Numerical assessment of friction damping at turbine blade root joints by simultaneous calculation of the static and dynamic contact loads

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 bladesThe 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.

[1]  E. P. Petrov A Method for Use of Cyclic Symmetry Properties in Analysis of Nonlinear Multiharmonic Vibrations of Bladed Disks (2003-GT-38480) , 2004 .

[2]  David J. Ewins,et al.  MODELLING TWO-DIMENSIONAL FRICTION CONTACT AND ITS APPLICATION USING HARMONIC BALANCE METHOD , 1996 .

[3]  J. Griffin Friction Damping of Resonant Stresses in Gas Turbine Engine Airfoils , 1980 .

[4]  G. M. Dusinberre,et al.  Gas Turbine Power , 1958 .

[5]  Roberto Alonso,et al.  Static Normal Stress Influence in Friction Damping of Blade Attachments , 2009 .

[6]  C. Menq,et al.  Characterization of 3D contact kinematics and prediction of resonant response of structures having 3D frictional constraint , 1998 .

[7]  Ning An,et al.  Forced Response Prediction of Constrained and Unconstrained Structures Coupled Through Frictional Contacts , 2009 .

[8]  Stefano Zucca,et al.  Effect of Crowning of Dovetail Joints on Turbine Blade Root Damping , 2007 .

[9]  F. Thouverez,et al.  A dynamic Lagrangian frequency–time method for the vibration of dry-friction-damped systems , 2003 .

[10]  Richard J Goldstein,et al.  Film cooling effect of rotor-stator purge flow on endwall heat/mass transfer , 2010 .

[11]  Chia-Hsiang Menq,et al.  NON-LINEAR SPRING RESISTANCE AND FRICTION DAMPING OF FRICTIONAL CONSTRAINT HAVING TWO-DIMENSIONAL MOTION , 1998 .

[12]  Jerry H. Griffin,et al.  FRICTION DAMPING OF CIRCULAR MOTION AND ITS IMPLICATIONS TO VIBRATION CONTROL , 1991 .

[13]  G. B. Sinclair,et al.  Contact Stresses in Dovetail Attachments: Physical Modeling , 2002 .

[14]  Alberto Cardona,et al.  Fast Fourier nonlinear vibration analysis , 1998 .

[15]  D. J. Ewins,et al.  Analytical Formulation of Friction Interface Elements for Analysis of Nonlinear Multi-Harmonic Vibrations of Bladed Disks , 2003 .

[16]  C. Menq,et al.  STICK–SLIP–SEPARATION ANALYSIS AND NON-LINEAR STIFFNESS AND DAMPING CHARACTERIZATION OF FRICTION CONTACTS HAVING VARIABLE NORMAL LOAD , 1998 .

[17]  M. Allara,et al.  A model for the characterization of friction contacts in turbine blades , 2009 .

[18]  Walter Sextro,et al.  Spatial Dynamics of Tuned and Mistuned Bladed Disks with Cylindrical and Wedge-Shaped Friction Dampers , 2003 .

[19]  Jörg Wallaschek,et al.  Multiharmonic Forced Response Analysis of a Turbine Blading Coupled by Nonlinear Contact Forces , 2010 .

[20]  A. V. Srinivasan,et al.  Flutter and Resonant Vibration Characteristics of Engine Blades , 1997 .

[21]  Guy de Collongue,et al.  Numerical and Experimental Study of Friction Damping in Blade Attachments of Rotating Bladed Disks , 2006 .

[22]  D. J. Ewins,et al.  Effects of Damping and Varying Contact Area at Blade-Disk Joints in Forced Response Analysis of Bladed Disk Assemblies , 2006 .

[23]  Gabor Csaba,et al.  Modelling of a Microslip Friction Damper Subjected to Translation and Rotation , 1999 .