第19卷第8期 2011年8月
文章编号1004-924X(2011)08-1771-08
光学精密工程
Optics and Precision Engineering
Vol.19No.8
Aug.2011
悬臂梁式压电振动能采集器的建模及实验验证
贺学锋1,2*，杜志刚2，赵兴强2，温志渝1，2，印显方2
(1.重庆大学光电技术及系统教育部重点实验室，重庆400044；2.重庆大学微系统研究中心，重庆400044）摘要：为了根据环境报动和电学负载的特点对悬臂梁式微型压电振动能采集器进行优化，本文考患质量块质心与悬臂架末端的位置差异，建立了在基础激励作用下采集器的运动微分方程和边界条件。通过引人常数，建立了对单压电层、双压电层并联和双压电层串联的3个悬臂架式微型压电振动能采集器均适用的耦合电路方程，得到了采集器固有额率和振型的表达式，推导了简谐基础激励和任意基础激励作用下的输出电压表达式。实验结果显示，对于3个振动能采集器样机面言，以上固有频率和输出电压表达式的相对误差分别小于10%和20%，表明该模型基本满足微型压电振动能采集器优化设计的要求。
关键词：压电振动能采集器；悬臂梁；建模
中图分类号：TN384
文献标识码：A
doi;10.3788/OPE.20111908.1771
Modelingandexperimentalverificationforcantilevered
piezoelectricvibrationenergyharvester
HE Xue-feng'-2·, DU Zhi-gang’, ZHAO Xing-qiang', WEN Zhi-yu'-?, YIN Xian-fang
(l.KeyLaboratory of OptoelectronicTechnologyand Systems of the
EducationMinistryofChina，ChongqingUniversity，Chongqing400044，China; 2.MicrosystemResearchCenter，ChongqingUniversity，Chongqing400044，China)
*Correspondingauthor,E-mail;hezuefeng@cqu.edu.cn
Abstract: To optimize cantilevered piezoelectric vibration energy harvesters according to the characters of the environmental vibration and the electrical loads,a differential equation of motion and the bound ary conditions for a cantilevered piezoelectric vibration energy harvester were established in considera tion of the position difference between the center of proof mass and the free end of cantilever. A uni-form coupled circuit equation applicable to the harvesters with one piezoelectric layer, two series con nected piezoelectric layers and two parallel connected piezoelectric layers was developed by introducing several constants,and the expressions of the natural frequencies and corresponding mode shapes were obtained. Furthermore, the closed-form expressions of the output voltages were derived for harmonic base accelerometer excitations and arbitrary base accelerometer excitations. Experimental results indi cate that the relative errors of the natural frequency expression and the output voltage expression are smaller than 1o% and 2o% respectively for three harvester prototypes,which shows that the model
收稿日期：2011-01-29；修订日期：2011-02-27.
基金项目：国家自然科学基金资助项目（No.61076106)；高等学校科技创新工程重大项目培育基金资助项目（No.
708072)；国家863高技术研究发展计划资助项目（No.2008AA04Z310）