Forced response of bladed disk assemblies : A survey

This work surveys methods for modeling and analyzing bladed disk assemblies common to gas turbine aircraft. An introduction to symmetric (tuned) bladed disk dynamics is presented, followed by a literature review of studies modeling bladed disks, blade mistuning. and the effect of mistuning forced response. A summary of results is given, and suggestions for future work are made.

[1]  Christophe Pierre,et al.  Efficient design constraint accounting for mistuning effects in engine rotors , 1995 .

[2]  Wilfred Campbell,et al.  The Protection of Steam-Turbine Disk Wheels From Axial Vibration , 1924, Transactions of the American Society of Mechanical Engineers.

[3]  D. J. Ewins,et al.  Vibration Modes of Packeted Bladed Disks , 1984 .

[4]  Frank Lane,et al.  System Mode Shapes in the Flutter of Compressor Blade Rows , 1956 .

[5]  Alexander F. Vakakis,et al.  Non-similar normal oscillations in a strongly non-linear discrete system , 1992 .

[6]  E. F. Crawley,et al.  Stagger Angle Dependence of Inertial and Elastic Coupling in Bladed Disks , 1984 .

[7]  Wodek Gawronski,et al.  Model reduction for flexible space structures , 1991 .

[8]  Christophe Pierre,et al.  Forced response of mistuned bladed disks using reduced-order modeling , 1996 .

[9]  R. Macneal.  A hybrid method of component mode synthesis , 1971 .

[10]  Anil K. Bajaj,et al.  A singular perturbation perspective on mode localization , 1991 .

[11]  D. S. Whitehead,et al.  Research Note: Effect of Mistuning on Forced Vibration of Blades with Mechanical Coupling , 1976 .

[12]  Jerry H. Griffin,et al.  A reduced order approach for the vibration of mistuned bladed disk assemblies , 1997 .

[13]  Roy R. Craig,et al.  Block-Krylov component synthesis method for structural model reduction , 1988 .

[14]  E. F. Crawley.  Aeroelastic formulations for turbomachines and propellers , 1984 .

[15]  D. J. Ewins,et al.  Vibration Characteristics of Bladed Disc Assemblies , 1973 .

[16]  E. Dowell,et al.  Localization of vibrations by structural irregularity , 1987 .

[17]  Robert E. Kielb,et al.  Vibrations of twisted cantilevered plates—Summary of previous and current studies , 1984 .

[18]  D. I. G. Jones,et al.  A Parametric Study of Dynamic Response of a Discrete Model of Turbomachinery Bladed Disk , 1983 .

[19]  R. Craig.  A review of time-domain and frequency-domain component mode synthesis method , 1985 .

[20]  Chia-Hsiang Menq,et al.  The forced response of shrouded fan stages , 1986 .

[21]  D. J. Ewins,et al.  The effects of detuning upon the forced vibrations of bladed disks , 1969 .

[22]  Chia-Hsiang Menq,et al.  Friction damping of two-dimensional motion and its application in vibration control , 1991 .

[23]  J. S. Rao.  Turbomachine Blade Vibration , 1991 .

[25]  Joseph M. Verdon,et al.  Review of unsteady aerodynamic methods for turbomachinery aeroelastic and aeroacoustic applications , 1993 .

[26]  D. J. Ewins,et al.  Resonant Vibration Levels of a Mistuned Bladed Disk , 1984 .

[27]  Benjamin Shapiro,et al.  Solving for Mistuned Forced Response by Symmetry , 1999 .

[28]  W. Hurty.  Dynamic Analysis of Structural Systems Using Component Modes , 1965 .

[29]  Anil K. Bajaj,et al.  A Singular Perturbation Analysis Of Eigenvalue Veering And Modal Sensitivity In Perturbed Linear Periodic Systems , 1993 .

[30]  K. Kaza,et al.  Aeroelastic characteristics of a cascade of mistuned blades in subsonic and supersonic flows , 1983 .

[31]  Christophe Pierre,et al.  A reduced-order modeling technique for mistuned bladed disks , 1994 .

[32]  Gaofeng Wu.  Free Vibration Modes of Cyclic Assemblies With a Single Disordered Component , 1993 .

[33]  Christophe Pierre,et al.  A transfer matrix approach to free vibration localization in mistuned blade assemblies , 1993 .

[34]  Jerry H. Griffin,et al.  On Predicting the Resonant Response of Bladed Disk Assemblies , 1988 .

[35]  J. H. Griffin,et al.  Model Development and Statistical Investigation of Turbine Blade Mistuning , 1984 .

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

[37]  C. Menq,et al.  The Influence of a Variable Normal Load on the Forced Vibration of a Frictionally Damped Structure , 1986 .

[38]  Durbha V. Murthy,et al.  Localization of aeroelastic modes in mistuned high-energy turbines , 1991 .

[39]  Etienne Balmes,et al.  High Modal Density, Curve Veering, Localization: A Different Perspective On The Structural Response , 1993 .

[40]  J. Hollkamp,et al.  An experimental investigation of non-uniform damping in blade-disk assemblies , 1998 .

[41]  Mehmet Imregun,et al.  Harmonic Balance Vibration Analysis of Turbine Blades With Friction Dampers , 1997 .

[42]  O. Bendiksen.  Mode localization phenomena in large space structures , 1986 .

[43]  O. Bendiksen,et al.  Vibration Characteristics of Mistuned Shrouded Blade Assemblies , 1986 .

[44]  Greg Minkiewicz,et al.  Dynamic Response of Low Aspect Ratio Blades in a Two Stage Transonic Compressor , 1997 .

[45]  Roy R. Craig,et al.  Generalized Substructure Coupling Procedure for Damped Systems , 1982 .

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

[47]  James A. Kenyon,et al.  Mistuning characteristics of a bladed rotor from a two-stage transonic compressor , 1998 .

[48]  A. V. Srinivasan,et al.  Measurement of Relative Vibratory Motion at the Shroud Interfaces of a Fan , 1984 .

[49]  S. Natsiavas,et al.  Steady state oscillations and stability of non-linear dynamic vibration absorbers , 1992 .

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

[51]  K. R. V. Kaza,et al.  Effects of mistuning on bending-torsion flutter and response of a cascade in incompressible flow , 1981 .

[52]  J. H. Griffin,et al.  The Effect of Limiting Aerodynamic and Structural Coupling in Models of Mistuned Bladed Disk Vibration , 1986 .

[53]  O. Bendiksen.  Flutter of Mistuned Turbomachinery Rotors , 1984 .

[54]  C. Pierre.  Mode localization and eigenvalue loci veering phenomena in disordered structures , 1988 .

[56]  Michael S. Triantafyllou,et al.  Frequency coalescence and mode localization phenomena: A geometric theory , 1991 .

[57]  J. Griffin,et al.  Exploring How Shroud Constraint Can Affect Vibratory Response in Turbomachinery , 1995 .

[58]  M. Mignolet,et al.  Effects of damping and damping mistuning on the forced vibration response of bladed disks , 1996 .

[59]  A. V. Srinivasan,et al.  Vibrations of Bladed-Disk Assemblies—A Selected Survey (Survey Paper) , 1984 .

[60]  Denis S. Whitehead,et al.  The Maximum Factor by Which Forced Vibration of Blades Can Increase Due to Mistuning , 1996 .

[61]  D. S. Whitehead,et al.  Effect of Mistuning on the Vibration of Turbo-Machine Blades Induced by Wakes: , 1966 .

[62]  Alok Sinha,et al.  Computation of the Maximum Amplitude of a Mistuned Bladed Disk Assembly via Infinity Norm , 1997, Analysis and Design Issues for Modern Aerospace Vehicles.

[63]  Robert E. Kielb,et al.  Flutter of turbofan rotors with mistuned blades , 1984 .

[64]  Durbha V. Murthy,et al.  Aeroelastic modal characteristics of mistuned blade assemblies - Mode localization and loss of eigenstructure , 1991 .

[65]  D. I. G. Jones,et al.  Vibrating Beam Dampers for Reducing Vibrations in Gas Turbine Blades , 1975 .

[66]  J. Woodhouse,et al.  Confinement of vibration by structural irregularity , 1981 .