Research Papers

The Use of Damping Based Semi-Active Control Algorithms in the Mechanical Smart-Spring System

[+] Author and Article Information
Wander Gustavo Rocha Vieira

Department of Aeronautical Engineering,
Sao Carlos School of Engineering,
University of Sao Paulo,
Avenida Joao Dagnone, 1100,
Sao Carlos 13563-120, Sao Paulo, Brazil
e-mail: wander.vieira@usp.br

Fred Nitzsche

Department of Mechanical and
Aerospace Engineering,
Carleton University,
1125 Colonel By Drive ME3135,
Ottawa, ON K1S 5B6, Canada
e-mail: fred_nitzsche@carleton.ca

Carlos De Marqui, Jr.

Department of Aeronautical Engineering,
Sao Carlos School of Engineering,
University of Sao Paulo,
Avenida Joao Dagnone, 1100
Sao Carlos 13563-120, Sao Paulo, Brazil
e-mail: demarqui@sc.usp.br

1Corresponding author.

Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received March 8, 2017; final manuscript received September 8, 2017; published online October 20, 2017. Assoc. Editor: Lei Zuo.

J. Vib. Acoust 140(2), 021011 (Oct 20, 2017) (11 pages) Paper No: VIB-17-1095; doi: 10.1115/1.4038034 History: Received March 08, 2017; Revised September 08, 2017

In recent decades, semi-active control strategies have been investigated for vibration reduction. In general, these techniques provide enhanced control performance when compared to traditional passive techniques and lower energy consumption if compared to active control techniques. In semi-active concepts, vibration attenuation is achieved by modulating inertial, stiffness, or damping properties of a dynamic system. The smart spring is a mechanical device originally employed for the effective modulation of its stiffness through the use of semi-active control strategies. This device has been successfully tested to damp aeroelastic oscillations of fixed and rotary wings. In this paper, the modeling of the smart spring mechanism is presented and two semi-active control algorithms are employed to promote vibration reduction through enhanced damping effects. The first control technique is the smart-spring resetting (SSR), which resembles resetting control techniques developed for vibration reduction of civil structures as well as the piezoelectric synchronized switch damping on short (SSDS) technique. The second control algorithm is referred to as the smart-spring inversion (SSI), which presents some similarities with the synchronized switch damping (SSD) on inductor technique previously presented in the literature of electromechanically coupled systems. The effects of the SSR and SSI control algorithms on the free and forced responses of the smart-spring are investigated in time and frequency domains. An energy flow analysis is also presented in order to explain the enhanced damping behavior when the SSI control algorithm is employed.

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Fig. 1

Smart spring concept

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Fig. 2

Free body diagram of the main load path of the smart-spring (a) and free body diagram for the auxiliary load path in three different states: disengaged (b), auxiliary load partially engaged (c), and (d) fully engaged

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Fig. 3

Detailing of the SSR auxiliary load path releasing/engaging dynamics

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Fig. 5

Free response of the smart-spring using the equivalent switching procedures for the (a) soft configuration, (b) hard configuration, (c) SSR, and (d) SSI

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Fig. 4

Detailing of the SSI auxiliary load path releasing/engaging dynamics

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Fig. 6

Time histories of the forces on the smart spring system for the (a) soft configuration, (b) hard configuration, (c) SSR, and (d) SSI

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Fig. 7

Energy flow analysis considering the (a) soft configuration, (b) hard configuration, (c) SSR, and (d) SSI

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Fig. 8

Harmonic forced response of the smart-spring using the equivalent switching procedures: (a) SSR and (b) SSI

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Fig. 9

Harmonic forced response of the main load path of the smart-spring using the SSR, SSI, engaged (hard) and disengaged (soft)

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Fig. 10

Schematics of a SDOF electromechanically coupled system combined to a nonlinear switching circuit

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Fig. 11

The comparison between (a) the electromechanical system described in a mechanical topology and (b) the smart-spring

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Fig. 12

The switching pattern of the smart spring: force due to the spring kq for the (a) SSDS scheme and (b) for the SSDI scheme; the switching pattern for the displacement of the main and auxiliary paths of the smart spring using (c) SSDS and (d) SSDI schemes




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