High-fidelity calculation of modal damping caused by friction at blade roots for single blades and tuned bladed disc assemblies

Abstract

A method for the analysis of amplitude-dependent modal damping factors is developed for the cases when the energy dissipation is caused by the micro-slip motion at friction contacts of blade root joints. The modal damping at root joints for a lone blade and for tuned bladed disc assemblies is studied. Large three-dimensional finite element models and detailed description of friction contacts by surface-to-surface friction contact elements at contact interfaces of the root joints are used for the calculations. The method allows using available finite element packages and is based on the direct calculation of the energy dissipated at root joints for prescribed levels of vibration amplitudes. The method takes into account the nonlinear dependency of the modal damping factors on the vibration level. The numerical studies of the dependency of modal damping factors on the vibration amplitudes, rotation speed, and contact interface parameters are performed for different families of modes and different nodal diameter numbers.

Keywords

Blade root joints micro-slip bladed disc friction vibrations modal damping factors

Get full access to this article

View all access options for this article.

References

Firrone

Zucca

Gola

. The effect of underplatform dampers on the forced response of bladed disks by a coupled static/dynamic harmonic balance method. Int J Non-Linear Mech 2011; 46: 363–375.

Petrov

. Explicit finite element models of friction dampers in forced response analysis of bladed disks. J Eng Gas Turbines Power 2007; 130: 277–285.

Meguid

Refaat

Papanikos

. Theoretical and experimental studies of structural integrity of dovetail joints in aeroengine discs. J Materials Process Technol 1996; 56: 668–677.

Papanikos

Meguid

Stjepanovic

. Three-dimensional nonlinear finite element analysis of dovetail joints in aeroengine discs. Finite Elements Anal Des 1998; 29: 173–186.

Marquina FJ, Coro A, Gutiérrez A, et al. Friction damping modeling in high stress contact areas using microslip friction model. In: Proceedings of ASME Turbo Expo 2008, Berlin, Germany, 9--13 June 2008, GT2008-50359.

Petrov EP and Ewins DJ. Analysis of essentially non-linear vibration of large-scale models for bladed discs with variable contact and friction at root joints. In: Proceedings of the 8th International Conference on Vibrations in Rotating Machinery, Swansea, UK, 07-09 September 2004.

Charleux D, Thouverez F and Lombard JP. Three dimensional multi harmonic analysis of contact and friction in dovetail joints. In: Proceedings of the 22nd International Modal Analysis Conference, 2004, Detroit, MI.

Petrov

Ewins

. Effects of damping and varying contact area at blade-disk joints in forced response analysis of bladed disk assemblies. J Turbomach 2006; 128: 403–410.

Charleux

Gibert

Thouverez

, et al. Numerical and experimental study of friction damping blade attachments of rotating bladed disks. Int J Rotat Mach 2006; 2006: 1–13. .

10.

Shangguan B, Yu F, Duan J, et al. A fractal contact friction model and nonlinear vibration response studies of loosely assembled blade with dovetail root. In: Proceedings of ASME Turbo Expo 2016, Seoul, South Korea, 13--17 June 2016, GT2016-56271.

11.

Hong J, Chen L, Ma Y, et al. Design methods of friction damping at blade-disk joints. In: Proceedings of ASME Turbo Expo 2009, Orlando, Florida, 8--12 June 2009, GT2009-59510.

12.

Allara M, Filippi S, Gola MM. An experimental method for the measurement of blade-root damping. In: Proceedings of ASME Turbo Expo 2006, Barcelona, Spain, 8--11 May 2006, GT2006-90774.

13.

Firrone

Bertino

. Experimental investigation on the damping effectiveness of blade root joints. Exp Mech 2015; 55: 1–8.

14.

Zucca S, Gola M, and Firrone CM. A method for the calculation of friction damping in blade root joints. In: Proceedings of ASME 2010, Biennial Conference on Engineering Systems Design and Analysis, Istanbul, Turkey, 12--14 July 2010, ESDA2010-24948.

15.

Chen

Zang

Zhou

, et al. A study of friction microslip modeling for dynamic analysis of bladed discs with root joints. Proc IMechE, Part C: J Mechanical Engineering Science. 2019; 233: 2599--2614.

16.

Petrov

. A high-accuracy model reduction for analysis of nonlinear vibrations in structures with contact interfaces. Trans ASME J Eng Gas Turbines Power 2011; 133: 102503.

17.

Toupin

. Saint-Venant's principle. Arch Rational Mech Anal 1965; 18: 83–96.

18.

Berdichevskii

. On the proof of the Saint-Venant principle for bodies of arbitrary shape. Appl Math Mech 1974; 8: 799–813.

19.

Greenwood

Williamson

JBP

. Contact of nominally flat surfaces. Proc R Soc Lond A 1966; 295: 300–319.

20.

Tworzydlo

Cecot

Oden

, et al. Computational micro- and macroscopic models of contact and friction: formulation, approach and applications. Wear 1998; 220: 113–140.

21.

Piscan

Ompusunggu

Janssens

, et al. Theoretical and experimental contact stiffness characterisation of nominally flat surfaces. Appl Mech Mater 2012; 186: 107–113.

22.

Schwingshackl CW and Natoli A. Explicit modelling of microslip behaviour in dry friction contact. In: Proceedings of 34th IMAC Conference and Exposition on Structural Dynamics, 2016, 4, pp.265–272. Cham: Springer.

23.

Schwingshackl

Petrov

Ewins

. Measured and estimated friction interface parameters in a nonlinear dynamic analysis. Mech Syst Signal Process 2012; 28: 574–584.