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Warianty tytułu
Konferencja
8th International Conference on Numerical Methods in Continuum Mechanics (September 19-24, 2000 ; Liptovsky Ján, Low Tatras ; Slovakia)
Języki publikacji
Abstrakty
The paper presents a semi-analytical method for the study of a linear differential system with variable coefficients. The solution is given in terms of real positive integer powers; it is obtained in terms of independent functions which are computed numerically. The paper extended the semi-analytical method from [1] (for one differential equation only), to the study of a linear differential system. The differential system became a system with recurrent expressions between the coefficients of the power series in a matrix form. The strength of this method is shown by application to the dynamic analysis of typical rotor blades. The frequencies and mode shapes are calculated. The results are compared with theoretical results for the degenerate cases and with results obtained through other methods.
Rocznik
Tom
Strony
424--439
Opis fizyczny
Bibliogr. 14 poz., rys., tab., wykr.
Twórcy
autor
- University "Politechnica" of Bucharest, Mechanical Department Splaiul Independentei 313, 77206
autor
- University "Politechnica" of Bucharest, Mechanical Department Splaiul Independentei 313, 77206
autor
- University "Politechnica" of Bucharest, Strength of Materials Department Splaiul Independentei 313, 77206
Bibliografia
- [1] A. Alecu, M. Boiangiu. Dynamic analysis of helicopter blades. Sixth International Congress on Sound and Vibration, Lyngby, Denmark, pp. 1901-1908, July 5-8, 1999.
- [2] A. Alecu, M. Boiangiu, V.S. Buracu. Coupled bending vibrations of helicopter blades. Scientific Bulletin University "Politehnica" of Bucharest, Series D, Mechanical Engineering, 61(3-4): 375-385, 1999.
- [3] A. Alecu, M. Boiangiu, C. Untdroiu. Coupled bending flap-torsion vibrations of helicopter blades. 5th International Symposium Transport Noise and Vibrations, St.-Petersburg, Russia, June 6-9, 2000.
- [4] D.H. Hodges. Nonlinear Equations for the Dynamics of Pretwisted Beams Undergoing Small Strains and Large Rotations. NASA TP 2470, 1985.
- [5] V. Giurgiutiu, R.O. Stafford. Semi-analytic methods for frequencies and mode shape of rotor blades. Vertica, 1(4): 291-306, 1977.
- [6] L. Meirovitch. Methods of Analytical Dynamics. McGraw Hill, New York, 1979.
- [7] V.R. Murty. Dynamic characteristics of rotor blades. J.S.V., 49(4): 483-500, 1976.
- [8] V.R. Murty. Dynamic characteristics of rotor blades integrating matrix method. A.LA.A. J., 15(4): 595-597, 1977.
- [9] A.A. Shabanah. Theory of Vibration, Vol. 2. Springer-Verlag, New York, 1991.
- [10] A.A. "Shabanah. Computational Dynamics. New York 1994.
- [11] G. Surace, V. Anghel, C. Mare. Coupled bending—bending-torsion vibration analysis of rotating pretwisted blades: An integral formulation and numerical examples. J.S.V., 206(4): 473-486, 1997.
- [12] S. Thnoshenko, D.H. Young. Vibration Problems in Engineering, 3rd ed. John Wiley and Sons, New York, 1974.
- [13] G. Wempner. Mechanics of Solids with Applications to Thin Bodies. Sijthoff and Noordhoff, Maryland, U.S.A., 1981.
- [14] A.D. Wright, C.E. Smith, R.W. Thresher, J.L.C. Wang. Vibration modes of centrifugally stiffened beams. J. Appl. Mech., 49(3): 197-202, 1982.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPB2-0006-0074