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Dynamic response of coupled shaft torsion and blade bending in rotor blade system

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Abstract

This study develops a computational model for the dynamic characteristics of a rotor-blade system. The rotor-blade coupled model with pre-twisted blade attached to a rigid disk driven by a shaft is developed using the Lagrange equation in conjunction with the assumed mode method to discretize the blade deformation. The effects of axial shortening due to blade lagging deformation, centripetal force caused by the rotating blade, and gravity are included in the model. The coupled equation of motion is formulated based on the small deformation theory for the blade and shaft torsional deformation to obtain the dynamic characteristics of the system for various system parameters. Numerical simulations show that the pre-twist angle of the blade and the shaft torsional flexibility strongly influence the dynamic behavior of the rotor-blade system.

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References

  1. R. Southwell and F. Gough, The free transverse vibration of airscrew blades, British A.R.C. Report and Memoranda, No. 766 (1921). 766 (1921).

    Google Scholar 

  2. L. Schilhansl, Bending frequency of a rotating cantilever beam, Journal of Applied Mechanics, 25 (1958) 28–30.

    MathSciNet  MATH  Google Scholar 

  3. D. Pruelli, Natural bending frequency comparable to rotational frequency in rotating cantilever beam, Journal of Applied Mechanics, 39 (1972) 602–604.

    Article  Google Scholar 

  4. P. W. Likins, F. J. Barbera and V. Baddeley, Mathematical modeling of spinning elastic bodies, AIAA Journal, 11 (1973) 1251–1258.

    Article  Google Scholar 

  5. K. Kaza and R. Kvaternik, Nonlinear flap-lag-axial equations of a rotating beam, AIAA Journal, 15 (1977) 871–874.

    Article  Google Scholar 

  6. S. Putter and H. Manor, Natural frequencies of radial rotating beams, Journal of Sound and Vibration, 56 (1978) 175–185.

    Article  MATH  Google Scholar 

  7. T. Yokoyama, Free vibration characteristics of rotating Timoshenko beams, International Journal of Mechanical Sciences, 30 (1988) 743–755.

    Article  MATH  Google Scholar 

  8. S. Na, L. Librescu and J. K. Shim, Modeling and bending vibration control of nonuniform thin-walled rotating beams incorporating adaptive capabilities, International Journal of Mechanical Sciences, 45 (2003) 1347–1367.

    Article  MATH  Google Scholar 

  9. E. Dokumaci, J. Thomas and W. Carnegie, Matrix displacement analysis of coupled bending-bending vibrations of pretwisted blading, Journal of Mechanical Engineering Science, 9 (1967) 247–251.

    Article  Google Scholar 

  10. W. Carnegie and J. Thomas, The coupled bending-bending vibration of pre-twisted tapered blading, Journal of Engineering for Industry, 94 (1972) 255–266.

    Article  Google Scholar 

  11. V. Ramamurti and R. Kielb, Natural frequencies of twisted rotating plates, Journal of Sound and Vibration, 97 (1984) 429–449.

    Article  Google Scholar 

  12. S. Na, L. Librescu, S. Rim and G. Yoon, Vibration and dynamic response control of nonuniform composite rotating blades, Journal of Rotating Machinery (2006) 1–9.

    Google Scholar 

  13. S. Hoa, Vibration of a rotating beam with tip mass, Journal of Sound and Vibration, 67 (1979) 369–381.

    Article  MATH  Google Scholar 

  14. A. W. Leissa, Vibrational aspects of rotating turbomachinery blades. Applied Mechanics Reviews 34 (1981) 629–635.

    Google Scholar 

  15. J. S. Rao, Turbomachine blade vibration, Shock and Vibration Digest, 19 (1987) 3–10.

    Article  Google Scholar 

  16. E. F. Crawley, E. H. Ducharme and D. R. Mokadam, Analytical and experimental investigation of the coupled bladed disk shaft whirl of a cantilevered turbofan, Journal of Engineering for Gas Turbines and Power, 108 (1986) 567–576.

    Article  Google Scholar 

  17. A. Okabe, Y. Otawara, R. Kaneko, O. Matsushita and K. Namura, An equivalent reduced modeling method and its application to shaft-blade coupled torsional vibration analysis of a turbine-generator set, Proceedings of Institute of Mechanical Engineers, 205 (1991) 173–181.

    Article  Google Scholar 

  18. B. O. Al-Bedoor, Dynamic model of coupled shaft torsional and blade bending deformations in rotors, Computer Methods in Applied Mechanics and Engineering, 169 (1999) 177–190.

    Article  MATH  Google Scholar 

  19. B. O. Al-Bedoor, Natural frequencies of coupled bladebending and shaft-torsional vibrations, Shock and Vibration Journal, 14 (2007) 65–80.

    Google Scholar 

  20. H. S. Lim and H. H. Yoo, Modal analysis of a multi-blade system undergoing rotational motion, Journal of Mechanical Science and Technology, 23 (2009) 2051–2058.

    Article  Google Scholar 

  21. Y. S. Choi, Investigation of blade failure in a gas turbine, Journal of Mechanical Science and Technology, 24 (2010) 1969–1974.

    Article  Google Scholar 

  22. B. G. Liu, Eigenvalue problems of rotor system with uncertain parameters, Journal of Mechanical Science and Technology, 26 (2012) 1–10.

    Article  Google Scholar 

  23. B. O. Al-Bedoor and Y. A. Khulief, General planar dynamics of a sliding flexible link, Journal of Sound and Vibration, 206 (1997) 641–661.

    Article  Google Scholar 

  24. D. J. Inman, Engineering Vibrations Second Edition, Prentice-Hall (2001).

    Google Scholar 

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Authors and Affiliations

  1. Department of Mechanical Engineering, Korea University, Seoul, 136-701, Korea

    Hwanhee Lee, Ji-Seok Song & Sungsoo Na

  2. Mechanical Engineering Team, Korea South-East Power Corporation, Seoul, 135-708, Korea

    Seog-Ju Cha

Authors
  1. Hwanhee Lee
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  2. Ji-Seok Song
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  3. Seog-Ju Cha
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  4. Sungsoo Na
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Corresponding author

Correspondence to Sungsoo Na.

Additional information

Recommended by Associate Editor Cheolung Cheong

Hwanhee Lee received his B.S. degree in Mechanical Engineering from Soongsil University in 2010, and he is now a graduate student of Korea University. His research interests include vibration analysis of turbine and rotor-blade.

Ji-Seok Song received his B.S. degree in Mechanical Engineering from Korea University in 2010, and he is now a graduate student of Korea University. His research interests include nonlinear vibration analysis of aerospace composite wing structure.

Seog-Ju Cha graduated from Busan National University with his B.S. and M.S. degree both in Mechanical Engineering., and he completed Ph.D. course in Mechanical Engineering from Korea University in 2008. His research interests lies in Rubbing Vibration of large Turbine Generator.

Sungsoo Na graduated from Korea University with his B.S. and M.S. degree both in Mechanical Engineering. He earned his Ph.D. degree in 1997 at the Dept. of Engineering Science and Mechanics at VPI in USA. He has been a professor at the Dept. of Mechanical Engineering in Korea University in Seoul, Korea since 2001. His research interest lies in Vibration Control, Protein Dynamics, Protein Mechanics and BioNano Mechanics.

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Lee, H., Song, JS., Cha, SJ. et al. Dynamic response of coupled shaft torsion and blade bending in rotor blade system. J Mech Sci Technol 27, 2585–2597 (2013). https://doi.org/10.1007/s12206-013-0702-x

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  • DOI: https://doi.org/10.1007/s12206-013-0702-x

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