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| Research on Vibration Bandgaps of Phononic Rod With Piezoelectric Shunting Circuits |
Chen Sheng-bing; Han Xiao-yun; Wang Gang; Wen Ji-hong
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| Institute of Mechanical Engineering, National University of Defense Technology, Changsha 410073 |
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Abstract Abstract：The electromagnetic oscillations of piezoelectric shunting circuits can induce locally resonant gap in a phononic rod. The formation mechanisms of locally resonant gap are analyzed. The band gaps of the rod are calculated by transfer matrix method. Furthermore, the influences of inductance, capacitance and resistive in the shunting circuits to the locally resonant gap are summarized. The electromagnetic oscillations of piezoelectric shunting circuits make the equivalent elastic modulus of piezoelectric patch become to negative and reduce elastic modulus of the rod with piezoelectric patch. When the real part of elastic modulus equal to zero, vibration induces sound wave can’t propagate in the rod, so that locally resonant gap produced. The location of locally resonant gap can be actively tuned by changing the parameters of inductance and capacitance in the shunting circuits, which put forward a new way to actively control the band gaps of phononic crystals.
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Received: 24 December 2009
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2011, Vol. 30 
