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TECHNICAL PAPERS

Piezoelectric Networks for Vibration Suppression of Mistuned Bladed Disks

[+] Author and Article Information
Hongbiao Yu

Structural Dynamics and Controls Lab,  The Pennsylvania State University, 157 Hammond Building, University Park, PA 16802yhbler@gmail.com

K. W. Wang

Structural Dynamics and Controls Lab,  The Pennsylvania State University, 157 Hammond Building, University Park, PA 16802kwwang@psu.edu

J. Vib. Acoust 129(5), 559-566 (May 21, 2007) (8 pages) doi:10.1115/1.2775511 History: Received September 14, 2006; Revised May 21, 2007

Extensive investigations have been conducted to study the vibration localization phenomenon and the excessive forced response that can be caused by mistuning in bladed disks. Most previous researches have focused on analyzing∕predicting localization or attacking the mistuning issue via mechanical tailoring. Few have focused on developing effective vibration control methods for such systems. This study extends the piezoelectric network concept, which has been utilized for mode delocalization in periodic structures, to the control of mistuned bladed disks under engine order excitation. A piezoelectric network is synthesized and optimized to effectively suppress vibration in bladed disks. One of the merits of such an approach is that the optimum design is independent of the number of spatial harmonics, or engine orders. Local circuits are first formulated by connecting inductors and resistors with piezoelectric patches on the individual blades. Although these local circuits can function as conventional damped absorber when properly tuned, they do not perform well for bladed disks under all engine order excitations. To address this issue, capacitors are introduced to couple the individual local circuitries. Through such networking, an absorber system that is independent of the engine order can be achieved. Monte Carlo simulation is performed to investigate the effectiveness of the network for a bladed disk with a range of mistuning level of its mechanical properties. The robustness issue of the network in terms of detuning of the electric circuit parameters is also studied. Finally, negative capacitance is introduced and its effect on the performance and robustness of the network is investigated.

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Copyright © 2007 by American Society of Mechanical Engineers
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Figures

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Figure 1

(a) Bladed disk model and (b) bladed disk with an integrated piezoelectric network

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Figure 2

Comparison of suppression effectiveness between traditional absorber and optimal network. Gray solid line: without control; black solid line: with optimal network; black dotted line: with traditional absorber.

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Figure 3

Performance index versus standard deviation of mistuning

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Figure 4

Maximum blade response versus frequency. Dotted line: original mechanical system without network; solid line: system with optimal tuning (δ=1.0); dashed line: system with −5% detuning (δ=0.95); dashed-dotted line: system with −10% detuning (δ=0.9).

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Figure 5

Effect of detuning in circuit frequency tuning ratio δ on the network performance for ξ=0.1

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Figure 6

Effects of detuning in circuit damping ratio on network performance for ξ=0.1 (optimal ζr=0.0707)

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Figure 7

Effect of detuning in Ra on network performance for ξ=0.1 (optimal Ra=0.5)

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Figure 8

Performance index versus standard deviation comparison between without negative capacitance case (solid line for ξ=0.1) and with negative capacitance case (dashed line for ξ=0.2 and dotted line for ξ=0.3)

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Figure 9

Detuning effect of circuit frequency tuning ratio δ on the performance, without negative capacitance (solid line for ξ=0.1) and with negative capacitance (dashed line for ξ=0.2 and dotted line for ξ=0.3)

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Figure 10

Detuning effect of circuit damping ratio ζr on the performance, without negative capacitance (solid line for ξ=0.1, optimal ζr=0.0707) and with negative capacitance (dashed line for ξ=0.2, optimal ζr=0.1414, and dotted line for ξ=0.3, optimal ζr=0.2121)

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Figure 11

Detuning effect of coupling capacitance Ra on performance, without negative capacitance (solid line for ξ=0.1) and with negative capacitance (dashed line for ξ=0.2 and dotted line for ξ=0.3)

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