The complex architecture of aircraft engines requires demanding computational efforts when the dynamic coupling of their components has to be predicted. For this reason, numerically efficient reduced-order models (ROM) have been developed with the aim of performing modal analyses and forced response computations on complex multistage assemblies being computationally fast. In this paper, the flange joint connecting two turbine disks of a multistage assembly is studied as a source of nonlinearities due to friction damping occurring at the joint contact interface. An analytic contact model is proposed to calculate the local microslip based on the different deformations that the two flanges in contact take during vibration. The model is first introduced using a simple geometry representing two flanges in contact, and then, it is applied to a reduced finite element model in order to calculate the nonlinear forced response.
Issue Section:
Research Papers
References
1.
Hurty
, W.
, 1965
, “Dynamic Analysis of Structural Systems Using Component Modes
,” AIAA J.
, 3
(4
), pp. 678
–685
.2.
Craig
, R.
, and Bampton
, M.
, 1968
, “Coupling of Substructures for Dynamic Analyses
,” AIAA J.
, 6
(7
), pp. 1313
–1319
.3.
Bladh
, R.
, Castanier
, M.
, and Pierre
, C.
, 2003
, “Effects of Multistage Coupling and Disk Flexibility on Mistuned Bladed Disk Dynamics
,” ASME J. Eng. Gas Turbines Power
, 125
(1
), pp. 121
–130
.4.
Song
, S.
, Castanier
, M.
, and Pierre
, C.
, 2005
, “Multistage Modeling of Turbine Engine Rotor Vibration
,” ASME
Paper No. DETC2005-85740.5.
Battiato
, G.
, Firrone
, C. M.
, Berruti
, T. M.
, and Epureanu
, B. I.
, 2016
, “Reduced Order Modeling for Multi-Stage Coupling of Cyclic Symmetric Structures
,” International Conference on Noise and Vibration Engineering (ISMA
), Leuven, Belgium, Sept. 19–21, pp. 3447–3462.https://experts.umich.edu/en/publications/reduced-order-modeling-for-multi-stage-coupling-of-cyclic-symmetr6.
Battiato
, G.
, Firrone
, C.
, Berruti
, T.
, and Epureanu
, B.
, 2017
, “Reduced Order Modeling for Multi-Stage Bladed Disks With Friction Contacts at the Flange Joint
,” ASME
Paper No. GT2017-64814.7.
Battiato
, G.
, Firrone
, C. M.
, Berruti
, T. M.
, and Epureanu
, B. I.
, 2016
, “A General Method for Sub-Systems Coupling for the Dynamic Analysis
,” International Conference on Noise and Vibration Engineering (ISMA
), Leuven, Belgium, Sept. 19–21, pp. 3433–3446.8.
Lim
, S.
, Bladh
, R.
, Castanier
, M.
, and Pierre
, C.
, 2007
, “Compact, Generalized Component Mode Mistuning Representation for Modeling Bladed Disk Vibration
,” AIAA J.
, 45
(9
), pp. 2285
–2298
.9.
D'Souza
, K. X.
, and Epureanu
, B. I.
, 2012
, “A Statistical Characterization of the Effects of Mistuning in Multistage Bladed Disks
,” ASME J. Eng. Gas Turbines Power
, 134
(1
), p. 012503
.10.
Laxalde
, D.
, Thouverez
, F.
, and Lombard
, J.-P.
, 2007
, “Dynamical Analysis of Multi-Stage Cyclic Structures
,” Mech. Res. Commun.
, 34
(4
), pp. 379
–384
.11.
Laxalde
, D.
, Lombard
, J.-P.
, and Thouverez
, F.
, 2007
, “Dynamics of Multistage Bladed Disks Systems
,” ASME J. Eng. Gas Turbines Power
, 129
(4
), pp. 1058
–1064
.12.
Sternchuss
, A.
, Balmes
, E.
, Jean
, P.
, and Lombard
, J.-P.
, 2009
, “Reduction of Multistage Disk Models: Application to an Industrial Rotor
,” ASME J. Eng. Gas Turbines Power
, 131
(1
), p. 012502
.13.
Firrone
, C.
, Zucca
, S.
, and Gola
, M.
, 2009
, “Effect of Static/Dynamic Coupling on the Forced Response of Turbine Bladed Disks With Underplatform Dampers
,” ASME
Paper No. GT2009-59905.14.
Firrone
, C.
, and Zucca
, S.
, 2009
, “Underplatform Dampers for Turbine Blades: The Effect of Damper Static Balance on the Blade Dynamics
,” Mech. Res. Commun.
, 36
(4
), pp. 515
–522
.15.
Firrone
, C.
, 2009
, “Measurement of the Kinematics of Two Underplatform Dampers With Different Geometry and Comparison With Numerical Simulation
,” J. Sound Vib.
, 323
(1
), pp. 313
–333
.16.
Schwingshackl
, C.
, Petrov
, E.
, and Ewins
, D.
, 2012
, “Effects of Contact Interface Parameters on Vibration of Turbine Bladed Disks With Underplatform Dampers
,” ASME J. Eng. Gas Turbines Power
, 134
(3
), p. 032507
.17.
Zucca
, S.
, Firrone
, C.
, and Gola
, M.
, 2012
, “Numerical Assessment of Friction Damping at Turbine Blade Root Joints by Simultaneous Calculation of the Static and Dynamic Contact Loads
,” Nonlinear Dyn.
, 67
(3
), pp. 1943
–1955
.18.
Krack
, M.
, von Scheidt
, L. P.
, Wallaschek
, J.
, Siewert
, C.
, and Hartung
, A.
, 2013
, “Reduced Order Modeling Based on Complex Nonlinear Modal Analysis and Its Application to Bladed Disks With Shroud Contact
,” ASME J. Eng. Gas Turbines Power
, 135
(10
), p. 102502
.19.
Chen
, J.
, and Menq
, C.
, 1999
, “Prediction of Periodic Response of Blades Having 3d Nonlinear Shroud Constraints
,” ASME
Paper No. 99-GT-289.20.
Gaul
, L.
, and Lenz
, L.
, 1997
, “Nonlinear Dynamics of Structures Assembled by Bolted Joints
,” Acta Mech.
, 125
(1–4
), pp. 169
–181
.21.
Gaul
, L.
, and Nitsche
, R.
, 2001
, Dynamics of Structures With Joint Connections. Structural Dynamics 2000: Current Status and Future Directions
, D. J.
Ewins
and D. J.
Inman
, eds., Research Studies Press, Ltd.
, Baldock, Hertfordshire, UK
, pp. 29
–48
.22.
Oldfield
, M.
, Ouyang
, H.
, and Mottershead
, J.
, 2005
, “Simplified Models of Bolted Joints Under Harmonic Loading
,” Comput. Struct.
, 84
(1–2
), pp. 25
–33
.23.
Schwingshackl
, C.
, and Petrov
, E.
, 2012
, “Modeling of Flange Joints for the Nonlinear Dynamic Analysis of Gas Turbine Engine Casings
,” ASME J. Eng. Gas Turbines Power
, 134
(12
), p. 122504
.24.
Schwingshackl
, C.
, Maio
, D. D.
, Sever
, I.
, and Green
, J.
, 2013
, “Modeling and Validation of the Nonlinear Dynamic Behavior of Bolted Flange Joints
,” ASME J. Eng. Gas Turbines Power
, 135
(12
), p. 122504
.25.
Maio
, D. D.
, Schwingshackl
, C.
, and Sever
, I.
, 2016
, “Development of a Test Planning Methodology for Performing Experimental Model Validation of Bolted Flanges
,” Nonlinear Dyn.
, 83
(1–2
), pp. 983
–1002
.26.
Menq
, C.
, Bielak
, J.
, and Griffin
, J.
, 1986
, “The Influence of Microslip on Vibratory Response—Part I: A New Microslip Model
,” J. Sound Vib.
, 107
(2
), pp. 279
–293
.27.
Csaba
, G.
, 1999
, “Modelling of a Microslip Friction Damper Subjected to Translation and Rotation
,” ASME
Paper No. 99-GT-149.28.
Iwan
, W.
, 1967
, “On a Class of Models for the Yielding Behavior of Continuous Composite Systems
,” ASME J. Appl. Mech.
, 34
(3
), pp. 612
–617
.29.
Segalman
, D.
, 2001
, “An Initial Overview of Iwan Modeling for Mechanical Joints
,” Sandia National Laboratories, Albuquerque, NM, Technical Report No. SAND2001-0811
.http://prod.sandia.gov/techlib/access-control.cgi/2001/010811.pdf30.
Quinn
, D. D.
, 2001
, “Distributed Friction and Microslip in Mechanical Joints With Varying Degrees-of-Freedom
,” ASME
Paper No. DETC2001/VIB-21514.31.
Guthrie
, M.
, and Kammer
, D.
, 2008
, “A General Reduced Representation of One-Dimensional Frictional Interfaces
,” ASME J. Appl. Mech.
, 75
(1
), p. 011019
.32.
Botto
, D.
, Campagna
, A.
, Lavella
, M.
, and Gola
, M.
, 2010
, “Experimental and Numerical Investigation of Fretting Wear at High Temperature for Aeronautical Alloys
,” ASME
Paper No. GT2010-23356.33.
Lavella
, M.
, and Gola
, D. B. M.
, “Design of a High-Precision, Flat-on-Flat Fretting Test Apparatus With High Temperature Capability
,” Wear
, 302
(1
), pp. 1073
–1081
.34.
Song
, S.
, 2007
, “Vibration Analysis and System Identification of Mistuned Multistage Turbine Engine Rotors
,” Ph.D. thesis
, University of Michigan, Ann Arbor, MI.https://deepblue.lib.umich.edu/handle/2027.42/12656435.
Castanier
, M.
, Ottarsson
, G.
, and Pierre
, C.
, 1997
, “A Reduced Order Modeling Technique for Mistuned Bladed Disks
,” ASME J. Vib. Acoust.
, 119
(3
), pp. 439
–447
.36.
Masing
, G.
, 1926
, “Eigenspannungen und Verfestigung Beim Messing
,” Second International Congress for Applied Mechanics
, Zürich, Switzerland, Sept. 12–17, pp. 332
–335
.37.
Segalman
, D.
, and Starr
, M.
, 2008
, “Inversion of Masing Models Via Continuous Iwan Systems
,” Int. J. Non-Linear Mech.
, 43
(1
), pp. 74
–80
.38.
Menq
, C. H.
, 2015
, “Vibratory Response of Frictionally Constrained Gas Turbine Engine Blades
,” Ph.D. thesis, Carnegie Mellon University, Pittsburgh, PA.39.
Berruti
, T.
, Filippi
, S.
, and Gola
, M. M.
, and Salvano, S., 2001
, “Friction Damping of Interlocked Vane Segments: Validation of Friction Model and Dynamic Response
,” XXX Congresso Nazionale AIAS
, Alghero, Italy, Sept. 12–15, pp. 1189
–1199
.40.
Battiato
, G.
, Firrone
, C. M.
, and Berruti
, T. M.
, 2017
, “Forced Response of Rotating Bladed Disks: Blade Tip-Timing Measurements
,” Mech. Syst. Signal Process.
, 85
, pp. 912
–926
.41.
Rigosi, G., Battiato, G., and
Berruti
, T. M.
, 2017
, “Synchronous Vibration Parameters Identification by Tip Timing Measurements
,” Mech. Res. Commun.
, 79
, pp. 7
–14
.Copyright © 2018 by ASME
You do not currently have access to this content.
