title: On the eigenvalue problem for free vibrations of a piezoelectric/piezomagnetic body.
abstract: We present a systematic analysis of the eigenvalue problem associated with free, small-amplitude vibrations in an elastic body possessing piezoelectric, piezomagnetic, and magnetoelectric couplings. An abstract formulation is introduced. The operators in the abstract formulation are shown to be self-adjoint, from which a series of fundamental properties of resonant frequencies and vibration modes are proved concisely. A variational formulation and a perturbation analysis of the eigenvalue problem are also given, based on the abstract formulation.
authors.forename: Zengtao
authors.initials: Z
authors.lastname: Yang
authors.forename: Shaohua
authors.initials: S
authors.lastname: Guo
authors.forename: Jiashi
authors.initials: J
authors.lastname: Yang
authors.forename: Yuantai
authors.initials: Y
authors.lastname: Hu