Journal ArticleDOI
A Normalized Modal Eigenvalue Approach for Resolving Modal Interaction
Ming-Ta Yang,J. H. Griffin +1 more
TLDR
In this paper, the structural eigenvalue problem was formulated as a normalized modal eigen value problem, and it was shown that the amount of interaction in two modes can be simply characterized by six normalized modality parameters and the difference between the normalized frequencies.Abstract:
Modal interaction refers to the way that the modes of a structure interact when its geometry and material properties are perturbed. The amount of interaction between the neighboring modes depends on the closeness of the natural frequencies, the mode shapes, and the magnitude and distribution of the perturbation. By formulating the structural eigenvalue problem as a normalized modal eigenvalue problem, it is shown that the amount of interaction in two modes can be simply characterized by six normalized modal parameters and the difference between the normalized frequencies. In this paper, the statistical behaviors of the normalized frequencies and modes are investigated based on a perturbation analysis. The results are independently verified by Monte Carlo simulations.read more
Citations
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Journal ArticleDOI
Modeling and Analysis of Mistuned Bladed Disk Vibration: Status and Emerging Directions
TL;DR: The literature on reduced-order modeling, simulation, and analysis of the vibration of bladed disks found in gas-turbine engines is reviewed in this paper, where an emphasis is placed on key developments in the last decade that have enabled better prediction and understanding of the forced response of mistuned bladed disk, especially with respect to assessing and mitigating the harmful impact of mistuning on blade vibration, stress increases, and attendant high cycle fatigue.
Journal ArticleDOI
A Reduced-Order Model of Mistuning Using a Subset of Nominal System Modes
M.-T. Yang,Jerry H. Griffin +1 more
TL;DR: In this paper, a reduced-order model was proposed to predict the harmonic response of a full-bladed disk system with a fixed number of degrees-of-freedom (DoF) parameters.
Journal ArticleDOI
Compact, Generalized Component Mode Mistuning Representation for Modeling Bladed Disk Vibration
TL;DR: In this article, a component-based modeling framework is developed by partitioning the system into a tuned bladed disk component and virtual blade mistuning components, defined by the differences between the mistuned and tuned blade mass and stiffness matrices.
Proceedings ArticleDOI
A Fundamental Model of Mistuning for a Single Family of Modes
D. M. Feiner,Jerry H. Griffin +1 more
TL;DR: A new reduced order model of mistuned bladed disk vibration is presented and is shown to accurately represent the response of real turbine geometries when only a single family of modes is excited.
Journal ArticleDOI
A reduced order model based on sector mistuning for the dynamic analysis of mistuned bladed disks
TL;DR: In this paper, the Integral Mode Mistuning (IMM) technique was proposed for the analysis of bladed disk dynamics, which was originally developed exclusively for the use of the blade frequency mistuning pattern.
References
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R. L. Fox,M. P. Kapoor +1 more
TL;DR: Exact expressions for rates of change of eigenvalues and eigenvector to facilitate computerized design of complex structures are presented.
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A Reduced-Order Model of Mistuning Using a Subset of Nominal System Modes
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