【摘要】 该文以悬臂式压电能量采集器为研究对象,针对Erturk推导的分布参数模型速度频率响应函数(VFF)仿真时发现在0～20 Hz时存在偏差问题,提出了VFF修正方法。首先介绍了含集中质量块的分布参数模型的VFF推导过程;然后通过0～20 Hz内的仿真分析,发现出现较大误差的原因是VFF表达式的第一项,因此,引入含参数α的正弦函数来减小误差。考虑到正弦函数的引入又将导致第二项产生误差,在第二项中引入含参数β的正切函数来减小误差;最后通过误差分析确定参数α、β的最优取值范围,并进行实例分析。结果表明,修正后分布参数模型下的速度频率响应与实验结果吻合。更多还原

【Abstract】 In this paper, the cantilever piezoelectric energy collector is taken as the research object, aiming at the problem that there existed a deviation of the velocity frequency response function(VFF) of the distributed parameter model derived by Erturk in the range of 0～20 Hz during the simulation, a VFF modification method is proposed in this paper. First, the derivation of the velocity frequency response function with a tip mass of the distributed parameter model is introduced. Then through the simulation and analysis of VFF in the range of 0～20 Hz, it is found that the reason for the main error is the first term of VFF expression, thus the sine function with parameter α introduced to reduce the error. Considering that the introduction of the sine function led to the error of the second term of VFF, the tangent function with parameter β was introduced to reduce the error. Finally, the optimal range of α and β was determined by error analysis, and an example is analyzed. The results show that the velocity frequency response of the modified distributed parameter model is consistent with the experimental results.更多还原