Reduced Order Modeling of a Bladed Rotor With Geometric Mistuning Via Estimated Deviations in Mass and Stiffness Matrices

This paper deals with further development of modified modal domain analysis (MMDA), which is a breakthrough method in the reduced order modeling of a bladed rotor with geometric mistuning. The main focus of this paper is to show that deviations in mass and stiffness matrices due to mistuning, estimated by Taylor series expansions in terms of independent proper orthogonal decomposition variables representing geometric variations of blades, can be used for MMDA. This result has rendered Monte Carlo simulation of the response of a bladed rotor with geometric mistuning to be easy and computationally efficient.

[1]  Alok Sinha.  Reduced-Order Model of a Bladed Rotor With Geometric Mistuning , 2009 .

[2]  Christophe Pierre,et al.  A sparse preconditioned iterative method for vibration analysis of geometrically mistuned bladed disks , 2009 .

[3]  Jeffrey M. Brown.  Reduced Order Modeling Methods for Turbomachinery Design , 2008 .

[4]  Alok Sinha,et al.  Vibratory Parameters of Blades From Coordinate Measurement Machine Data , 2008 .

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

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

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

[8]  Alok Sinha,et al.  Modeling Geometric Mistuning of a Bladed Rotor: Modified Modal Domain Analysis , 2011 .

[9]  Christophe Pierre,et al.  Component-Mode-Based Reduced Order Modeling Techniques for Mistuned Bladed Disks—Part II: Application , 2001 .

[10]  Randall J. Allemang,et al.  THE MODAL ASSURANCE CRITERION–TWENTY YEARS OF USE AND ABUSE , 2003 .

[11]  Alok Sinha,et al.  Reduced Order Model of a Bladed Rotor With Geometric Mistuning: Comparison Between Modified Modal Domain Analysis and Frequency Mistuning Approach , 2011 .

[12]  A. Sinha.  Computation of Eigenvalues and Eigenvectors of a Mistuned Bladed Disk Via Unidirectional Taylor Series Expansions , 2010 .