含负电容谐振分流电路的压电声子晶体梁的局域共振带隙与振动衰减

Local resonance band gaps and corresponding vibration attenuations of a piezoelectric phononic beam consisting of negative capacitor based resonant circuits

通过在树脂梁上周期贴敷压电片,并连接由被动电阻-电感(RL)谐振分流电路和负电容(NC)电路串联而成的分流电路,构造了压电声子晶体梁结构。采用传递矩阵法计算了该类型压电声子晶体梁结构的带隙特性,并对电阻、电感和负电容对局域共振带隙的影响进行了深入分析,发现分流电路中的LC电磁振荡回路可产生局域共振带隙,而串联的负电容电路则可增强压电片的机电耦合效率,从而增强带隙衰减范围和衰减幅值。采用振动实验方法对理论分析结果进行了验证,证实串联的负电容对局域共振带隙的增强作用,为局域共振声子晶体的设计提供了新的思路。

Periodic arrays of piezoelectric patches connected with serial negative capacitive-resistive-inductive （SNCRI） circuits were attached to an epoxy beam so as to construct a piezoelectric phononic beam structure.The band-gap structure of the piezoelectric phononic beam was analysed with the transfer matrix approach.Subsequently,the influences of the resistance, inductance and negative capacitance parameters on local resonance band-gap were discussed.It is found that the LC oscillator circuit can lead to local resonance band-gap,and the negative capacitive circuits can enhance the electromechanical coupling efficiency of piezoelectric patches,i.e.the attenuation in the local resonance band-gap is enlarged thereby.Vibration experiments were conducted to validate the theoretical predictions,and considerable gap enhancements by negative capacitance were observed.The work provides a new way in the design of phononic crystals with tunable band gaps.