Linearization and optimal pid control of an electro-magnetic vibration absorber with a levitated auxiliary mass

Lyndon S. Stephens; Marc A. Timmerman

doi:10.1115/DETC99-VIB-8390

Linearization and optimal pid control of an electro-magnetic vibration absorber with a levitated auxiliary mass

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

Electromagnetic vibration absorbers (EMA's) act in analogy to timed bandstop filters by attenuating vibration modes of mechanical structures over a narrow bandwidth of frequencies. This paper presents the basic dynamic equations and a model of the nonlinear magnetic actuator force that includes the effects of magnetic flux leakage for the EMA. The model also includes the effects of gravity and the reluctance of the magnet iron. A method for linearizing the magnetic force about any desired operating point is presented. Equations are presented mat give the optimal PID controller gains at any desired operating point in the air gap. Experimental actuator force measurements are also presented that are used to estimate flux leakage correction factors. Finally, PID controllers are synthesized and applied to an EMA test bed. Impulse response and harmonic response data verify the optimality of the controller gains, and show up to 19 dB attenuation of the main structure vibration when the EMA is tuned using the optimal control gains..

Original language	English
Title of host publication	17th Biennial Conference on Mechanical Vibration and Noise
Pages	2371-2378
Number of pages	8
ISBN (Electronic)	9780791880395
DOIs	https://doi.org/10.1115/DETC99-VIB-8390
State	Published - 1999
Event	ASME 1999 Design Engineering Technical Conferences, DETC 1999 - Las Vegas, United States Duration: Sep 12 1999 → Sep 16 1999

Publication series

Name	Proceedings of the ASME Design Engineering Technical Conference
Volume	7B-1999

Conference

Conference	ASME 1999 Design Engineering Technical Conferences, DETC 1999
Country/Territory	United States
City	Las Vegas
Period	9/12/99 → 9/16/99

Bibliographical note

Publisher Copyright:
© 1999 by ASME

ASJC Scopus subject areas

Mechanical Engineering
Computer Graphics and Computer-Aided Design
Computer Science Applications
Modeling and Simulation

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10.1115/DETC99-VIB-8390

Cite this

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title = "Linearization and optimal pid control of an electro-magnetic vibration absorber with a levitated auxiliary mass",

abstract = "Electromagnetic vibration absorbers (EMA's) act in analogy to timed bandstop filters by attenuating vibration modes of mechanical structures over a narrow bandwidth of frequencies. This paper presents the basic dynamic equations and a model of the nonlinear magnetic actuator force that includes the effects of magnetic flux leakage for the EMA. The model also includes the effects of gravity and the reluctance of the magnet iron. A method for linearizing the magnetic force about any desired operating point is presented. Equations are presented mat give the optimal PID controller gains at any desired operating point in the air gap. Experimental actuator force measurements are also presented that are used to estimate flux leakage correction factors. Finally, PID controllers are synthesized and applied to an EMA test bed. Impulse response and harmonic response data verify the optimality of the controller gains, and show up to 19 dB attenuation of the main structure vibration when the EMA is tuned using the optimal control gains..",

author = "Stephens, {Lyndon S.} and Timmerman, {Marc A.}",

note = "Publisher Copyright: {\textcopyright} 1999 by ASME; ASME 1999 Design Engineering Technical Conferences, DETC 1999 ; Conference date: 12-09-1999 Through 16-09-1999",

year = "1999",

doi = "10.1115/DETC99-VIB-8390",

language = "English",

series = "Proceedings of the ASME Design Engineering Technical Conference",

pages = "2371--2378",

booktitle = "17th Biennial Conference on Mechanical Vibration and Noise",

}

Stephens, LS & Timmerman, MA 1999, Linearization and optimal pid control of an electro-magnetic vibration absorber with a levitated auxiliary mass. in 17th Biennial Conference on Mechanical Vibration and Noise. Proceedings of the ASME Design Engineering Technical Conference, vol. 7B-1999, pp. 2371-2378, ASME 1999 Design Engineering Technical Conferences, DETC 1999, Las Vegas, United States, 9/12/99. https://doi.org/10.1115/DETC99-VIB-8390

Linearization and optimal pid control of an electro-magnetic vibration absorber with a levitated auxiliary mass. / Stephens, Lyndon S.; Timmerman, Marc A.
17th Biennial Conference on Mechanical Vibration and Noise. 1999. p. 2371-2378 (Proceedings of the ASME Design Engineering Technical Conference; Vol. 7B-1999).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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T1 - Linearization and optimal pid control of an electro-magnetic vibration absorber with a levitated auxiliary mass

AU - Stephens, Lyndon S.

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N2 - Electromagnetic vibration absorbers (EMA's) act in analogy to timed bandstop filters by attenuating vibration modes of mechanical structures over a narrow bandwidth of frequencies. This paper presents the basic dynamic equations and a model of the nonlinear magnetic actuator force that includes the effects of magnetic flux leakage for the EMA. The model also includes the effects of gravity and the reluctance of the magnet iron. A method for linearizing the magnetic force about any desired operating point is presented. Equations are presented mat give the optimal PID controller gains at any desired operating point in the air gap. Experimental actuator force measurements are also presented that are used to estimate flux leakage correction factors. Finally, PID controllers are synthesized and applied to an EMA test bed. Impulse response and harmonic response data verify the optimality of the controller gains, and show up to 19 dB attenuation of the main structure vibration when the EMA is tuned using the optimal control gains..

AB - Electromagnetic vibration absorbers (EMA's) act in analogy to timed bandstop filters by attenuating vibration modes of mechanical structures over a narrow bandwidth of frequencies. This paper presents the basic dynamic equations and a model of the nonlinear magnetic actuator force that includes the effects of magnetic flux leakage for the EMA. The model also includes the effects of gravity and the reluctance of the magnet iron. A method for linearizing the magnetic force about any desired operating point is presented. Equations are presented mat give the optimal PID controller gains at any desired operating point in the air gap. Experimental actuator force measurements are also presented that are used to estimate flux leakage correction factors. Finally, PID controllers are synthesized and applied to an EMA test bed. Impulse response and harmonic response data verify the optimality of the controller gains, and show up to 19 dB attenuation of the main structure vibration when the EMA is tuned using the optimal control gains..

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Linearization and optimal pid control of an electro-magnetic vibration absorber with a levitated auxiliary mass

Abstract

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