## 留言板

 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.

• 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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