On the reduction of quasi-cyclic disk models with variable rotation speeds

New methods for the dynamic analysis of tuned and mistuned bladed disks are presented. A new technique for disk substructuring using parameterized superelements is first described. It allows individual blade mistuning to be taken into account as slight variations in the reduced stiffness matrix of the bladed sectors or as shifts in fixed blade frequencies. A parametric multi-model reduction approach is then introduced to allow predictions of the evolution of vibration characteristics with respect to the rotation speed. Using prestressed solutions at three rotations speeds, this method allows a very accurate reanalysis of modes and forced responses of mistuned disks at all intermediate speeds

[1]  Torsten Fransson,et al.  A comparison of two finite element reduction techniques for mistuned bladed disks , 2002 .

[2]  Christophe Pierre,et al.  Vibration Modeling of Bladed Disks Subject to Geometric Mistuning and Design Changes , 2004 .

[3]  Christophe Pierre,et al.  Dynamic Response Predictions for a Mistuned Industrial Turbomachinery Rotor Using Reduced-Order Modeling , 2002 .

[4]  J. H. Griffin,et al.  A Fundamental Model of Mistuning for a Single Family of Modes , 2002 .

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

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

[7]  Jerry H. Griffin,et al.  A Reduced Order Approach for the Vibration of Mistuned Bladed Disk Assemblies , 1995 .

[8]  D. Tran,et al.  Component mode synthesis methods using interface modes. Application to structures with cyclic symmetry , 2001 .

[9]  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 .

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

[11]  Etienne Balmes,et al.  PARAMETRIC FAMILIES OF REDUCED FINITE ELEMENT MODELS. THEORY AND APPLICATIONS , 1996 .

[12]  Matthew P. Castanier,et al.  Modeling and Analysis of Mistuned Bladed Disk Vibration: Status and Emerging Directions , 2006 .

[13]  Etienne Balmès,et al.  Use of Generalized Interface Degrees of Freedom in Component Mode Synthesis , 1999 .

[14]  Bernard Lalanne,et al.  Aeroelastic Vibrations and Stability in Cyclic Symmetric Domains , 2000 .

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

[16]  Torsten Fransson,et al.  A comparison of two finite element reduction techniques for mistuned bladed-disks , 2000 .

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

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

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

[20]  Jerry H. Griffin,et al.  A Reduced-Order Model for Evaluating the Effect of Rotational Speed on the Natural Frequencies and Mode Shapes of Blades , 2003 .