Skip to main content
Log in

Dynamic Study of a Structure with Flexion-Torsion Coupling in the Presence of Dry Friction

  • Published:
Nonlinear Dynamics Aims and scope Submit manuscript

Abstract

In aero engines, blade vibrations are frequently reduced by centrifugal flyweights, which exert a dry friction force per unit length under blade platforms. The response of this system to a periodic load has been analysed experimentally and theoretically. From a model having mode shapes similar to those of a blade, and a dry friction link per unit length, we show that the presence of the dry friction link is very effective in reducing vibrations for a range of excitation loads. The theoretical analysis is based on the Craig and Bampton mode synthesis, the rigid movement of the platform in its plane and the replacing of the linear dry friction link by several discrete parallel systems. Direct integration of the equations of motion is carried out by using the Newmark method. The comparison with experimental results is good. This method can easily be extended to more complex structures and shows that the dry friction link is effective when stick-slip occurs in the contact zone by limiting the energy provided to the system.

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.

Similar content being viewed by others

References

  1. Korkmaz, I., Barrau, J. J., Berthillier, M., and Crézé, S. 'Theoretical dynamic analysis of a cantilever beam damped by a dry friction damper', in Proceedings of the 1995 Design Engineering Technical Conferences, the 15th Biennial Conference on Mechanical Vibration and Noise, Boston, MA, September 17–20, 1995, pp. 1117–1124.

  2. Wang, J. H. and Chen. W. K. 'Investigation of the vibration of a blade with friction damper by HBM', Journal of Enginneering for Gas Turbines and Power 115, 1993, 294–299.

    Google Scholar 

  3. Ferri, A. A., 'The dynamics of dry friction damped systems', Dissertation, Princeton University, 1985.

  4. Sinha, A. and Griffin, J.H., 'Effects of static friction on the forced response of frictionally damped turbine blades', Journal of Engineering for Gas Turbines and Power 106(1), 1984, 65–69.

    Google Scholar 

  5. Menq, C. H., Bielak, J., and Griffin, J. H., 'Influence of microslip on vibratory response, Part 1: A new microslip model', Journal of Sound and Vibration 107(2), 1986, 279–293.

    Google Scholar 

  6. Menq, C. H., Griffin, J. H., and Bielak, J., 'Forced response of shrouded fan stages', Journal of Vibration, Acoustics, Stress, and Reliability in Design 108(1), 1986, 50–55.

    Google Scholar 

  7. Wang, J. H. and Shieh, W. L., 'The influence of a variable friction coefficient on the dynamic behaviour of a blade with a friction damper', Journal of Sound and Vibration 149(1), 1991, 137–145.

    Google Scholar 

  8. Dowell, E. H. and Schwartz, H. B., 'Forced response of a cantilever beam with a dry friction damper attached, Part 1: Theory', Journal of Sound and Vibration 91(2), 1983, 255–267.

    Google Scholar 

  9. Cardona, A., Coune, T., Lerusse, A., and Geradin, M., 'A multi-harmonic method for non-linear vibration analysis', International Journal for Numerical Methods in Engineering 37, 1994, 1593–1608.

    Google Scholar 

  10. Berthillier, M., Dupont, C., Mondal, R., and Barrau, J. J., 'Blades forced response analysis with friction dampers', ASME, Journal of Vibration and Acoustics, 1995 (accepted for publication).

  11. Craig, R. R. Jr. and Bampton, M. C. C., 'Coupling of substructures for dynamic analyses', AIAA Journal 6(7), 1968, 1313–1319.

    Google Scholar 

  12. Toufine, A., Barrau, J. J., and Berthillier, M., 'Dynamic analysis of turbo prop engine blade with dry friction', Revue du GAMI: Mécanique Industrielle et Matériaux 49(4), 1996, 202–205.

    Google Scholar 

  13. Ferrero, J. F. and Barrau, J. J., 'Study of dry friction under small displacements and near zero sliding velocity', Wear 209, 1997, 322–327.

    Google Scholar 

  14. Toufine, A., 'Dynamique de structures en présence de frottement sec: Application aux aubes de turboréacteurs', Thèse de doctorat, ENSAE Toulouse, 1997.

  15. Vanderplaats, G. N., Numerical Optimization Techniques for Engineering Design: With Applications, McGraw-Hill, New York, 1984.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Toufine, A., Barrau, J.J. & Berthillier, M. Dynamic Study of a Structure with Flexion-Torsion Coupling in the Presence of Dry Friction. Nonlinear Dynamics 18, 321–337 (1999). https://doi.org/10.1023/A:1008354622625

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1008354622625

Navigation