Free vibrations of an electroelastic body under biasing fields.
We present a systematic analysis of the eigen-value problem associated with free, small-amplitude vibrations superposed on finite biasing fields in an electroelastic body. 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 modes are proved concisely. A variational formulation and a perturbation analysis of the eigenvalue problem also are given based on the abstract formulation.
Yang
Jiashi
J
Department of Engineering Mechanics, University of Nebraska, Lincoln, NE 68588, USA. jyang1@unl.edu