双相压电介质中界面附近圆孔的动态性能分析

李 冬;宋天舒

振动与冲击 ›› 2011, Vol. 30 ›› Issue (3) : 91-95.

PDF(1596 KB)
PDF(1596 KB)
振动与冲击 ›› 2011, Vol. 30 ›› Issue (3) : 91-95.
论文

双相压电介质中界面附近圆孔的动态性能分析

  • 李 冬1; 宋天舒1
作者信息 +

Dynamic Performance Analysis of a Circular Cavity Near theInterface in Piezoelectric Bimaterials

  • LI Dong1;SONG Tian-shu1
Author information +
文章历史 +

摘要

采用Green函数法研究界面附近含圆形孔洞的双相压电介质对时间谐和SH波的散射问题。首先利用复变函数的方法构造出适合于本文问题的位移Green函数和电场Green函数。然后利用契合思想,根据界面上的连续性条件建立起求解问题的第一类Fredholm型积分方程,得到了圆孔孔边周向剪应力的动应力集中系数和周向电场强度集中系数的解析表达式。最后作为算例,给出了界面附近圆孔边界的两组集中系数随入射波频率、材料的几何参数和物理参数变化的计算结果图,部分计算结果与已有文献进行了比较。

Abstract

Based on the method of Green’s function, the problem of SH-wave scattering by a circular cavity near the interface in two well bonded piezoelectric materials was investigated in present paper. Firstly, coupled Green’s functions on out-plane elastic displacement and in-plane electric potential were constructed by using complex variable function, which were suitable for the problem of two semi-infinite piezoelectric materials and one of which had a circular cavity near the surface. Secondly, based on the method of conjunction and the continuity condition of the interface, the two semi-infinite media were bonded, while a series of Fredholm integral equations of first kind for the unknown stresses and electric field could be established so as to obtain the dynamic stress concentration factor and the electric field intensity concentration factor expressions around the circular cavity edge. Finally, some calculating examples were plotted to show the influence of the frequencies of incident wave, geometric parameters and piezoelectric characteristic parameters on dynamic stress concentration factor and electric field intensity concentration factor.

关键词

动应力集中系数 / 电场强度集中系数 / 双相压电介质 / 界面附近圆孔 / Green函数

Key words

dynamic stress concentration factor / electric field intensity concentration factor / piezoelectric bimaterials / circular cavity near the interface / Green’s function

引用本文

导出引用
李 冬;宋天舒. 双相压电介质中界面附近圆孔的动态性能分析[J]. 振动与冲击, 2011, 30(3): 91-95
LI Dong;SONG Tian-shu. Dynamic Performance Analysis of a Circular Cavity Near theInterface in Piezoelectric Bimaterials[J]. Journal of Vibration and Shock, 2011, 30(3): 91-95

PDF(1596 KB)

Accesses

Citation

Detail

段落导航
相关文章

/