Abstract
In turbomachinery, the perfect detuning of turbine blades in order to avoid high cycle fatigue damage due to resonant vibration is often unfeasible due to the high modal density of bladed disks.
To obtain reliable predictions of resonant stress levels of turbine blades, accurate modeling of friction damping is mandatory.
Blade root is one of the most common sources of friction damping in turbine blades; energy is dissipated by friction due to microslip between the blade and the disk contact surfaces held in contact by the centrifugal force acting on the blade.
In this paper, a method is presented to compute the friction forces occurring at blade root joints and to evaluate their effect on the blade dynamics. The method is based on a refined version of the state-of-the-art contact model, currently used for the nonlinear dynamic analysis of turbine blades.
The refined contact model is implemented in a numerical solver based on the harmonic balance method able to compute the steady-state dynamic response of turbine blades
The proposed method allows solving the static and the dynamic balance equations of the blade and of the disk, without any preliminary static analysis to compute the static loads acting at the contact interfaces.
Similar content being viewed by others
References
Srinivasan, A.V.: Flutter and resonant vibration characteristics of engine blades. J. Eng. Gas Turbine Power 119(4), 742–755 (1997)
Griffin, J.H.: Friction damping of resonant stresses in gas turbine engine airfoils. J. Eng. Power 102, 329–333 (1980)
Griffin, J.H., Menq, C.H.: Friction damping of circular motion and its implications to vibration control. J. Vib. Acoust. 113(2), 225–229 (1991)
Sanliturk, K.Y., Ewins, D.: Modelling two-dimensional friction contact and its application using harmonic balance method. J. Sound Vib. 193(2), 511–523 (1996)
Yang, B.D., Chu, M.L., Menq, C.H.: Stick–Slip–Separation analysis and non-linear stiffness and damping characterization of friction contacts having variable normal load. J. Sound Vib. 210, 461–481 (1998)
Menq, C.H., Yang, B.D.: Non-linear spring resistance and friction damping of frictional constraint having two-dimensional motion. J. Sound Vib. 217(1), 127–143 (1998)
Yang, B.D., Menq, C.H.: Characterization of 3D contact kinematics and prediction of resonant response of structures having 3D frictional constraint. J. Sound Vib. 217(5), 909–925 (1998)
Csaba, G.: Modelling of a microslip friction damper subjected to translation and rotation. In: Proceedings of the ASME Turbo Expo 1999, Indianapolis, IN, June 7–10, 99-GT-149 (1999)
Petrov, E.P., Ewins, D.J.: Analytical formulation of friction interface elements for analysis of nonlinear multiharmonic vibrations of bladed discs. ASME J. Turbomach. 125, 364–371 (2003)
Petrov, E.P., Ewins, D.J.: Effects of damping and varying contact area at blade-disk joints in forced response analysis of bladed disk assemblies. J. Turbomach. 128, 403–410 (2006)
Charleux, D., Gibert, C., Thouverez, F., Dupeux, J.: Numerical and experimental study of friction damping blade attachments of rotating bladed disks. Int. J. Rotating Mach. 2006, 71302 (2006)
Nacivet, S., Pierre, C., Thouverez, F., Jezequel, L.: A dynamic Lagrangian frequency-time method for the vibration of dry-friction-damped systems. J. Sound Vib. 265(1), 201–219 (2003)
Alonso, R., Marquina, F.J., Coro, A., Gutierrez, A.: Static normal stress influence in friction damping of blade attachments. In: Proceedings of the ASME Turbo Expo 2009, Orlando, FL, June 8–12, GT2009-59596 (2009)
Petrov, E.P.: A method for use of cyclic symmetry properties in analysis of nonlinear multiharmonic vibrations of bladed disks. J. Turbomach. 126(1), 175–183 (2004)
Siewert, C., Panning, L., Wallaschek, J., Richter, C.: Multiharmonic forced response analysis of a turbine blading coupled by nonlinear contact forces Christian Siewert, Lars Panning. J. Eng. Gas Turbine Power 132, 82501 (2010)
Cardona, A., Lerusse, A., Geradin, M.: Fast Fourier nonlinear vibration analysis. Comput. Mech. 22, 128–142 (1998)
Panning, L., Sextro, W., Popp, K.: Spatial dynamics of tuned and mistuned bladed disks with cylindrical and wedge-shaped friction dampers. Int. J. Rotating Mach. 9(3), 219–228 (2003)
Cigeroglu, E., An, N., Menq, C.H.: Forced response prediction of constrained and unconstrained structures coupled through frictional contacts. J. Eng. Gas Turbine Power 131(2), 022505 (2009)
Allara, M., Zucca, S., Gola, M.M.: Effect of crowning of dovetail joints on turbine blade root damping. Key Eng. Mater. 347, 317–322 (2007)
Allara, M.: A model for the characterization of friction contacts in turbine blades. J. Sound Vib. 30(3), 527–544 (2009)
Sinclair, G.B., Cormier, N.G.: Contact stresses in dovetail attachments: physical modelling. J. Eng. Gas Turbine Power 124, 325–331 (2002)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Zucca, S., Firrone, C.M. & Gola, M.M. Numerical assessment of friction damping at turbine blade root joints by simultaneous calculation of the static and dynamic contact loads. Nonlinear Dyn 67, 1943–1955 (2012). https://doi.org/10.1007/s11071-011-0119-y
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11071-011-0119-y