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具有初应力的1-3型压电复合材料的横向共振分析

张红艳 沈亚鹏 尹冠生

张红艳, 沈亚鹏, 尹冠生. 具有初应力的1-3型压电复合材料的横向共振分析[J]. 应用数学和力学, 2007, 28(7): 780-788.
引用本文: 张红艳, 沈亚鹏, 尹冠生. 具有初应力的1-3型压电复合材料的横向共振分析[J]. 应用数学和力学, 2007, 28(7): 780-788.
ZHANG Hong-yan, SHEN Ya-peng, YIN Guan-sheng. Lateral Resonances in Initial Stressed 1-3 Piezocomposites[J]. Applied Mathematics and Mechanics, 2007, 28(7): 780-788.
Citation: ZHANG Hong-yan, SHEN Ya-peng, YIN Guan-sheng. Lateral Resonances in Initial Stressed 1-3 Piezocomposites[J]. Applied Mathematics and Mechanics, 2007, 28(7): 780-788.

具有初应力的1-3型压电复合材料的横向共振分析

基金项目: 国家自然科学基金资助项目(90205030;10472088)
详细信息
    作者简介:

    张红艳(1980- ),女,河北邢台人,讲师,博士(联系人:Tel:+86-29-82334403;E-mail:hong_yan_zhang@126.com).

  • 中图分类号: O346

Lateral Resonances in Initial Stressed 1-3 Piezocomposites

  • 摘要: 1-3型压电复合材料在极化处理过程中会出现极化残余应力,基于线性压电理论,采用解析方法研究了极化残余应力对1-3型压电复合材料的横向共振模态的影响.首先建立含有初始应力的平面波波动方程,基于Bloch波函数理论构建了位移和电势函数,从而最终得到方程的解.数值结果表明初始残余应力的出现降低了复合材料的横向振动频率,而材料的压电性则使得横向振动频率提高.初始剪应力对对横向振动的频率影响较小,可以忽略.第一阶及第二阶振动频率将随着初始应力的大小呈线性变化.得出的结论对超声换能器的制作和研究将提供有意义的指导作用.
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出版历程
  • 收稿日期:  2006-06-13
  • 修回日期:  2007-05-17
  • 刊出日期:  2007-07-15

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