A modified IWAN model for micro-slip in the context of dampers for turbine blade dynamics

Abstract In turbine blade systems, under-platform dampers are widely used to attenuate resonant vibrations and prevent high cycle fatigue failure depending on friction contact. To effectively predict dynamic response of blade-damper system, a numerical model of friction contact between damper and blade is required. The majority of existing friction contact model either cannot reproduce micro-slip behavior or include too many contact parameters, which restricts their application. The proposed model, a modification of the IWAN model, not only describes the tangential micro/gross-slip and normal contact/separation motions, but also has the same number of parameters as the classical gross-slip model. A group of microslip-dominated experimental results for a laboratory crossed curve-flat under-platform damper are shown, and a specially developed procedure is used to determine the elastic contact parameters in order to validate the proposed model. It is shown that the proposed model is able to correctly represent the damper’s energy dissipation under low vibration amplitudes. The relative difference of energy dissipation between experiment and simulation by the proposed model is about 1.15%, far less than 24% according to the gross-slip model. Furthermore, the relative simple expression of the model is fully compatible with the current state-of-the-art in the numerical analysis of resonance damping of bladed disks for axial flow turbo-machinery.

[1]  T. A. Harris,et al.  Rolling Bearing Analysis , 1967 .

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

[3]  Muzio Gola,et al.  A direct experimental-numerical method for investigations of a laboratory under-platform damper behavior , 2014 .

[4]  Stefano Zucca,et al.  Modeling underplatform dampers for turbine blades: a refined approach in the frequency domain , 2013 .

[5]  Fabrice Thouverez,et al.  Vibration Prediction of Bladed Disks Coupled by Friction Joints , 2017 .

[6]  Stefano Zucca,et al.  The effect of underplatform dampers on the forced response of bladed disks by a coupled static/dynamic harmonic balance method , 2011 .

[7]  Evgeny Petrov,et al.  Explicit Finite Element Models of Friction Dampers in Forced Response Analysis of Bladed Disks , 2008 .

[8]  Chiara Gastaldi,et al.  Modeling Friction for Turbomachinery Applications: Tuning Techniques and Adequacy Assessment of Heuristic Contact Models , 2017, Contact and Fracture Mechanics.

[9]  David J. Ewins,et al.  Underplatform Dampers for Turbine Blades: Theoretical Modeling, Analysis, and Comparison With Experimental Data , 2001 .

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

[11]  Chiara Gastaldi,et al.  Pre-Optimization of Asymmetrical Underplatform Dampers , 2016 .

[12]  Jerry H. Griffin,et al.  A Review of Friction Damping of Turbine Blade Vibration , 1990 .

[13]  H. Nevzat Özgüven,et al.  Nonlinear vibration analysis of bladed disks with dry friction dampers , 2006 .

[14]  Chia-Hsiang Menq,et al.  One-dimensional dynamic microslip friction model , 2006 .

[15]  Liu Tong.  Investigation of under-platform damper kinematics and dynamics , 2013 .

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

[18]  Ning An,et al.  A microslip friction model with normal load variation induced by normal motion , 2007 .

[19]  Chia-Hsiang Menq,et al.  Characterization of Contact Kinematics and Application to the Design of Wedge Dampers in Turbomachinery Blading: Part 1—Stick-Slip Contact Kinematics , 1998 .

[20]  Chiara Gastaldi,et al.  On the relevance of a microslip contact model for under-platform dampers , 2016 .

[21]  Christoph W. Schwingshackl,et al.  Effects of Contact Interface Parameters on Vibration of Turbine Bladed Disks With Underplatform Dampers , 2012 .

[22]  Chiara Gastaldi,et al.  Estimation accuracy vs. engineering significance of contact parameters for solid dampers , 2017 .

[23]  W. Iwan.  A Distributed-Element Model for Hysteresis and Its Steady-State Dynamic Response , 1966 .

[24]  Chiara Gastaldi,et al.  An Improved Microslip Model for Variable Normal Loads , 2015 .

[25]  Chia-Hsiang Menq,et al.  The influence of microslip on vibratory response, part I: A new microslip model , 1986 .

[26]  Christoph W. Schwingshackl,et al.  Measured and estimated friction interface parameters in a nonlinear dynamic analysis , 2012 .

[27]  Johannes Brändlein,et al.  Ball and roller bearings: Theory, design, and application , 1985 .

[28]  Chia-Hsiang Menq,et al.  The influence of microslip on vibratory response, Part II: A comparison with experimental results , 1986 .

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

[30]  Daniel J. Segalman,et al.  An Initial Overview of Iwan Modeling for Mechanical Joints , 2001 .

[31]  A. V. Srinivasan,et al.  Dry Friction Damping Mechanisms in Engine Blades , 1982 .