Skip to main content

Effects of the Geometry of Friction Interfaces on the Nonlinear Dynamics of Jointed Structure

Part of the Conference Proceedings of the Society for Experimental Mechanics Series book series (CPSEMS)


Friction interfaces are commonly used in large-scale engineering systems for mechanical joints. They are known to significantly shift the resonance frequencies of the assembled structures due to softening effects and to reduce the vibration amplitude due to frictional energy dissipation between substructural components. It is also widely recognized that the geometrical characteristics of interface geometry have a significant impact on the nonlinear dynamical response of assembled systems. However, the full FE modeling approaches including these geometrical characteristics are extremely expensive. In this work, the influence of geometry of friction interfaces is investigated by using a multi-scale approach. It consists in integrating a semi-analytical contact solver into a high-fidelity nonlinear vibration solver. A highly efficient semi-analytical solver based on the boundary element method is used to obtain the pressure and gap distribution from the contact interface with different geometrical characteristics. The static pressure and gap distribution are then used as input for a nonlinear vibration solver to evaluate nonlinear vibrations of the whole assembled structure. The effectiveness of the methodology is shown on a realistic “Dogbone” test rig, which was designed to assess the effects of blade root geometries in a fan blade disk system. The friction joints with different interface profiles are then investigated. The obtained results show that the effects of the surface geometrical characteristics can have a significant impact on the damping and resonant frequency behavior of the whole assembly.


  • Friction interface
  • Nonlinear vibration
  • Multi-scale analysis
  • Contact mechanics
  • Nonlinear modal analysis

This is a preview of subscription content, access via your institution.

Buying options

USD   29.95
Price excludes VAT (USA)
  • DOI: 10.1007/978-3-030-77135-5_7
  • Chapter length: 8 pages
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
USD   219.00
Price excludes VAT (USA)
  • ISBN: 978-3-030-77135-5
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Hardcover Book
USD   279.99
Price excludes VAT (USA)
Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7


  1. Yuan, Y., Jones, A., Setchfield, R., Schwingshackl, C.W.: Robust design optimisation of underplatform dampers for turbine applications using a surrogate model. J. Sound Vib. 494, 115528 (2020)

    CrossRef  Google Scholar 

  2. Sun, Y., Yuan, J., Denimal, E. and Salles, L.: Nonlinear modal analysis of frictional ring damper for compressor Blisk. In: Turbo Expo: Power for Land, Sea, and Air. American Society of Mechanical Engineers (2020)

    Google Scholar 

  3. Armand, J., Salles, L., Schwingshackl, C.W., Süß, D., Willner, K.: On the effects of roughness on the nonlinear dynamics of a bolted joint: a multiscale analysis. Eur J Mech A Solid. 70, 44–57 (2018)

    CrossRef  Google Scholar 

  4. Petrov, E.P.: Direct parametric analysis of resonance regimes for nonlinear vibrations of bladed disks. J. Turbomach. 129(3), 495–502 (2006)

    CrossRef  Google Scholar 

  5. Krack, M., Tatzko, S., Panning-von Scheidt, L., Wallaschek, J.: Reliability optimization of friction-damped systems using nonlinear modes. J. Sound Vib. 333(13), 2699–2712 (2014)

    CrossRef  Google Scholar 

  6. Tang, W., Epureanu, B.I.: Geometric optimization of dry friction ring dampers. Int J Nonlinear Mech. 109, 40–49 (2019)

    CrossRef  Google Scholar 

  7. Panning, L., Sextro, W., Popp, K.: Optimization of the contact geometry between turbine blades and underplatform dampers with respect to friction damping. In: Proceedings of the ASME Turbo Expo 2002: Power for Land, Sea, and Air. Volume 4: Turbo Expo 2002, Parts A and B. Amsterdam, The Netherlands, pp. 991–1002

    Google Scholar 

  8. Gallego, L., Fulleringer, B., Deyber, S., Nelias, D.: Multiscale computation of fretting wear at the blade/disk interface. Tribol. Int. 43(4), 708–718 (2010)

    CrossRef  Google Scholar 

  9. Hüls, M., Panning-von Scheidt, L., Wallaschek, J.: Influence of geometric design parameters onto vibratory response and high-cycle fatigue safety for turbine blades with friction damper. J. Eng. Gas Turbines Power. 141(4) (2019)

    Google Scholar 

  10. Delaune, X., de Langre, E., Phalippou, C.: A probabilistic approach to the dynamics of wear tests. J. Trib. 122(4), 815–821 (2000)

    CrossRef  Google Scholar 

  11. Gastaldi, C., Berruti, T.M., Gola, M.M.: The effect of surface finish on the proper functioning of underplatform dampers. J. Vib. Acoust. 142(5) (2020)

    Google Scholar 

  12. Salles, L.C., Blanc, L., Thouverez, F., Gouskov, A.M., Jean, P.: Dynamic analysis of a bladed disk with friction and fretting-wear in blade attachments. ASME Turbo Expo 2009: Power for Land, Sea, and Air, Jun 2009, Orlando, vol. 48876, pp. 465–476 (2009)

    Google Scholar 

  13. Krack, M.: Nonlinear modal analysis of nonconservative systems: extension of the periodic motion concept. Comput. Struct. 154, 59–71 (2015)

    CrossRef  Google Scholar 

  14. Laxalde, D., Thouverez, F.: Complex non-linear modal analysis for mechanical systems: application to turbomachinery bladings with friction interfaces. J. Sound Vib. 322(4–5), 1009–1025 (2009)

    CrossRef  Google Scholar 

  15. Krack, M., Salles, L., Thouverez, F.: Vibration prediction of bladed disks coupled by friction joints. Arch Comput Methods Eng. 24(3), 589–636 (2017)

    CrossRef  Google Scholar 

  16. Schwingshackl, C.W., Zolfi, F., Ewins, D.J., Coro, A., Alonso, R.: Nonlinear friction damping measurements over a wide range of amplitudes. In: Proceedings of the international modal analysis conference XXVII, Orlando (2009)

    Google Scholar 

  17. Sun, Y., Vizzaccaro, A., Yuan, J., Salles, L.: An extended energy balance method for resonance prediction in forced response of systems with non-conservative nonlinearities using damped nonlinear normal mode. Nonlinear Dynamics. 103, 3315–3333 (2020)

    CrossRef  Google Scholar 

Download references


The authors would like to acknowledge the financial support from the EPSRC under SYSDYMATS project, Grand Ref: EP/R032793/1.

Author information

Authors and Affiliations


Corresponding author

Correspondence to Jie Yuan .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 2022 The Society for Experimental Mechanics, Inc

About this paper

Verify currency and authenticity via CrossMark

Cite this paper

Yuan, J., Salles, L., Schwingshackl, C. (2022). Effects of the Geometry of Friction Interfaces on the Nonlinear Dynamics of Jointed Structure. In: Kerschen, G., Brake, M.R., Renson, L. (eds) Nonlinear Structures & Systems, Volume 1. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham.

Download citation

  • DOI:

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-77134-8

  • Online ISBN: 978-3-030-77135-5

  • eBook Packages: EngineeringEngineering (R0)