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2006 | Vol. 11, no 1 | 7-17
Tytuł artykułu

Frequency optimization based on semi-analytical and "exact" numerical differentiation methods

Języki publikacji
EN
Abstrakty
EN
In this paper exact sensitivity and optimization of free vibrating systems is considered. Finite element formulation of natural frequencies problem is presented. It is known that natural frequencies of free vibrations can be treated as eigenvalues of some generalized eigen-problem. Reduction of the eigenvalue system algorithm is shown. The sensitivity of eigenvalues with respect to design parameter is presented. The stiffened plate and double-disk rotor shaft system are taken as an example. The goal of optimization is to move natural frequencies as far as possible from resonance frequency. The sensitivities of objective function are calculated by three different methods: Finite Difference Method, semi-analytical method and "exact" Direct Differentiation Method. Results are compared.
Rocznik
Strony
7-17
Opis fizyczny
Bibliogr. 7 poz., rys., wykr.
Twórcy
autor
  • Department of Computational Science, Institute of Fundamental Technological Research PAS, ul. Swietokrzyska 21, 00-049 Warsaw
Bibliografia
  • [1] Kleiber M., Antunez H., Hien T.D. and Kowalczyk, P., Parameter Sensitivity in Nonlinear Mechanics, J. Wiley 1997.
  • [2] Sosnowski W. and Kleiber M., A study on the influence of friction evolution on thickness changes in sheet metal forming, Journal of Materials Processing Technology, Vol. 1-4, pp. 469-474, 1996
  • [3] Sergeyev 0. and Mroz Z., Sensitivity analysis and optimal design of 3D frame structures for stress and frequency constrain, Computers and Structures, 75, pp. 167-185, 2000
  • [4] Hien T.D. Deterministic and Stochastic sensitivity in Computational Structural Mechanics, IFTR Reports, 46/1990
  • [5] Zienkiewicz O.C. and Taylor R.L. The Finite Element Method 5th edition, BH 2000
  • [6] Marczewska I., Sosnowski W., Marczewski A. and Bednarek T., Topology and Sensitivity - Based Optimization of Stiffened Plates and Shells, World Congres on Structural and Multidisciplinary Optimization WCSMO-5, on CD, Lido di Jesolo, 2003.
  • [7] Marczewska I., Bednarek T., Marczewski A., Sosnowski W., Jakubczak H. and Rojek J., Practical fatigue analysis of hydraulic cylinders and some design recommendations, International Journal of Fatigue, in print, 2006.
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT5-0010-0059