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Application of genetic algorithms to the evaluation of the fundamental frequency of stiffened plates

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Języki publikacji
EN
Abstrakty
EN
In this paper, the analytical and numerical procedures for multi-stiffened plate free vibration analysis are presented. The plate and stiffeners are treated as an assembled plate and stiffening elements. The energy analysis leads to the nonlinear formulation of the non-dimensional frequency function formulated for a group of similar palates. The generalized optimization problem was solved by the use of the Nelder-Mead and genetic algorithms. The verification of the results obtained was performed on FEM models created for the same examples of the physical representation of the considered group of stiffened plates. This paper also aims the study of the influence of geometrical and material parameters of the stiffeners as well as the plate proportions on the fundamental frequency.
Twórcy
autor
  • AGH University of Science and Technology, Faculty of Mechanical Engineering and Robotics, Structural Acoustics and Smart Materials Group, Al. Mickiewicza 30, 30-059 Kraków, Poland, iwaniec@uci.agh.edu.pl
Bibliografia
  • [1] ASKU G., Free vibration analysis of stiffened plates by including the effect of in plane inertia, Journal of Applied Mechanics, 49, 206–212 (1982).
  • [2] BEDAIR O.K., Fundamental frequency determination of stiffened plates using sequential quadratic programming, Journal of Sound and Vibration, 199, 1, 87–107 (1997).
  • [3] CARACCIOLO A., VALETTE C., Damping mechanisms governing plate vibration, Acta Acoustica, 3, 394–404 (1995).
  • [4] CREMER L., HECKL M., UNGAR E.E., Structure-borne sound, Spring-Verlag, Berlin 1988.
  • [5] GOLDBERG D. E., Genetics algorithms and their applications, PWN, Warszawa 1995.
  • [6] HEYLEN W., LAMMENS S., SAS P., Modal analysis theory and testing division of production engineering, Machine Design and Automation, Katolicke Universiteit Leuven, Belgium, 1994.
  • [7] MUKOPADHYAY M., Vibration and stability of stiffened plates by semi–analytic finite difference method, part I: consideration of bending displacements only, Journal of Sound and Vibration, 130, 27–39 (1989).
  • [8] MUKOPADHYAY M., Vibration and stability of stiffened plates by semi–analytic finite difference method, part I: consideration of bending and axial displacements, Journal of Sound and Vibration, 130, 41–53 (1989).
  • [9] LEISSA A. W., Free vibration of rectangular plates, Journal of Sound and Vibration, 31, 257–293 (1973).
  • [10] LJUNGGREN S., Mechanical excitation of plates at low frequencies: a discussion on the use of the bending wave equation, Acta Acoustica, 3, 531–538 (1995).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT3-0039-0050
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