Semi-analytical method for the dynamic analysis

• Autorzy: Alecu A. M. , Boiangiu M. I. , Anghel V. I.
• Konferencja: 8th International Conference on Numerical Methods in Continuum Mechanics (September 19-24, 2000 ; Liptovsky Ján, Low Tatras ; Slovakia)
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

semi-analytical method; dynamic analysis

PL

metoda półanalityczna; analiza dynamiczna

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Computer Assisted Mechanics and Engineering Sciences
• Rocznik: 2002
• Tom: Vol. 9, No. 4
• Strony: 424--439
• Opis fizyczny: Bibliogr. 14 poz., rys., tab., wykr.

Twórcy

autor

Alecu A. M.

• University "Politechnica" of Bucharest, Mechanical Department Splaiul Independentei 313, 77206

autor

Boiangiu M. I.

• University "Politechnica" of Bucharest, Mechanical Department Splaiul Independentei 313, 77206

autor

Anghel V. I.

• 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.