Exact equivalent networks for piezomagnetic plate transducers and resonators

Piezomagnetism is a linear effect relating mechanical and magnetic variables, and is represented by an axial, third-rank, time-antisymmetric tensor. Circuit descriptions over the years have aptly represented its axial nature by means of gyrators, but these have been confined to single-mode representations. We consider the one-dimensional case of simple thickness modes of piezomagnetic plates. Exact multi-mode networks are given for both thickness and lateral excitation. These representations cover biased magnetostrictive plates and stacks as well. When symmetry is present, e.g., resonators with traction-free surfaces, the networks simplify considerably