压电网络复合板的波动特性与隔声性能分析

在压电网络复合板机电耦合波动方程基础上,首先对在其中传播的弯曲波的波动特性进行了分析,发现压电网络复合板中同时存在两种不同频散特性的弯曲波,电感电阻并联型压电网络复合板中存在的两种弯曲波的频散曲线具有频率转向现象;在频率转向区,弯曲波的衰减常数或达到最大或迅速增大这一结论为压电网络复合板的减振降噪设计提供了参考。对压电网络复合板中的能量分析给出了这一结论的机理:即在频率转向区板中的机械能与电能能够进行最大的能量交换;在波动分析的基础上对压电网络复合板的隔声特性进行了分析,发现压电网络复合板隔声曲线上的低谷随外界电感值的变化能够发生移动或者消失,最后结合压电网络复合板的波动频散特性对复合板的隔声机理进行了分析,为设计压电网络复合板的隔声性能提供了理论参考。 

Wave propagation and insulation performance of the plate with piezoelectric network

Based on the electromechanical-dynamic equations of the plate with piezoelectric network,it is analyzed the characteristics of the bending wave propagating in the plate,and found that there are different dispersion properties of bending waves in plate for different piezoelectric networks.There exist a frequency-veering phenomena on the diagram of dispersion curves of bending waves propagating in the plates with piezoelectric network;Attenuation constant of bending wave reaches the maximum value or grow rapidly in the frequency veering zones.This result provides a reference for the design of reduction of vibration and noise.An analysis of energy of the system shows that mechanical energy and electric energy will exchange maximum in the frequency veering zones.In addition the sound transmission loss of the plate with piezoelectric network is analyzed.It is found that the inductance of the network can make the coincidence-effect zones change or vanish.The sound insulation mechanism of the plate with piezoelectric network is revealed,which could benefit the design of the sound insulation of the plate with piezoelectric network.