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Research Papers

Application of a Negative Capacitance Circuit in Synchronized Switch Damping Techniques for Vibration Suppression

[+] Author and Article Information
Hongli Ji, Jun Cheng

Key Laboratory of Aircraft Structural Mechanics and Control, Ministry of Education, Nanjing University of Aeronautics & Astronautics, Nanjing 210016, China

Jinhao Qiu1

Key Laboratory of Aircraft Structural Mechanics and Control, Ministry of Education, Nanjing University of Aeronautics & Astronautics, Nanjing 210016, Chinaqiu@nuaa.edu.cn

Daniel Inman

Center for Intelligent Material Systems and Structures, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061-0261

1

Corresponding author.

J. Vib. Acoust 133(4), 041015 (Apr 12, 2011) (10 pages) doi:10.1115/1.4003146 History: Received December 10, 2009; Revised August 31, 2010; Published April 12, 2011; Online April 12, 2011

In the synchronized switching damping (SSD) techniques, the voltage on the piezoelectric element is switched synchronously with the vibration to be controlled using an inductive shunt circuit (SSDI). The inherent capacitance and the inductance in the shunt circuit comprise an electrically resonant circuit. In this study, a negative capacitance is used in the shunt circuit instead of an inductance in the traditional SSD technique. The voltage on the piezoelectric element can be effectively inverted although the equivalent circuit is capacitive and no resonance occurs. In order to investigate the principle of the new SSD method based on a negative capacitance (SSDNC), the variation of the voltage on the piezoelectric element and the current in the circuit are analyzed. Furthermore, the damping effect using the SSDNC is deduced, and the energy balance and stability of the new system are investigated analytically. The method is applied to the single-mode control and two-mode control of a composite beam, and its control performance was confirmed by the experimental results. For the first mode in single-mode control, the SSDNC is much more effective than SSDI. In other cases, the SSDNC is also more effective than the SSDI, although not significantly.

Copyright © 2011 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

Principle of SSDNC. (a) The schematic of a SSDNC system. (b) The equivalent circuit.

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Figure 2

The waveforms of the voltage on the PZT and the current in the circuit of SSDI and SSDNC

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Figure 3

The circuit of a ground negative capacitance

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Figure 4

Beam with two piezoelectric patches

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Figure 5

The control performance of first mode using SSDNC method. (a) Time history of displacement. (b) Voltage and displacement with control.

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Figure 6

The control performance of first mode using SSDI method. (a) Time history of displacement. (b) Voltage and displacement with control.

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Figure 7

The spectrum of displacements of the first mode with SSDNC and SSDI control

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Figure 8

The control performance of second mode using SSDNC method. (a) Time history of displacement. (b) Voltage and displacement with control.

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Figure 9

The control performance of second mode using SSDI method. (a) Time history of displacement. (b) Voltage and displacement with control.

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Figure 10

The spectrum of displacements of the second mode with SSDNC and SSDI control. (a) Spectrum of displacement without and with control. (b) Enlarged around the resonant frequency of the second mode.

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Figure 11

The control performance of two modes using classical SSDNC method. (a) Time history of displacement. (b) Voltage and displacement with control.

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Figure 12

The control performance of two modes using classical SSDI method. (a) Time history of displacement. (b) Voltage and displacement with control.

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Figure 13

The spectrum of displacements of the two modes with SSDNC and SSDI using classical switching strategy

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Figure 14

The control performance of two modes using adaptive SSDNC method. (a) Time history of displacement. (b) Voltage and displacement with control.

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Figure 15

The control performance of two modes using adaptive SSDI method. (a) Time history of displacement. (b) Voltage and displacement with control.

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Figure 16

The spectrum of displacements of the two modes with SSDNC and SSDI using adaptive switching strategy

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