微振动输送中圆盘型压电振子的动力学分析

目的研究压电陶瓷振动给料器的双晶片压电振子,求出其力学表达式,为振动给料器的双压电晶片的优化设计奠定理论基础。方法以螺旋式压电振动给料器的圆盘型压电振子为例,对圆盘型压电双晶片进行动力学分析,建立振动模型及动力学方程,对激振力进行求解。结果运用Rayleigh-Ritz法推导出在简支边界条件下,双压电晶片振子的弯曲振动的共振频率以及激振力表达式,得出最大误差出现在160 V处,理论计算与实验验证数据的误差为10%左右,有限元分析与实验验证数据的误差为5%左右。结论通过实验可以看出在实际应用中,要综合考虑其电压输入与压电陶瓷层的变形程度,选择最佳的电能输入,才能使压电双晶片获得最大的激励位移。

Dynamics Analysis of Disc Type Piezoelectric Vibrator during Micro Vibration Transportation

This experiment aimed to investigate the bimorph piezoelectric vibrator of piezoelectric ceramic vibration feeder and propose the mechanical expression so as to lay a theoretical foundation for optimization design. Taking disk piezoelectric oscillator of spiral type piezoelectric vibration feeder as an example, the dynamic analysis was carried out on the disc-type double piezoelectric wafer, the vibration model and the dynamic equation were established for solving vibration force. Using Rayleigh Ritz method, the resonant frequency of the bending vibration of bimorph oscillator and the exciting force expressions were deduced under the simply supported boundary conditions. It was concluded that the maximum error appeared at 160 V, the error between the theoretical calculation and the experimental verification of data was about 10%, the error between the finite element analysis and the experiment validation data was about 5%. Through the experiment, it was concluded that, in practice, the input voltage of the piezoelectric layer and the deformation degree should be equally considered and the best power input should be selected to achieve maximum displacement of the double piezoelectric wafer.