Sector-model subspace iteration for vibration of multi-stage, cyclically symmetric systems

[1]  Robert G. Parker,et al.  Vibration of general symmetric systems using group theory , 2021, Journal of Sound and Vibration.

[2]  R. Parker,et al.  Modal properties of cyclically symmetric systems with central components vibrating as three-dimensional rigid bodies , 2018, Journal of Sound and Vibration.

[3]  Teresa Maria Berruti,et al.  Reduction and coupling of substructures via Gram–Schmidt Interface modes , 2018, Computer Methods in Applied Mechanics and Engineering.

[4]  Eric Kurstak,et al.  Multistage Blisk and Large Mistuning Modeling Using Fourier Constraint Modes and PRIME , 2017 .

[5]  Robert G. Parker,et al.  Vibration mode structure and simplified modelling of cyclically symmetric or rotationally periodic systems , 2015, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[6]  Duc-Minh Tran,et al.  Reduced models of multi-stage cyclic structures using cyclic symmetry reduction and component mode synthesis , 2014 .

[7]  K. Bathe,et al.  Component mode synthesis with subspace iterations for controlled accuracy of frequency and mode shape solutions , 2014 .

[8]  Steven W. Shaw,et al.  Circulant Matrices and Their Application to Vibration Analysis , 2014 .

[9]  Robert G. Parker,et al.  Modal structure of centrifugal pendulum vibration absorber systems with multiple cyclically symmetric groups of absorbers , 2013 .

[10]  Klaus-Jürgen Bathe,et al.  The subspace iteration method - Revisited , 2013 .

[11]  Robert G. Parker,et al.  Tuning of centrifugal pendulum vibration absorbers for translational and rotational vibration reduction , 2013 .

[12]  Bogdan I. Epureanu,et al.  Reduced-order modeling approach for blisks with large mass, stiffness, and geometric mistuning , 2012 .

[13]  Akira Saito,et al.  Reduced-Order Modeling for Nonlinear Analysis of Cracked Mistuned Multistage Bladed-Disk Systems , 2012 .

[14]  Bogdan I. Epureanu,et al.  A Statistical Characterization of the Effects of Mistuning in Multistage Bladed Disks , 2012 .

[15]  Christophe Pierre,et al.  Modelling and analysis of multi-stage systems of mistuned bladed disks , 2011 .

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

[17]  I. Y. Shen,et al.  Ground-Based Vibration Response of a Spinning, Cyclic, Symmetric Rotor With Gyroscopic and Centrifugal Softening Effects , 2009 .

[18]  Arnaud Sternchüss,et al.  Reduction of Multistage Disk Models: Application to an Industrial Rotor , 2008 .

[19]  Denis Laxalde,et al.  Dynamics of Multistage Bladed Disks Systems , 2007 .

[20]  Jean-Pierre Lombard,et al.  Dynamical analysis of multi-stage cyclic structures , 2007 .

[21]  Robert G. Parker,et al.  Structured Vibration Modes of General Compound Planetary Gear Systems , 2007 .

[22]  Robert G. Parker,et al.  Sensitivity of General Compound Planetary Gear Natural Frequencies and Vibration Modes to Model Parameters , 2010 .

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

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

[25]  Christophe Pierre,et al.  Effects of Multistage Coupling and Disk Flexibility on Mistuned Bladed Disk Dynamics , 2003 .

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

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

[28]  Christophe Pierre,et al.  Reduced Order Modeling and Vibration Analysis of Mistuned Bladed Disk Assemblies With Shrouds , 1998 .

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

[30]  Jeffrey K. Bennighof,et al.  A Substructure-Based Parallel Algorithm for Large Structure Eigenvalue Problems , 1989 .

[31]  D. T. Nguyen,et al.  Eigensolution for large structural systems with substructures , 1980 .

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