复合L形宽频压电悬臂梁的建模与仿真

中国机械工程 ›› 2013, Vol. 24 ›› Issue (14): 1933-1938.

复合L形宽频压电悬臂梁的建模与仿真

王光庆;鲍鹏;陆跃明

浙江工商大学，杭州，310018

出版日期:2013-07-25 发布日期:2013-07-29
基金资助:
国家自然科学基金资助项目(51277165)；浙江省自然科学基金资助项目（Y1080037）；浙江省教育厅资助项目(Y201223050)；浙江省高校优秀青年教师计划资助项目；浙江工商大学青年人才基金资助项目
National Natural Science Foundation of China（No. 51277165）;

Zhejiang Provincial Natural Science Foundation of China（No. Y1080037）;
Zhejiang Provincial Program of Ministry of Education of China（No. Y201223050）

Modeling and Simulation Analysis for a L-shaped Wideband Piezoelectric Cantilever Beam

Wang Guangqing;Bao Peng;Lu Yueming

Zhejiang Gongshang University,Hangzhou,310018

Online:2013-07-25 Published:2013-07-29
Supported by:

National Natural Science Foundation of China（No. 51277165）;

Zhejiang Provincial Natural Science Foundation of China（No. Y1080037）;
Zhejiang Provincial Program of Ministry of Education of China（No. Y201223050）

摘要/Abstract

摘要：

为提高单频压电悬臂梁的振动能量采集转换效率，提出一种复合L形压电悬臂梁的宽频拓展技术，通过在单频压电悬臂梁水平结构中增加一个辅助垂直悬臂梁，组成L形压电悬臂梁，通过控制L形压电悬臂梁的结构和材料参数使悬臂梁的2阶模态频率为1阶模态频率的2倍，将1阶、2阶模态频率串联起来形成一个宽频的谐振带。利用拉格朗日方程和模态假设法建立了L形压电悬臂梁的频率方程和振动方程，通过数值仿真分析了L形压电悬臂梁结构和材料参数对其频率特性和振动特性的影响，并确定了系统的最佳结构和材料参数，实例验证了悬臂梁宽频拓展方法的正确性。

关键词: 宽频, L形压电悬臂梁, 频率特性, 振动特性, 能量采集器

Abstract:

In order to improve the transfer efficiency of the traditional single-frequency piezoelectric cantilever beam used in the energy harvesting technologies (EHT),an L-shaped piezoelectric cantilever beam, which was composed by a horizontal beam and a vertical beam, was proposed to wideband the frequency performance. The frequency-band was expanded by optimizing the structure and material parameters to reduce the distance between the 1st modal frequency and the 2nd modal frequency. The frequency equation and the vibration equation were derived according to Lagrange function and modal assumed method. The effects of the structure and material parameters on the frequency characteristics and the vibration characteristics were studied by numerical simulations.

Key words: wideband frequency, L-shaped piezoelectric cantilever beam, frequency characteristic, vibration characteristic, energy harvester

中图分类号:

TM356

王光庆, 鲍鹏, 陆跃明. 复合L形宽频压电悬臂梁的建模与仿真[J]. 中国机械工程, 2013, 24(14): 1933-1938.

WANG Guang-Qiang, BAO Feng, LIU Ti-Meng. Modeling and Simulation Analysis for a L-shaped Wideband Piezoelectric Cantilever Beam[J]. China Mechanical Engineering, 2013, 24(14): 1933-1938.

参考文献

[1]Glyne-JonesP,WhiteN M.Self-poweredSystems:aReviewofEnergySources[J].SensorsReview,2001,21(2):91-97.
[2]PriyaS,InmanDJ.能量采集技术[M].黄见秋,黄庆安.译.南京:东南大学出版社,2011.
[3]闻邦椿等著.振动利用工程[M],2005:432.
[4]RoundyS,LelandES,BakerJ,etal.ImprovingPowerOutputforVibration-BasedEnergyScavengers[J].IEEEPervasiveComputing,2005,4(1):28-36.
[5]LiuY M,TianG,WangY,etal.ActivePiezoelectricEnergyHarvesting:GeneralPrincipleandExperimentalDemonstration[J].JournalofIntelligentMaterialSystemsandStructures,2009,20:575-585.
[6]NgTH,LiaoW H.SensitivityAnalysisandEnergy HarvestingforaSelf-powered PiezoelectricSensor[J].JournalofIntelligentMaterialSystemsandStructures,2005,128:187-195.
[7]BakerJ,RoundyS,WrightP.AlternativeGeometriesforIncreasingPowerDensityinVibrationEnergy Scavenging for Wireless Sensor Networks[C]//Proceedingsofthe3rdInternationalConferenceonEnergyConversionEngineering.SanFrancisco,2005:950-970.
[8]ChoJH,RichardsRF,RichardsCD.EfficiencyofEnergyConversionbyPiezoelectric[J].AppliedPhysicsLetters,2006,89(104):1071-1073.
[9]阚君武[1],唐可洪[1],王淑云[2],杨志刚[1],贾杰[1],曾平[1].压电悬臂梁发电装置的建模与仿真分析[J].光学精密工程,2008,16(1):71-75.
[10]KanJunwu,TangKehong,WangShuyun,etal.ModelingandSimulationofPiezoelectricCantileverGenerators[J].OpticsandPrecisingEngineering,2008,16(1):71-75.
[11]贺学锋[1,2],温志渝[1,2],温中泉[1,2],尚正国[1,2],刘海涛[2],廖海洋[1,2].振动式压电发电机的理论模型与实验[J].纳米技术与精密工程,2007,5(4):307-310.
[12]HeXuefeng,WenZhiyu,WenZhongquan,etal.Mathematical Model and Experiment of Vibration-basedPiezoelectricGenerator[J].NanotechnologyandPrecisionEngineering,2007,5(4):307-310.
[13]温志渝[1,2,3],温中泉[1,2,3],贺学锋[1,2,3],廖海洋[1,2,3],刘海涛[1,3].振动式压电发电机及其在无线传感器网络中的应用[J].机械工程学报,2008,44(11):75-79.
[14]WenZhiyu,WenZhongquan,HeXuefeng,etal.Vibration-basedPiezoelectricGeneratoranditsApplicationintheWirelessSensorNode[J].ChineseJournalof MechanicalEngineering,2007,5(4):307-310.
[15]YuanJB,XieT,Chen W S.EnergyHarvstingwithPiezoelectricCantileverTransducer[C]//2008IEEE International Ultrasonic Symposium.Beijing,2008:1397-1400.
[16]HuYT,XueH,HuHP.APiezoelectricPowerHarvesterwithAdustableFreqencythroughAxialPreloads[J].SmartMater.Struc.,2007,7:1961-1966.
[17]JiangS,LiX,GuoSH.PerformanceofaPiezoelectricBimorphforScavenging VibrationEnergy[J].SmartMater.Struc.,2005,14:769-774.
[18]ErturkA,RenoJM,InmanDJ.ModelingofPiezoelectricEnergy HarvestingfromanL-shapedBeam-massStructurewithanApplicationtoUAVs[J].JournalofIntelligentMaterialSystemandStructures,2009,20:529-544.
[19]方同,薛璞著.振动理论及应用[M],1998:364.