On the Choice of the Shunt Circuit for Single-mode Vibration Damping of Piezoactuated Structures

Whenever a tuned-mass damper is attached to a primary system, motion of the absorber body in more than one degree of freedom (DOF) relative to the primary system can be used to attenuate vibration of the primary system. In this paper, we propose that more than one mode of vibration of an absorber body relative to a primary system be tuned to suppress single-mode vibration of a primary system. We cast the problem of optimization of the multi-degree-of-freedom connection between the absorber body and primary structure as a decentralized control problem and develop optimization algorithms based on the H2 and H-infinity norms to minimize the response to random and harmonic excitations, respectively. We find that a two-DOF absorber can attain better performance than the optimal SDOF absorber, even for the case where the rotary inertia of the absorber tends to zero. With properly chosen connection locations, the two-DOF absorber achieves better vibration suppression than two separate absorbers of optimized mass distribution. A two-DOF absorber with a negative damper in one of its two connections to the primary system yields significantly better performance than absorbers with only positive dampers.

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An autonomous shunt circuit for vibration damping

Smart Materials and Structures ◽

10.1088/0964-1726/15/2/016 ◽

2006 ◽

Vol 15 (2) ◽

pp. 359-364 ◽

Cited By ~ 51

Author(s):

Dominik Niederberger ◽

Manfred Morari

Keyword(s):

Vibration Damping ◽

Shunt Circuit

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Vibration damping systems using active negative capacitance shunt circuit with piezoelectric reaction mass actuator

The Journal of the Acoustical Society of America ◽

10.1121/1.420157 ◽

1997 ◽

Vol 102 (6) ◽

pp. 3246 ◽

Cited By ~ 3

Author(s):

Douglas R. Browning

Keyword(s):

Reaction Mass ◽

Vibration Damping ◽

Negative Capacitance ◽

Damping Systems ◽

Shunt Circuit

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

Journal of Vibration and Acoustics ◽

10.1115/1.4003146 ◽

2011 ◽

Vol 133 (4) ◽

Cited By ~ 39

Author(s):

Hongli Ji ◽

Jinhao Qiu ◽

Jun Cheng ◽

Daniel Inman

Keyword(s):

Composite Beam ◽

Vibration Suppression ◽

Piezoelectric Element ◽

Single Mode ◽

Resonant Circuit ◽

Negative Capacitance ◽

Control Performance ◽

Damping Effect ◽

Mode Control ◽

Shunt Circuit

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.

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Reducing Multiple Modes of Vibration by Digital Filtering and Input Shaping

ASME 2010 Dynamic Systems and Control Conference, Volume 2 ◽

10.1115/dscc2010-4170 ◽

2010 ◽

Cited By ~ 1

Author(s):

Joshua Vaughan ◽

William Singhose

Keyword(s):

Vibration Suppression ◽

Single Mode ◽

Input Shaping ◽

Notch Filters ◽

Modes Of Vibration ◽

Design Computation ◽

Mode Vibration ◽

Notch Filtering ◽

Multi Mode ◽

Better Than

The residual vibration of flexible systems can be reduced by properly shaping the reference command. There has been substantial evidence presented that input shaping is better than notch filtering for shaping reference commands to suppress vibration in mechanical systems. Much of this evidence is empirical comparisons between traditional filters and robust input shapers. Recently, a proof showing that notch filters are always equal to or longer in duration than an input shaper with identical single-mode vibration suppression constraints was presented. This paper expands on that previous result by extending the proof to multi-mode systems. The important ramification of this proof is that multi-mode input shapers suppress vibration more quickly than multi-mode notch filters. Ease of design, computation, and implementation are also discussed. Simulations of an industrial bridge crane demonstrate the key differences between the two methods.

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