悬臂梁压电发电机的基频谐振频率与功率

First-order resonance frequency and power output of a cantilever piezoelectric generator

为了消除悬臂梁振动压电发电机的Roundy理论模型因未考虑质量块长度而带来的误差,在考虑质量块长度的前提下,以质量块质心作用于悬臂梁处的挠度为自由度,建立了悬臂梁振动压电发电机的模型,并得到了基频谐振频率、输出电压和输出功率的理论表达式.数值仿真表明:当质量块长度与悬臂梁长度接近时,该模型与Roundy模型之间的偏差较大;而当质量块长度与悬臂梁长度相差较大时,该模型与Roundy模型之间的偏差较小.实验结果表明,该模型与实验结果的误差要小于Roundy模型,该模型的精度要高于Roundy模型.

In order to eliminate the errors caused by the length of tip mass of Roundy model on the cantilever vibration piezoelectric generator,under the premise of considering the length of tip mass,this paper takes the deflection of cantilever where mass center of tip mass acts upon as degree of freedom,and establishes the theoretical model and derives the equation of the first order resonant frequency,output voltage and output power of the cantilever vibration piezoelectric generator.The proposed model was compared with Roundy model by numerical simulation,and the result shows when the length of tip mass is close to the length of cantilever,the deviation between the proposed model and Roundy model is larger,and when the difference between length of tip mass and length of cantilever is bigger,the deviation between the proposed model and Roundy model is smaller.The experimental results show that the errors between the proposed model and experiment is less than Roundy model,the accuracy of the proposed model is better than Roundy model.