When optimized, tuned mass dampers (TMDs) can effectively mitigate the vibration of the primary structure, because additional resonance and damping are introduced by the auxiliary mass-spring-damper system. Similar effect can be realized without auxiliary mass when an electromagnetic transducer shunt with the R-L-C resonant circuit is placed between the primary structure and the base. This paper is to analytically optimize the parameters of the R-L-C circuits for vibration mitigation. Both and optimization criteria are investigated, which are to minimize the root-mean-square (RMS) vibration under random excitation and the peak magnitude in the frequency domain, respectively. The concise closed-form solutions of the optimal parameters are then summarized together with the ones obtained the using fixed-point method, for practical implementation convenience. The and optimizations of energy harvesting are also discussed in this paper. Furthermore, we also investigate the sensitivity of system performances to the tuning parameter changes of the electromagnetic shunt circuit.
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February 2016
Research-Article
Analytical Solutions to H2 and H∞ Optimizations of Resonant Shunted Electromagnetic Tuned Mass Damper and Vibration Energy Harvester
Xiudong Tang
,
Xiudong Tang
Department of Mechanical Engineering,
Stony Brook University,
Stony Brook, NY 11794
Stony Brook University,
Stony Brook, NY 11794
Search for other works by this author on:
Yilun Liu
,
Yilun Liu
Department of Mechanical Engineering,
Virginia Tech,
Blacksburg, VA 24061
Virginia Tech,
Blacksburg, VA 24061
Search for other works by this author on:
Wen Cui
,
Wen Cui
Department of Mechanical Engineering,
Stony Brook University,
Stony Brook, NY 11794
Stony Brook University,
Stony Brook, NY 11794
Search for other works by this author on:
Lei Zuo
Lei Zuo
Department of Mechanical Engineering,
Virginia Tech,
Blacksburg, VA 24061;
Virginia Tech,
Blacksburg, VA 24061;
Department of Mechanical Engineering,
Stony Brook University,
Stony Brook, NY 11794
e-mail: leizuo@vt.edu
Stony Brook University,
Stony Brook, NY 11794
e-mail: leizuo@vt.edu
Search for other works by this author on:
Xiudong Tang
Department of Mechanical Engineering,
Stony Brook University,
Stony Brook, NY 11794
Stony Brook University,
Stony Brook, NY 11794
Yilun Liu
Department of Mechanical Engineering,
Virginia Tech,
Blacksburg, VA 24061
Virginia Tech,
Blacksburg, VA 24061
Wen Cui
Department of Mechanical Engineering,
Stony Brook University,
Stony Brook, NY 11794
Stony Brook University,
Stony Brook, NY 11794
Lei Zuo
Department of Mechanical Engineering,
Virginia Tech,
Blacksburg, VA 24061;
Virginia Tech,
Blacksburg, VA 24061;
Department of Mechanical Engineering,
Stony Brook University,
Stony Brook, NY 11794
e-mail: leizuo@vt.edu
Stony Brook University,
Stony Brook, NY 11794
e-mail: leizuo@vt.edu
1Corresponding author.
Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received February 1, 2014; final manuscript received October 7, 2015; published online November 23, 2015. Assoc. Editor: Jiong Tang.
J. Vib. Acoust. Feb 2016, 138(1): 011018 (8 pages)
Published Online: November 23, 2015
Article history
Received:
February 1, 2014
Revised:
October 7, 2015
Citation
Tang, X., Liu, Y., Cui, W., and Zuo, L. (November 23, 2015). "Analytical Solutions to H2 and H∞ Optimizations of Resonant Shunted Electromagnetic Tuned Mass Damper and Vibration Energy Harvester." ASME. J. Vib. Acoust. February 2016; 138(1): 011018. https://doi.org/10.1115/1.4031823
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