摘要
本文从理论上分析了双稳态压电俘能器在高频激励下的动力学行为和低频激励下的簇发振荡,旨在为系统找到多条高能轨道从而提高俘能效率.首先,介绍了双稳态压电俘能器的结构以及一般模型.与工程上研究俘能器的目的不同,本文主要从动力学方面分析了俘能器的运动,电压输出与效率,包括高频激励下系统的低能阱内周期运动、阱间混沌运动等,并说明了单个低频激励下双稳态压电俘能器会在阱间高能轨道上发生簇发振荡,但在阱内低能轨道上只做周期运动.同时,结合振幅以及势阱深度等因素对簇发振荡的存在性和强度进行分析.为了说明高能轨道与低能轨道对系统俘能效率的影响,讨论了不同的等效阻尼、负载电阻下俘能器输出电压的变化,找到了最优匹配.最后,对于多个低频外激励的情况,从不同的轨道组合模式上得到了双高能簇发振荡模式输出的电压最大,其次是单高能簇发振荡与单低能周期振荡的组合模式,输出电压最低的是双低能周期振荡模式.并与单个外激励进行对比,表现了多个激励的良好性能.
This paper theoretically analyzes the dynamic behavior of the bistable piezoelectric energy harvester by highfrequency excitation and the bursting oscillation by low-frequency excitation, in order to find multiple high-energy orbits for the system, so as to improve the energy harvesting efficiency. First, the structure and general model of the bistable piezoelectric energy harvester are introduced. Different from the research in engineering, this paper mainly studies the motion, voltage output and efficiency of the energy harvester in terms of dynamics, including the in-well low-energyperiodic motion and the inter-well chaos motion by high-frequency excitation. It is shown that the bistable piezoelectric energy harvester will produce bursting oscillation in inter-well high-energy orbits by a single low-frequency excitation,but only has periodic motion in in-well low-energy orbits. At the same time, the existence and intensity of the bursting oscillation are investigated in combination with the amplitude and well depth. To explain the effects of high-energy and low-energy orbits on the energy harvesting efficiency, the variation of the output voltage for different values of equivalent damping and load resistance is discussed, and the optimal matching is derived. Finally, in the case of multiple low-frequency external excitations, different orbital combination modes are analyzed. It is found that the output voltage of double-high-energy bursting oscillation mode is the largest, followed by the combination mode of single-high-energy bursting oscillation and single-low-energy periodic oscillation, and the output voltage of double-low-energy periodic oscillation mode is the lowest. The comparison with single external excitation shows the good performance of multiple excitations.
作者
钱有华
陈娅昵
Qian Youhua;Chen Yani(College of Mathematics and Computer Science,Zhejiang Normal University,Jinhua 321004,Zhejiang,China)
出处
《力学学报》
EI
CAS
CSCD
北大核心
2022年第11期3157-3168,共12页
Chinese Journal of Theoretical and Applied Mechanics
基金
国家自然科学基金(12172333)
浙江省自然科学基金(LY20A020003)资助项目。
关键词
高能轨道
低能阱内振荡
高能阱间振荡
混沌运动
输出电压
high-energy orbit
in-well low-energy oscillation
inter-well high-energy oscillation
chaos motion
output voltage
