3D FE modelling of non-linear dynamics of bladed model disk with dry-friction contacts in tie-bosses

  • Luděk PešekEmail author
  • Pavel Šnábl
  • Petr Šulc
  • Ladislav Půst
  • Vítězslav Bula
Conference paper
Part of the Mechanisms and Machine Science book series (Mechan. Machine Science, volume 73)


The numerical solution of the turbine bladed wheel with tie-bosses based on 3D finite element method with surface to surface dry friction contact model is proposed. The Augmented Lagrangian method was used to compute contact normal pressures and friction stresses. The friction coupling was modeled by the Isotropic Coulomb’s law. To validate the numerical results, the experimental set-up for studying dynamical behavior of the bladed wheel with pre-stressed dry-friction contacts in tie-bosses was built. Both experimental and numerical solutions of the non-linear dynamics of bladed wheel with tie-bosses are described. Comparison of experimental and numerical results of dynamical behavior and damping estimation of our bladed wheel design yielded a reasonable agreement. However, the non-linear solution due to dry friction contacts leads to high performance computations and still long computation times.


Bladed wheel dry-friction contacts damping tie-boss couplings 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.



This work was supported by the research project of the Czech Science Foundation No. 16-04546S “Aero-elastic couplings and dynamic behaviour of rotational periodic bodies”. ”. The HPC calculations was supported by The Czech Ministry of Education, Youth and Sports from the Large Infrastructures for Research, Experimental Development and Innovations project „IT4Innovations National Super-computing Center – LM2015070“


  1. 1.
    Bachschmid N., Bistolfi S., Ferrante M., Pennacchi P. (2011) An investigation on the dynamic behavior of blades coupled by shroud contacts, Proc. of SIRM 2011, pp. 1-10, Darmstadt, GermanyGoogle Scholar
  2. 2.
    Pennacchi P., Chatterton S., Bachschmid N., Pesatori E., Turozzi G. (2011) A model to study the reduction of turbine blade vibration using the snubbing mechanism, Mechanical Systems and Signal Processing, Vol. 25, No 4, pp 1260-1275Google Scholar
  3. 3.
    Ferrante E., Pesatori E., Bachschmid N. (2012) Simulation of the dynamic behaviour of a group of blades with friction contacts, Proc. of 10th VIRM, Institution of Mechanical Engineers, London, UK, Woodhead Publishing, pages 10.Google Scholar
  4. 4.
    Yamashita Y., Shiohata K., Kudo T., Yoda H. (2012) Vibration characteristics of a continuous cover blade structure with friction contact surfaces of a steam turbine. Proc of 10th VIRM, pp. 323-332, London, UKGoogle Scholar
  5. 5.
    Pešek, L., Půst, L., Vaněk, F., Bula, V., Cibulka, J. (2012) Inter-slip damping of twisted blades in opposed bundles under rotation, Proc. of 10th VIRM, Institution of Mechanical Engineers, London, UK, Woodhead Publishing, pages 10.Google Scholar
  6. 6.
    Pešek, L., Půst, L., Bula, V., Cibulka, J. (2013) Investigation of dry friction effect of shroud damping wire on model test bladed wheel, Proc of ASME IDETC/CIE 2013, Article number DETC2013-12851, Portland, USA, pages 7Google Scholar
  7. 7.
    Petrov, E.P. (2004) Method for direct parametric analysis of non-linear forced response of bladed disks with friction contact interfaces, ASME Journal of Turbomachinery, Vol.126, pp 654-662Google Scholar
  8. 8.
    Zucca, S., Firrone, C.M.: Nonlinear dynamics of mechanical systems with friction contacts: Coupled static and dynamic Multi-Harmonic Balance Method and multiple solutions, Journal of Sound and Vibration, Vol. 333, No 3, pp 916-926,
  9. 9.
    Pešek, L., Hajžman, M., Půst, L., Zeman, V., Byrtus, M., Brůha, J. (2015) Experimental and numerical investigation of friction element dissipative effects in blade shrouding, J. Nonlinear Dynamics, Vol. 79, No. 3, pp 1711-1726Google Scholar
  10. 10.
    Pešek, L., Půst, L., Bula, V., Cibulka, J. (2017) Numerical analysis of dry friction damping effect of tie-boss couplings on three blade bundle, Proc of ASME IDETC/CIE 2017, Cleveland, USA, pages 7Google Scholar
  11. 11.
    Pešek, L., Půst, L., Šulc, P., Šnábl, P., Bula, V. (2019) Stiffening Effect and Dry-Friction Damping of Bladed Wheel Model with “Tie-Boss” Couplings - Numerical and Experimental Investigation, Book chapter of Mechanisms and Machine Science, 62, pp. 148-162.Google Scholar
  12. 12.šek, L., Půst, L., V. Bula, J. Cibulka: Laboratory Tip-Timing Optical Measurement System of Rotating Blade Vibrations. Journal of Vibration Engineering & Technologies. 6 (4), (2018), pp. 273-279.

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Luděk Pešek
    • 1
    Email author
  • Pavel Šnábl
    • 1
  • Petr Šulc
    • 1
  • Ladislav Půst
    • 1
  • Vítězslav Bula
    • 1
  1. 1.Institute of Thermomechanics AS CR, v.v.iPrague 8Czech Republic

Personalised recommendations