摘要
为了更加精确的表达悬臂梁式压电能量收集器的输出特性并优化其结构参数,设计一种分布参数建模法,首先根据Rayleigh-Ritz法和Euler-Bernoulli梁理论,建立悬臂梁式压电能量收集器的分布参数模型的偏微分方程;基于压电效应,通过高斯定理与基尔霍夫定律将机械部分与电路部分耦合起来,建立起压电能量收集器的分布参数模型,求出了机械振动响应和电学响应;基于分布参数模型,对压电能量收集器施加简谐激励,利用MATLAB计算末端质量块质量、结构尺寸对输出能量的影响,并进行负载阻抗匹配;最后通过实验来验证末端质量块对输出能量的影响以及分布参数模型的正确性。
To express more precisely the output characteristics of the cantilever piezoelectric energy har- vester and optimize the structure parameters, a distributed parameter modeling method is designed in the paper. Firstly, a partial differential equation is established with the Rayleigh-Ritz method and the Euler- Bernoulli beam theory. Then, distributed parameter model is established and the mechanical vibration re- sponse and electrical response are obtained based on the piezoelectric effect according to Kirchhoff＇ s law Gauss theorem. Next, harmonic excitation is applied to the piezoelectric energy harvester by using MAT- LAB to calculate the impact of the end of the mass quality, structure and size of the output energy and the load impedance based on distributed parameter model. Finally, experiments are conducted to verify the correctness of distributed parameter model and the influence of the quality of the end of the block on the output characteristic.
出处
《南昌工程学院学报》
CAS
2016年第4期1-9,共9页
Journal of Nanchang Institute of Technology
关键词
悬臂梁
压电
分布参数模型
输出能量
cantilever
piezoelectric
distributed parameter model
output energy
