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浙江大学学报(工学版)
J4  2010, Vol. 44 Issue (3): 528-532    DOI: 10.3785/j.issn.1008-973X.2010.03.021
电气工程     
悬臂梁单晶压电振子发电的理论建模与仿真
单小彪, 袁江波, 谢涛, 陈维山
哈尔滨工业大学 机电工程学院,黑龙江 哈尔滨 150001
Modeling and simulation of power generation with piezoelectric unimorph cantilever
SHAN Xiaobiao, YUAN Jiangbo, XIE Tao, CHEN Weishan
School of Mechatronics Engineering, Harbin Institute of Technology, Harbin 150001, China
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摘要：

为了解决电池为低功耗电子产品供能存在的诸多问题,对悬臂梁单晶压电振子的发电能力进行了研究.根据压电理论和热平衡原理,建立悬臂型单晶压电振子发电能力的数学模型,并对金属基板材料、基板厚度与压电片厚度对压电梁发电能力的影响进行了数值模拟与有限元仿真分析.研究结果表明,建立的数学模型与有限元仿真分析结果一致,压电片与基板材料存在一个最佳厚度比使得压电振子的输出电压达到最优,且最佳厚度比随着基板材料弹性模量的增大而增大,当基板材料分别为铝、磷青铜、多晶硅和钢时,单晶压电振子所对应的最佳厚度比分别为0.4、0.5、0.55和0.65,最后对以磷青铜为基板材料的压电振子进行了实验测试.实验结果表明,当压电片与基板厚度比为0.5时,压电振子输出功率最大,验证了理论分析的正确性.
Abstract:

The energygenerating capability of a piezoelectric unimorph cantilever was studied in order to supply the power of lowconsumption electric products. An analytical model of the piezoelectric unimorph cantilever was established by using the piezoelectric theory and heat balance principle. The effects of structural parameters as well as material properties of the piezoelectric cantilever on the energy generation were analyzed by numerical simulation and finite element analysis. The results obtained by the model were consistent with those from the finite element analysis. There are different optimal thickness ratios (ORT) of the thickness of piezoelectric layer to the thickness of metal layer for the piezoelectric unimorph cantilever to obtain the maximum electrical energy, and the ORT will increase with the increasing of the Young’s Modulus Ratio. When aluminum, phosphor bronze, silicon and steel plates are used for the substrate, the ORT is 0.4, 0.5, 0.55 and 0.65, respectively. The tests of the piezoelectric unimorph cantilever with the phosphor bronze were performed. The results show that the power of the piezoelectric unimorph cantilever reaches the maximum value when the ORT is 0.5. The experimental result demonstrates the validity of the theoretical analysis.
出版日期: 2012-03-20
:  TN3  
基金资助:

国家自然科学基金资助项目（50875057）；哈尔滨工业大学科研创新基金资助项目（HIT.NSRIF.2008.50）
通讯作者: 谢涛，男，教授，博导.     E-mail: xietao@hit.edu.cn
作者简介: 单小彪（1977—），江西南城人，讲师，从事压电控制和航空航天运动模拟装备技术研究
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引用本文:

单小彪, 袁江波, 谢涛, 陈维山. 悬臂梁单晶压电振子发电的理论建模与仿真[J]. J4, 2010, 44(3): 528-532.

CHAN Xiao-Biao, YUAN Jiang-Bei, XIE Chao, CHEN Wei-Shan. Modeling and simulation of power generation with piezoelectric unimorph cantilever. J4, 2010, 44(3): 528-532.

链接本文:

http://www.zjujournals.com/eng/CN/10.3785/j.issn.1008-973X.2010.03.021    或    http://www.zjujournals.com/eng/CN/Y2010/V44/I3/528

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