Blade Manufacturing Tolerances Definition for a Mistuned Industrial Bladed Disk

This paper deals with the characterization of the blade manufacturing geometric tolerances in order to get a given level of amplification in the forced response of a mistimed bladed-disk. The theory is based on the use of a nonparametric probabilistic model of blade random uncertainties, The dispersion parameters controlling the nonparametric model are estimated as a function of the geometric tolerances. The industrial application is devoted to the mistuning analysis of a 22 blades wide chord fan stage. Centrifugal stiffening due to rotational effects is also included. The results obtained validate the efficiency and the reliability of the method on three-dimensional bladed disks.

[1]  W. A. Benfield,et al.  Vibration Analysis of Structures by Component Mode Substitution , 1971 .

[2]  Christian Soize,et al.  Random uncertainties model in dynamic substructuring using a nonparametric probabilistic model , 2003 .

[3]  Jerry H. Griffin,et al.  A Reduced-Order Model of Mistuning Using a Subset of Nominal System Modes , 2001 .

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

[5]  D. J. Ewins,et al.  A new method for dynamic analysis of mistuned bladed disks based on the exact relationship between tuned and mistuned systems , 2002 .

[6]  M. Bampton,et al.  Coupling of substructures for dynamic analyses. , 1968 .

[7]  D. L. Thomas.  Dynamics of rotationally periodic structures , 1979 .

[8]  A. Sinha,et al.  A higher order technique to compute the statistics of forced response of a mistuned bladed disk assembly , 1989 .

[9]  Christian Soize,et al.  Probabilistic model of random uncertainties in structural dynamics for mistuned bladed disks , 2003 .

[10]  Christian Soize.  A nonparametric model of random uncertainties for reduced matrix models in structural dynamics , 2000 .

[11]  R. C. F. Dye,et al.  Vibration Amplitudes of Compressor Blades Resulting From Scatter in Blade Natural Frequencies , 1969 .

[12]  Christian Soize,et al.  Nonparametric Modeling of Random Uncertainties for Dynamic Response of Mistuned Bladed Disks , 2004 .

[13]  Eric Seinturier,et al.  Turbine Mistuned Forced Response Prediction: Comparison With Experimental Results , 2002 .

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

[15]  Marc P. Mignolet,et al.  A Novel Limit Distribution for the Analysis of Randomly Mistuned Bladed Disks , 2001 .

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

[17]  Christian Soize,et al.  Structural Acoustics and Vibration , 2001 .

[18]  Christophe Pierre,et al.  Component-Mode-Based Reduced Order Modeling Techniques for Mistuned Bladed Disks—Part I: Theoretical Models , 2001 .

[19]  Marc P. Mignolet,et al.  An Adaptive Perturbation Scheme for the Analysis of Mistuned Bladed Disks , 1997 .

[20]  Christian Soize,et al.  Uncertain Dynamical Systems in the Medium-Frequency Range , 2003 .

[21]  Eric Seinturier,et al.  A New Aeroelastic Model For Mistuned Bladed Disks , 2002 .

[22]  C Soize,et al.  Maximum entropy approach for modeling random uncertainties in transient elastodynamics. , 2001, The Journal of the Acoustical Society of America.

[23]  Christian Soize,et al.  Modèle probabiliste des incertitudes en dynamique des structures pour le désaccordage des roues aubagées , 2003 .

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

[25]  Christian Soize,et al.  Specifying Manufacturing Tolerances for a Given Amplification Factor: A Nonparametric Probabilistic Methodology , 2003 .