Elastic metamaterials have been extensively investigated due to their significant effects on controlling propagation of elastic waves. One of the most interesting properties is the generation of band gaps, in which subwavelength elastic waves cannot propagate through. In the study, a new class of active elastic metamaterials with negative capacitance piezoelectric shunting is presented. We first investigated dispersion curves and band gap control of an active mass-in-mass lattice system. The unit cell of the mass-in-mass lattice system consists of the inner masses connected by active linear springs to represent negative capacitance piezoelectric shunting. It was demonstrated that the band gaps can be actively controlled and tuned by varying effective stiffness constant of the linear spring through appropriately selecting the value of negative capacitance. The promising application was then demonstrated in the active elastic metamaterial plate integrated with the negative capacitance shunted piezoelectric patches for band gap control of both the longitudinal and bending waves. It can be found that the location and the extent of the induced band gap of the elastic metamaterial can be effectively tuned by using shunted piezoelectric patch with different values of negative capacitance, especially for extremely low-frequency cases.
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December 2014
Research-Article
Band Gap Control in an Active Elastic Metamaterial With Negative Capacitance Piezoelectric Shunting
Y. Y. Chen,
Y. Y. Chen
1
Department of Systems Engineering,
University of Arkansas at Little Rock
,Little Rock, AR 72204
1Present address: Department of Mechanical and Aerospace Engineering, University of Missouri-Columbia, MO 65211.
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G. L. Huang,
G. L. Huang
1
Department of Systems Engineering,
e-mail: glhuang@ualr.edu
University of Arkansas at Little Rock
,Little Rock, AR 72204
e-mail: glhuang@ualr.edu
1Present address: Department of Mechanical and Aerospace Engineering, University of Missouri-Columbia, MO 65211.
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C. T. Sun
C. T. Sun
School of Aeronautics and Astronautics,
e-mail: sun@purdue.edu
Purdue University
,West Lafayette, IN 47907
e-mail: sun@purdue.edu
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Y. Y. Chen
Department of Systems Engineering,
University of Arkansas at Little Rock
,Little Rock, AR 72204
G. L. Huang
Department of Systems Engineering,
e-mail: glhuang@ualr.edu
University of Arkansas at Little Rock
,Little Rock, AR 72204
e-mail: glhuang@ualr.edu
C. T. Sun
School of Aeronautics and Astronautics,
e-mail: sun@purdue.edu
Purdue University
,West Lafayette, IN 47907
e-mail: sun@purdue.edu
1Present address: Department of Mechanical and Aerospace Engineering, University of Missouri-Columbia, MO 65211.
Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received October 12, 2013; final manuscript received July 31, 2014; published online September 11, 2014. Assoc. Editor: Jiong Tang.
J. Vib. Acoust. Dec 2014, 136(6): 061008 (8 pages)
Published Online: September 11, 2014
Article history
Received:
October 12, 2013
Revision Received:
July 31, 2014
Citation
Chen, Y. Y., Huang, G. L., and Sun, C. T. (September 11, 2014). "Band Gap Control in an Active Elastic Metamaterial With Negative Capacitance Piezoelectric Shunting." ASME. J. Vib. Acoust. December 2014; 136(6): 061008. https://doi.org/10.1115/1.4028378
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