Analyzing Mistuning of Bladed Disks by Symmetry and Reduced-Order Aerodynamic Modeling

Shapiro, Benjamin; Willcox, Karen

doi:10.2514/2.6112

Cited by 4 publications

(3 citation statements)

References 11 publications

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“…This divide and conquer approach has been demonstrated for many complex engineering systems [1], [3], [28]- [31], [34], [42], [45]- [47], and we hope to apply it successfully to electronic systems.…”

Section: A Example Of the Type Of Results Possible Within The Input/mentioning

confidence: 93%

“…simulation enough times to generate a statistically representative sample of data, POD then finds the low-order subspace that most closely approximates this data in the 2-norm sense, the full dynamics are then Galerkin projected onto this subspace to create the low-order input/output model. POD retains most of the desirable properties of balanced truncation: it is optimal with reduction-error bounds (although now in a statistical sense), and since it can be applied in the frequency domain [31] it can be frequency weighted to focus on the desired frequency range.…”

Section: A Creating Compact Input/output Component Models From Finitmentioning

confidence: 99%

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Creating compact models of complex electronic systems: an overview and suggested use of existing model reduction and experimental system identification tools

Shapiro

2003

IEEE Trans. Comp. Packag. Technol.

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The electronic system packaging community has a great need to reduce the size of its heat transfer simulations so that it can: simulate and analyze more complex systems, include additional physical phenomena, and improve its ability to search the electronic systems packaging design space. Aside from further improvements in machine speed and numerical algorithm efficiency, this is basically a question of model reduction and experimental identification: one would like to know how to dramatically reduce the size of heat transfer simulations when they are available, and one would further like to identify models directly from experiment when accurate, computationally feasible, numerical simulations are not available (as in the case of turbulent flows through complex geometries).Fortunately, the topic of low-order modeling for design has been widely studied and successfully applied in other fields (mostly in control engineering and fluid dynamics, although also in structural mechanics, chemical deposition, heat transfer and combustion). Specifically, there are thousands of papers on the mathematical techniques of model reduction and experimental system identification. This paper gives a brief overview of these techniques, it suggests how these tools might be effectively used for electronic systems including cases that involve unsteady fluid dynamics, and it summarizes some of the reduced-order modeling lessons learned in other fields. The paper includes some of our initial work in model reducing the unsteady heat conduction equation, a result on component model inter-connections, and an outline of a systems level model for an air cooled personal computer.

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Section: A Example Of the Type Of Results Possible Within The Input/mentioning

confidence: 93%

Section: A Creating Compact Input/output Component Models From Finitmentioning

confidence: 99%

Creating compact models of complex electronic systems: an overview and suggested use of existing model reduction and experimental system identification tools

Shapiro

2003

IEEE Trans. Comp. Packag. Technol.

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“…In the early stage of studies, most investigations focused either on the structural vibrations of mistuned bladed disks [5][6][7][8][9] or on the beneficial effects of mistuning to flutter [10][11][12][13]. In recent years, a number of investigations have been published to address the effects of aerodynamic damping [14][15][16][17][18][19] and to develop effective reduced-order models for quantitative vibration analysis. In obtaining reduced-order models of mistuned bladed disks, the substructure techniques and component-mode synthesis methods [20][21][22] are commonly employed in the early stage.…”

Section: Introductionmentioning

confidence: 99%

Vibration Characteristics of Rotating Mistuned Bladed Disks considering the Coriolis Force, Spin Softening, and Stress Stiffening Effects

Wang

et al. 2019

Shock and Vibration

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Bladed disks of engine rotors usually operate at harsh conditions of high rotating speeds, which may lead to nonnegligible rotordynamic effects, including Coriolis force, spin softening, and stress stiffening effects. These effects on the vibration of mistuned bladed disks are seldom discussed in available investigations. In this paper, the vibration characteristics of rotating mistuned bladed disks are addressed by considering these rotordynamic effects. First, finite element (FE) models of bladed disks are used to obtain the governing equations of motion, and an efficient method for getting the stress stiffening matrix of sector model is developed. Then, the effective component-mode mistuning method (CMM) is employed to create compact, yet accurate, reduced-order models (ROMs). Finally, the models are validated and used to study the influences of Coriolis force, spin softening, and stress stiffening effects on the vibration of bladed disks with frequency mistuning factors. Numerical results show that these rotordynamic effects could significantly affect the vibrations of mistuning bladed disks, especially in the ranges of high speed, and should be carefully considered during analysis.

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Reliability-oriented optimal design of intentional mistuning for a bladed disk with random and interval uncertainties

Yoo

Lee

Tang

2016

Engineering Optimization

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Analyzing Mistuning of Bladed Disks by Symmetry and Reduced-Order Aerodynamic Modeling

Cited by 4 publications

References 11 publications

Creating compact models of complex electronic systems: an overview and suggested use of existing model reduction and experimental system identification tools

Creating compact models of complex electronic systems: an overview and suggested use of existing model reduction and experimental system identification tools

Vibration Characteristics of Rotating Mistuned Bladed Disks considering the Coriolis Force, Spin Softening, and Stress Stiffening Effects

Reliability-oriented optimal design of intentional mistuning for a bladed disk with random and interval uncertainties

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