This paper reports on the control of longitudinal wave propagation, in the kHz frequency range, using local and interconnected LC (inductance-capacitance) shunts distributed periodically along a rod. The LC shunts are connected to piezoelectric inserts and tuned to engender narrow or broad-band pass-bands in the forbidden band frequency range. The Bragg-scattering bandgaps are the result of the periodic mechanical mismatch between PMMA (polymethyl-methacrylate) of the rod and PZT (lead-zirconate-titanate). The narrow pass-bands correspond to the local configuration, where an equivalence between the mechanical impedance of the PMMA and PZT occurs around the shunt resonance frequency. Conversely, the interconnected shunts give a way to an electrical medium through which energy can propagate parallel to its mechanical counterpart, leading to broad pass-bands. This paper presents analytical models for calculating the dispersion and displacements of the 1D medium with interconnected LC shunts. An analytical formulation is also introduced to expediently identify the location of bandgaps and pass-bands in the medium comprised of local LC shunts. Moreover, analytical investigations are carried out to elucidate different physical phenomena giving rise to these pass-bands. The findings are experimentally validated using a finite periodic rod. The ability to tune the dispersion properties of the medium to control the width or depth of the bandgap, by utilizing local or interconnected shunts, offers a new and powerful application for piezoelectric shunts.
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11 September 2017
Research Article|
September 15 2017
Bandgap control with local and interconnected LC piezoelectric shunts
Edgar A. Flores Parra;
Edgar A. Flores Parra
1
ETH Zürich, Composite Materials and Adaptive Structures Laboratory
, Leonhardstrasse 21, 8092 Zürich, Switzerland
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Andrea Bergamini
;
Andrea Bergamini
a)
2
Empa, Laboratory for Mechanical Integrity of Energy Systems
, Überlandstrasse 129, 8600 Dübendorf, Switzerland
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Boris Lossouarn
;
Boris Lossouarn
3
Cnam, Structural Mechanics and Coupled Systems Laboratory
, Rue Saint-Martin 292, 75003 Paris, France
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Bart Van Damme;
Bart Van Damme
4
Empa, Laboratory for Acoustics/Noise Control
, Überlandstrasse 129, 8600 Dübendorf, Switzerland
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Mattia Cenedese
;
Mattia Cenedese
5
Politecnico di Milano
, Piazza Leonardo da Vinci 32, 20133 Milano, Italy
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Paolo Ermanni
Paolo Ermanni
1
ETH Zürich, Composite Materials and Adaptive Structures Laboratory
, Leonhardstrasse 21, 8092 Zürich, Switzerland
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Edgar A. Flores Parra
1
Andrea Bergamini
2,a)
Boris Lossouarn
3
Bart Van Damme
4
Mattia Cenedese
5
Paolo Ermanni
1
1
ETH Zürich, Composite Materials and Adaptive Structures Laboratory
, Leonhardstrasse 21, 8092 Zürich, Switzerland
2
Empa, Laboratory for Mechanical Integrity of Energy Systems
, Überlandstrasse 129, 8600 Dübendorf, Switzerland
3
Cnam, Structural Mechanics and Coupled Systems Laboratory
, Rue Saint-Martin 292, 75003 Paris, France
4
Empa, Laboratory for Acoustics/Noise Control
, Überlandstrasse 129, 8600 Dübendorf, Switzerland
5
Politecnico di Milano
, Piazza Leonardo da Vinci 32, 20133 Milano, Italy
Appl. Phys. Lett. 111, 111902 (2017)
Article history
Received:
July 07 2017
Accepted:
September 02 2017
Citation
Edgar A. Flores Parra, Andrea Bergamini, Boris Lossouarn, Bart Van Damme, Mattia Cenedese, Paolo Ermanni; Bandgap control with local and interconnected LC piezoelectric shunts. Appl. Phys. Lett. 11 September 2017; 111 (11): 111902. https://doi.org/10.1063/1.4994779
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