Locally resonant band gaps and the corresponding vibration attenuations of the piezoelectric phononic beam consisted of negative capacitor based resonant circuits

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Journal of Vibration and Shock ›› 2016, Vol. 35 ›› Issue (10) : 38-43.

CHEN Liang 1 DU Hongjun1WANG Gang 2 ZHANG Hao 3

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Abstract

Periodic arrays of piezoelectric patches connected with serial negative capacitance-resistive-inductive (SNCRL) circuits are attached to an epoxy beam in order to construct a piezoelectric phononic beam structure. The band-gaps structure of the piezoelectric phononic beam is calculated with the transfer matrix approach. Subsequently, the influences of the resistance, inductance and negative capacitance parametric on locally resonant band-gaps are analysed. It is found that the LC oscillator circuit can lead to locally resonant band-gaps, and the negative capacitive circuits can enhance the electromechanical coupling efficiency of piezoelectric patches, i.e. the attenuation in the locally resonant band-gaps are enlarged thereby. Finally, vibration experiments are conducted to validate the theoretical predictions, and considerable gap enhancements by negative capacitance are observed. This work provides a new way in the design of phononic crystals with tunable band gaps.

Key words

phononic crystal / piezoelectric shunting / negative capacitive / locally resonant

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CHEN Liang 1 DU Hongjun1WANG Gang 2 ZHANG Hao 3. Locally resonant band gaps and the corresponding vibration attenuations of the piezoelectric phononic beam consisted of negative capacitor based resonant circuits[J]. Journal of Vibration and Shock, 2016, 35(10): 38-43

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