摘 要：压电分流电路的电磁振荡可以使声子晶体杆产生局域共振带隙。分析了杆局域共振带隙的形成机理，运用传递矩阵法计算了杆的带隙结构，并对分流电路中电感、电容和电阻对局域共振带隙的影响进行了研究。压电分流电路的电磁振荡可以使压电片的等效弹性模量变为负值，从而使贴有压电片梁的弹性模量减小，当弹性模量实部等于零时，振动无法在杆中传播，形成局域共振带隙。通过改变分流电路中电感和电容参数可以方便的调节局域共振带隙的位置，为声子晶体带隙的主动控制提供了一种新的方法。

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.