Perturbation analysis of frequency shifts in an electroelastic body under biasing fields.
We analyze the eigenvalue problem associated with small-amplitude vibrations superposed on finite-biasing fields in an electroelastic body. The widely used first-order perturbation integral by Tiersten is generalized in two different ways: a second-order perturbation analysis is given when the biasing fields are not infinitesimal and their second order effects need to be considered; a first-order perturbation analysis is given when an eigenvalue is associated with more than one eigenvector (a degenerate eigenvalue).
Yang
Jiashi
J
Key Laboratory for Advanced Materials and Rheological Properties of Ministry of Education, Xiangtan University, Xiangtan, Hunan 411105, China. jyang1@unl.edu
Kosinski
John A
JA
D002516:Ceramics / Q000737:chemistry* / Q000528:radiation effects*; D003198:Computer Simulation; D017076:Computer-Aided Design; D017097:Electric Impedance; D004563:Electrochemistry / Q000295:instrumentation* / Q000379:methods*; D004574:Electromagnetic Fields; D008956:Models, Chemical