双稳态压电悬臂梁发电性能分析  

Electrical Performance Analysis of a Bistable Piezoelectric Cantilever

作　　者：孙舒[1,2] 曹树谦[1,2] 

机构地区：[1]天津大学机械工程学院,天津300072 [2]天津市非线性动力学与混沌控制重点实验室,天津300072

出　　处：《压电与声光》2013年第4期540-544,548,共6页Piezoelectrics & Acoustooptics

基　　金：国家自然科学基金资助项目(11172199)

摘　　要：利用增量谐波平衡法(IHB)对双稳态压电发电系统的发电性能进行了研究。首先通过与龙格-库塔法(R-K)数值计算的结果相对比,证明IHB法解的有效性;其次利用IHB法分别计算了磁化强度不同时双稳态压电发电系统的电压幅频响应曲线及不同的负载电阻下的发电功率,得出双稳态压电发电系统的电压幅频响应存在解的跳跃现象,并且当磁场强度增大时,电压幅频曲线向右偏移,大幅运动的响应频带变宽,最大幅值变大。另外,分析了系统电阻匹配问题,只有选择合适的电阻值时,发电功率才能达到最大;最后与线性压电发电系统相比,得到双稳态压电发电系统在低频宽带下能产生较高的发电功率。By applying incremental harmonic balance（IHB） method,the electrical performance of the bistable piezoelectric power generation system is analyzed.Firstly,the effectiveness of IHB method is verified by comparing with the numerical results of Runge-Kutta（R-K） method.Secondly,the amplitude-frequency response curve under different magnetization and the generation power under different load resistance are calculated by IHB method.It is shown that the jump phenomenon is present on the amplitude-frequency response curve,and with magnetization increasing,the curve offsets to the right,the frequency band is broadened,the value of maximum amplitude is increased.In addition,the impedance matching problem is analyzed.The generation power reaches the maximum by proper selections of resistance.Finally,comparison with the linear piezoelectric power generation system shows the bistable piezoelectric power generation system has higher power under a lower broadband frequency.

关 键 词：双稳态 压电悬臂梁 发电性能 增量谐波平衡法 

分 类 号：TN384[电子电信—物理电子学] O313[理学—一般力学与力学基础]