Sound and Vibration (Academic Press), 167, 3, 541-555, 1993.
  • 12. Y. TADA, R. MATSURNOTO, A. OKU, Shape determination of nonconservative structural systems, Proc. 1st Int. Conf. Computer Aided Optimum Design of Structures: Recent Advances, Southampton, 13-21, Springer, Berlin, 1989.
  • 13. R. BOGACZ, Sz. IMIEŁOWSKI, Remarks on stability of discrete-continuous structure under circulatory load, J. Theor. Appl. Mechanics, 4. 32, 903-919, 1994.
  • 14. Q. WANG, A comprehensive stability analysis of a cracked beam subjected to follower compression, Int. Journal of Solids and Structures, 41, 4875-4888, 2004.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPB1-0036-0013
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