文章摘要
王帅军,林书玉.径向极化压电陶瓷管的径向振动研究[J].声学技术,2011,(2):206~210
径向极化压电陶瓷管的径向振动研究
Research on the radial vibration of piezoelectric hollow cylinder with radial polarization
投稿时间:2010-04-10  修订日期:2010-08-14
DOI:
中文关键词: 径向极化  厚壁理论  径向振动
英文关键词: radial polarization  thick wall theory  radial vibration
基金项目:国家自然科学基金资助项目(10974127)
作者单位E-mail
王帅军 陕西师范大学应用声学研究所, 西安, 710062  
林书玉 陕西师范大学应用声学研究所, 西安, 710062 wangjunjun@stu.snnu.edu.cn 
摘要点击次数: 1113
全文下载次数: 2538
中文摘要:
      结合平面应变和三维压电弹性力学理论,对径向极化厚壁压电陶瓷细长管的径向振动进行了研究,得出位移函数、电势函数的精确解。利用振子静电电荷方程导出电位移及电场强度函数,解决了电压与电场强度非线性关系问题,进而辅助maple软件首次对厚壁管形振子等效电导纳进行研究,推出了精确的谐振反谐振频率方程。利用数值法得出了不同尺寸管形振子的谐振反谐振频率,并通过有限元分析,结果表明了本文理论的准确性与精确性,为压电陶瓷厚壁振子的理论研究及设计提供了依据。
英文摘要:
      Combined with piezoelectric plane strain and three-dimensional piezoelasticity theory,the vibration characteristics of a piezoelectric ceramic thick hollow cylinder with radial polarization has been studied,and closed-type solutions are obtained for the mechanical radial displacement and electric potential.The electric displacement and electric field strength are derived form the charge equation of electrostatics(Gauss),which solves the problems of nonlinear relationship between voltage and electric field strength.Based on maple software,the equivalent admittance of the thick hollow cylinder is studied for the first time,and corresponding exact resonance and anti-resonance frequency equations are also obtained.By means of numberical method,the resonance and anti-resonance frequencies of different size tubular oscillators are calculated.Accuracy and precision of this theory are verified by finite element analysis.All these provide the basis for theoretical research and design of the piezoelectric ceramic thick oscillators.
查看全文   查看/发表评论  下载PDF阅读器
关闭