第19卷
第6期
2011年6月
文章编号
1004-924X(2011)06-1298-08
光学精密工程
Optics and Precision Engineering
No. 6
Vol.19
Jun,2011
半电极含金属芯压电纤维的弯曲振动模型
边义祥1*，裘进浩2
（1.扬州大学机械工程学院，江苏扬州225127；
2.南京航空航天大学智能材料与结构研究所，江苏南京210016)
摘要：建立了甚臂梁结构的半电极含金属芯压电纤维(HMPF)的弯曲报动模型和动态测试模型。基于外加电压时的等效弯矩推导了悬臂梁结构的HMPF的弯曲振动模型；用第一类压电方程，推导了外加简谱激动电压时，HMPF的表面电位移、电荷和导纳，建立了动态测试模型，通过测量共振频率f.、反共振频率了.和低频电容CLF，得到HMPF的弹性柔顺系数、机电耦合系数、介电常数品和压电常数ds。叙述了弯曲报动模型和动态测量模型的建立过程和测试步骤，测试了3根HMPF样品，得到各参数的平均值，与为16，856×10-12Pa-1，ksi为0.179，为2251，ds为103.621
pC/N，测试结果表明所建立的动态测试方法可以快速、准确地测量HMPF的主要参数，关键调：率电极含金属芯压电纤维；压电振动；动态测试模型
中图分类号：O738；TM282
文献标识码：A
doi;10.3788/OPE,20111906.1298
Bending vibration model for
halfcoatedmetalcorepiezoelectricfiber
BIAN Yi-xiang',QIU Jinhao*
(1.MechanicalEngineering Institute,Yangzhou Uniuersity,Yangzhou 225127,China;
2.Key lab of SmartMaterialsand Structures,Nanjing University of
AeronauticsandAstronautics，Nanjing210016,China)*Correspondingauthor,E-mail:bianyiqiang@163.com
Abstract: A bending vibration model and a dynamic measuring model for a Half Coated Metal Core Pi-ezoelectric Fiber (HMPF) were established. On the basis of the equivalent bending moment from an applying voltage, the bend vibration model of HMPF for a cantilever structure was deduced. Accord-ing to the first piezoelectric equation, the surface electric displacements, electric charges and the ad-mittances of the HMPF were derived when the resonant exciting voltage was applied. Then, the dy-namic measuring model was established to measure the resonant frequencies, anti-resonant frequencies and the low frequency capacitances and to obtain the main parameters,elastic coefficients sfi ,electro mechanical coupling factors ks , dielectric constants es, and piezoelectric coefficients da. Three kinds of samples for HMPFs were measured, and their average values are elastic coefficient in 16. 856 X 1o-12 Pa1 , electromechanical coupling factor in 0. 179 , dielectric constant in 2 251 and piezoelectric
收稿日期：2010-08-16；修订日期：2010-09-29.
基金项目：国家自然基金重大研究计划资助项目（No，90923029)；江苏省创新学者攀登计划资助项目（No
BK2009020)