In this paper, we focus on the perturbation analysis of the largest C-eigenvalue of the piezoelectric-type tensor which has concrete physical meaning which determines the highest piezoelectric coupling constant. Three perturbation bounds are presented, theoretical analysis and numerical examples show that the third perturbation bound has high accuracy when the norm of the perturbation tensor is small.
翻译:本文聚焦于具有具体物理意义的压电型张量最大C-特征值的摄动分析,该特征值决定了最高压电耦合常数。给出了三个摄动界,理论分析与数值算例表明,当摄动张量的范数较小时,第三个摄动界具有较高的精度。