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Free Vibrations of Timoshenko Beam with End Mass in the Field of Centrifugal Forces

Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
An analysis of natural frequencies and modes for a cantilever radial rotating beam with end mass is carried out within framework of Timoshenko beam model, on the base of convenient dimensionless equations of motion depended only on two dimensionless parameters. It is shown that the shear deformations at high angular speeds lead to significant changes in the natural modes, and as a consequence – to relevant qualitative effects for the natural frequencies.
Rocznik
Strony
37--51
Opis fizyczny
Bibliogr. 25 poz.
Twórcy
  • Dnepropetrovsk National University, Ukraine
  • Dnepropetrovsk National University, Ukraine
Bibliografia
  • [1] Biezeno, C. B., Grammel, R.: Technische Dynamik, Berlin, Springer, 1 Aufl., 1939, 2 Aufl., 1953.
  • [2] Southwell, R. V.: An Introduction to the Theory of Elasticity, 2nd edition, 1941.
  • [3] Schilhans, I. M.: Bending frequency of rotating cantilever beam, J. Appl. Mech. Trans. Am. Soc. Mech. Engng., 25, 28–30, 1958.
  • [4] Downs, B.: Transverse vibrations of cantilever beam having unequal breadth and depth tapers, ASME J. Appl. Mech., 44, 737–742, 1977.
  • [5] Swaminathan, M. and Rao, J. S.: Vibrations of rotating, pretwisted and tapered blades, Mech. Mach. Theory, 12, 331–337, 1977.
  • [6] Putter, S. and Manor, H.: Natural frequencies of radial rotating beams, J. Sound Vibr., V. 56, issue 2, p. 175–185, 1978.
  • [7] Gupta R. S. and Rao J. S.: Finite element eigenvalue analysis of tapered and twisted Timoshenko beams, J. Sound Vib., 56(2), 187–200, 1978.
  • [8] Fox, C. and Burdress, J.: The natural frequencies of a thin rotating cantilever with offset root, J. Sound. Vib., 65, 151–158, 1979.
  • [9] Yoo, H. H. and Shin, S. H.: Vibration analysis of rotating cantilever beams, J. Sound. Vib., 212, 807–828, 1998.
  • [10] Yokoyama, T.: Free vibration characteristics of rotating Timoshenko beams, Int. J. Mech. Sci., 38, 743–755, 1988.
  • [11] Bazoune, A. and Khulief, Y. A.: A finite beam element for vibration analysis of rotating tapered Timoshenko beams, J. Sound Vib., 156, 141–164, 1992.
  • [12] Lee, S. and Lin, S.: Bending vibrations of rotating nonuniform Timoshenko beams with an elastically restrained root, J. Appl. Mech., 61, 949–955, 1994.
  • [13] Khulief, Y. A. and Bazoune, A.: Frequencies of rotating tapered Timoshenko beams with different boundary conditions, Comput. Struct., 42, 781–795, 1992.
  • [14] Lee, S. Y. and Lin, S. M.: Bending vibrations of rotating non-uniform Timoshenko beams with an elastically restrained root, J. Appl. Mech., 61, 949–955, 1994.
  • [15] Banerjee, J. R.: Dynamic stiffness formulation and free vibration analysis of centrifugally stiffened Timoshenko beams, J. Sound Vib., 247(1), 97–115, 2001.
  • [16] Kaya, M. O.: Free vibration analysis of rotating Timoshenko beams by differential transform method, Aircr. Eng. Aerosp. Tech., 78(3), 194–203, 2006.
  • [17] Ozdemir Ozgumus, O. and Kaya, M. O.: Flapwise bending vibration analysis of a rotating double–tapered Timoshenko beam, Arch. Appl. Mech., 78, 379–392, 2008.
  • [18] Kovalenko V. I.: The determination of natural frequencies of short blades of steam turbines, (in Russian), Ing. J. Mekhanika tverdogo tela, 6, 41–45, 1968.
  • [19] Hoa J.: Vibration of a rotating beam with tip mass, J. Sound. Vibr., 67, 369–381, 1979.
  • [20] Lau, J. H.: Vibration frequencies of tapered bars with end mass, ASME J. Appl. Mech., 51, 179–181, 1984.
  • [21] Lin, S. M., Wu, C. T. and Lee, S. Y.: Analysis of rotating nonuniform pretwisted beams with an elastically restrained root and a tip mass, Int. J. Mech. Sci., 45, 741–755, 2003.
  • [22] Timoshenko, S.: Vibration Problems in Engineering, 5th ed. Wiley-Interscience, New York, 1990.
  • [23] Manevich, A.: Transverse waves in a Timoshenko beam of visco–elastic material, (in Russian), Theoretical Foundations of Civil Engineering, Warsaw, 17, 217–228, 2009.
  • [24] Manevich, A. and Kołakowski, Z.: Free and forced oscillations of Timoshenko beam made of viscoelastic material, J. of Theor. Appl. Mech., Warsaw, V. 49, No. 1, pp. 3–16, 2011.
  • [25] Manevich, A. I. and Vlasova, V. Yu.: Oscillations of a beam with end mass in the field of the centrifugal inertia force, (in Russian), Reports of the Dnepropetrovsk State University, series ”Mechanics” , Vol. 14, N 2, p. 63–70, 2010.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-24a95b67-36b7-4bd3-9921-2d71a59117b2
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