Skip to main content
Log in

Dynamic stability of a rotor with shear-flexible shaft under axial loads

  • Published:
Journal of Mechanical Science and Technology Aims and scope Submit manuscript

Abstract

The dynamic stability of shear-flexible rotating shaft with a disk under axial forces has been studied by employing the transfer matrix method. The conventional transfer matrix was modified to include both the applied axial force and the shear deformation. The shear effect is considered based on Engesser’s and Haringx’s buckling theories for shear-flexible beam. A computer program was developed to investigate the influence of both the axial force and the shear deformation on the stability and the natural frequencies of general rotor systems. Two rotor system models are considered: the overhung rotor with or without an intermediate support and the simply supported Jeffcott rotor. The effect of shear deformation and the difference between the Engesser and Haringx approaches increase with an intermediate support for an overhung rotor.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. R. C. Shieh, Some principle of elastic shaft stability including variational principles, ASME J. of Applied Mechanics, 49 (1982) 191–196.

    Article  MATH  Google Scholar 

  2. K. Czolczynski and K. P. Marynowski, Instabilities of the elastically supported laval rotor subjected to a longitudinal force, J. of Sound and Vibration, 154 (1992) 281–288.

    Article  MATH  Google Scholar 

  3. K. B. Yim and B.-J. Ryu, Effect of load torque on the stability of overhung rotors, J. of Mechanical Science and Technology, 25(3) (2011) 589–595.

    Article  Google Scholar 

  4. N. Khader, Stability of rotating shafts loaded by follower axial force and torque load, J. of Sound and Vibration, 182 (1995) 759–773.

    Article  Google Scholar 

  5. C. W. Lee and J. S. Yun, Dynamic analysis of flexible rotors subjected to torque and force, J. of Sound and Vibration, 192 (1996) 439–452.

    Article  Google Scholar 

  6. K. B. Yim and J. Yim, Dynamic behavior of overhung rotors subjected to axial forces, International J. of Precision Engineering and Manufacturing, 13(9) (2012) 1575–1580.

    Article  Google Scholar 

  7. L.-W. Chen and W.-K. Peng, Dynamic stability of rotating composite shafts under periodic axial compressive loads, J. of Sound and Vibration, 212(2) (1998) 215–230.

    Article  MathSciNet  Google Scholar 

  8. D.-M. Ku and L.-W. Chen, Stability and whirl speeds of rotating shaft under axial loads, International J. of Analytical and Experimental Modal Analysis, 9(2) (1994) 111–123.

    Google Scholar 

  9. H.-C. Sheu and L.-W. Chen, A lumped mass model for parametric instability analysis of cantilever shaft-disk systems, J. of Sound and Vibration, 234(2) (2000) 331–348.

    Article  Google Scholar 

  10. S. P. Timoshenko and J. M. Gere, Theory of elastic stability, New York, McGraw-Hill (1961) 132–135.

    Google Scholar 

  11. M. M. Attard, J. S. Lee, M. Y. Kim, Dynamic stability of Shear-flexible Beck’s columns based on Engesser’s and Haringx’s Buckling theories, J. of computers and Structures, 86 (2008) 2042–2055.

    Article  Google Scholar 

  12. L. G. Arboleda-Monsalve, D. G. Zapata-Medina and J. D. Aristizabal-Ochoa, Stability and natural frequencies of a weakened Timoshenko beam-column with Generalized end conditions under constant axial load, J. of Sound and Vibration, 307 (2007) 89–112.

    Article  Google Scholar 

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

    Article  Google Scholar 

  14. W. Hao, Z. Qiong, Z. Zhiming and A. Qi, Vibration analysis on the rolling element bearing-rotor system of an air blower, J. of Mechanical Science and Technology, 26(3) (2012) 653–659.

    Article  Google Scholar 

  15. K. B. Yim, S. T. Noah and J. M. Vance, Effect of tangential torque on the dynamics of flexible rotors, ASME J. of Applied Mechanics, 53 (1986) 711–718.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to K. B. Yim.

Additional information

Recommended by Associate Editor Ohseop Song

K. B. Yim received his Ph.D. degree in Mechanical Engineering from Texas A&M University. His research interests are in the area of structural vibration and rotordynamics.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Yim, K.B., Yim, J.T. Dynamic stability of a rotor with shear-flexible shaft under axial loads. J Mech Sci Technol 27, 359–366 (2013). https://doi.org/10.1007/s12206-013-0102-2

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12206-013-0102-2

Keywords

Navigation