Dynamic response characteristics of dual flow-path integrally bladed rotors

Abstract New turbine engine designs requiring secondary flow compression often look to dual flow-path integrally bladed rotors (DFIBRs) since these stages have the ability to perform work on the secondary, or bypassed, flow-field. While analogous to traditional integrally bladed rotor stages, DFIBR designs have many differences that result in unique dynamic response characteristics that must be understood to avoid fatigue. This work investigates these characteristics using reduced-order models (ROMs) that incorporate mistuning through perturbations to blade frequencies. This work provides an alternative to computationally intensive geometric-mistuning approaches for DFIBRs by utilizing tuned blade mode reductions and substructure coupling in cyclic coordinates. Free and forced response results are compared to full finite element model (FEM) solutions to determine if any errors are related to the reduced-order model formulation reduction methods. It is shown that DFIBRs have many more frequency veering regions than their single flow-path integrally blade rotor (IBR) counterparts. Modal families are shown to transition between system, inner-blade, and outer-blade motion. Furthermore, findings illustrate that while mode localization of traditional IBRs is limited to a single or small subset of blades, DFIBRs can have modal energy localized to either an inner- or outer-blade set resulting in many blades responding above tuned levels. Lastly, ROM forced response predictions compare well to full FEM predictions for the two test cases shown.

[1]  Alok Sinha,et al.  Reduced Order Model of a Multistage Bladed Rotor With Geometric Mistuning via Modal Analyses of Finite Element Sectors , 2012 .

[2]  Roy R. Craig,et al.  Substructure coupling for dynamic analysis and testing , 1977 .

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

[4]  J. Griffin,et al.  A Normalized Modal Eigenvalue Approach for Resolving Modal Interaction , 1996 .

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

[6]  C. Pierre,et al.  Characteristic Constraint Modes for Component Mode Synthesis , 2001 .

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

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

[9]  Christophe Pierre,et al.  Compact, Generalized Component Mode Mistuning Representation for Modeling Bladed Disk Vibration , 2003 .

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

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

[12]  Joseph A. Beck,et al.  Probabilistic Mistuning Assessment Using Nominal and Geometry Based Mistuning Methods , 2013 .

[13]  Duc-Minh Tran,et al.  Component mode synthesis methods using partial interface modes: Application to tuned and mistuned structures with cyclic symmetry , 2009 .

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

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

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

[17]  Joseph A. Beck,et al.  Mistuned Response Prediction of Dual Flow-Path Integrally Bladed Rotors With Geometric Mistuning , 2015 .

[18]  Ramana V. Grandhi,et al.  Reduced-Order Model Development for Airfoil Forced Response , 2008 .

[19]  David L. Darmofal,et al.  Impact of Geometric Variability on Axial Compressor Performance , 2003 .

[20]  Genki Yagawa,et al.  Component mode synthesis for large-scale structural eigenanalysis , 2001 .

[21]  Moustapha Mbaye,et al.  A Reduced-Order Model of Detuned Cyclic Dynamical Systems With Geometric Modifications Using a Basis of Cyclic Modes , 2010 .

[22]  Frédéric Bourquin,et al.  Intrinsic component mode synthesis and plate vibrations , 1992 .

[23]  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 .

[24]  Joseph A. Beck,et al.  Dynamic Response Characteristics of Dual Flow-Path Integrally Bladed Rotors , 2014 .

[25]  Stefano Zucca,et al.  A reduced order model based on sector mistuning for the dynamic analysis of mistuned bladed disks , 2011 .

[26]  Joseph A. Beck,et al.  Next Generation Traveling Wave Excitation System for Integrally Bladed Rotors , 2014 .

[27]  Frédéric Bourquin,et al.  Numerical study of an intrinsic component mode synthesis method , 1992 .

[28]  Joseph A. Beck,et al.  Component-Mode Reduced-Order Models for Geometric Mistuning of Integrally Bladed Rotors , 2013 .

[29]  D. J. Ewins,et al.  The Amplification of Vibration Response Levels of Mistuned Bladed Disks: Its Consequences and Its Distribution in Specific Situations , 2011 .

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

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

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

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