径向非均匀压电介质中圆孔对SH波的散射

发布时间：2018-02-13 06:11

本文关键词： 径向非均匀压电介质反平面动力特征 SH波动应力集中系数电场强度集中系数　出处：《爆炸与冲击》2017年03期 　论文类型：期刊论文

【摘要】：利用复变函数理论对SH波作用下含圆孔径向非均匀压电介质的反平面动力特性进行了研究。压电介质的密度沿径向按幂函数形式变化,但压电参数、弹性参数、介电参数均为常数。利用变量替换法将非均匀压电介质的变系数波动方程组转化为标准的Helmholtz方程组,得到了满足边界条件的波函数解析表达式。通过数值算例分析了入射角度、入射波频率、幂次等对应力集中系数和电场强度集中系数的影响,并与已有文献进行比较。结果表明,某些参数组合下,动应力集中系数与电场强度集中系数均随幂次增大而增大。
[Abstract]:The anti-plane dynamic characteristics of radial nonuniform piezoelectric medium with circular holes under SH wave are studied by using complex function theory. The density of piezoelectric medium varies along radial power function, but the piezoelectric parameters and elastic parameters are obtained. The dielectric parameters are constant. The variable coefficient wave equations of nonuniform piezoelectric media are transformed into standard Helmholtz equations by variable substitution method, and the analytical expression of wave function satisfying the boundary conditions is obtained. The incident angle is analyzed by numerical examples. The influence of incident wave frequency and idempotent on the stress concentration coefficient and electric field intensity concentration coefficient is compared with the previous literatures. The results show that, under some parameters, Both the dynamic stress concentration coefficient and the electric field intensity concentration coefficient increase with the increase of power.
【作者单位】：哈尔滨工程大学航天与建筑工程学院;
【基金】：黑龙江自然科学基金项目(A201404)
【分类号】：O343.4

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