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Research Papers

Exact H2 Optimal Tuning and Experimental Verification of Energy-Harvesting Series Electromagnetic Tuned-Mass Dampers

[+] Author and Article Information
Yilun Liu, Jason Parker

Department of Mechanical Engineering,
Virginia Tech,
Blacksburg, VA 24060

Chi-Chang Lin

Department of Civil Engineering,
National Chung Hsing University,
Taichung 40227, Taiwan

Lei Zuo

Department of Mechanical Engineering,
Virginia Tech,
Blacksburg, VA 24060
e-mail: leizuo@vt.edu

Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received October 19, 2015; final manuscript received June 28, 2016; published online August 8, 2016. Assoc. Editor: Mohammed Daqaq.

J. Vib. Acoust 138(6), 061003 (Aug 08, 2016) (12 pages) Paper No: VIB-15-1445; doi: 10.1115/1.4034081 History: Received October 19, 2015; Revised June 28, 2016

Energy-harvesting series electromagnetic-tuned mass dampers (EMTMDs) have been recently proposed for dual-functional energy harvesting and robust vibration control by integrating the tuned mass damper (TMD) and electromagnetic shunted resonant damping. In this paper, we derive ready-to-use analytical tuning laws for the energy-harvesting series EMTMD system when the primary structure is subjected to force or ground excitations. Both vibration mitigation and energy-harvesting performances are optimized using H2 criteria to minimize root-mean-square (RMS) values of the deformation of the primary structure or maximize the average harvestable power. These analytical tuning laws can easily guide the design of series EMTMDs under various external excitations. Later, extensive numerical analysis is presented to show the effectiveness of the series EMTMDs. The numerical analysis shows that the series EMTMD more effectively mitigates the vibration of the primary structure nearly across the whole frequency spectrum, compared to that of classic TMDs. Simultaneously, the series EMTMD can better harvest energy due to its broader bandwidth effect. Beyond simulations, this paper also experimentally verifies the effectiveness of the series EMTMDs in both vibration mitigation and energy harvesting.

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Figures

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Fig. 1

(a) Classic TMD, (b) dual-functional series EMTMD for energy harvesting and vibration control, and (c) simplified model of dual-functional series EMTMD

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Fig. 2

Graphical representations of the H2 tuning laws: (a) optimal mechanical tuning ratio f1, (b) optimal electromagnetic mechanical coupling coefficient μk, (c) optimal electrical tuning ratio fe, and (d) optimal electrical damping ratio ζe

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Fig. 3

Optimal performance index PIopt for vibration mitigation

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Fig. 4

The optimal normalized frequency response for vibration mitigation in comparison with the classic TMD and the system without a TMD, where mass ratio μ=0.01. (a) Force excitation system and (b) ground excitation system.

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Fig. 5

The vibration performance change to the changes of the design parameters in the force excitation system. (a) The changes of the stiffness of mechanical shock absorber k1 and the inductance of electrical resonator L and (b) the changes of the capacitance C and total resistance R.

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Fig. 6

The normalized linear power spectrum density (W/Hz) of harvestable energy in ideal series EMTMDs optimized for vibration mitigation in comparison with that of classic TMDs. In ideal series EMTMDs, Ri=0 and kv=kf.

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Fig. 7

The experimental setup of series EMTMD with adjustable elements: (a) front view and (b) top view

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Fig. 8

Theoretical and experimental frequency response of the series EMTMD system and the system without electrical resonator

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Fig. 9

Experimental output voltage across on external resistive load Re under an impulse force excitation

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