Physically Nonlinear Behavior of Piezoelectric Actuators Subject to High Electric Fields
Abstract
The paper is concerned with a physically nonlinear piezoelectric material behavior and its applications to practical problems. A survey of work dealing with the phenomenon is included in the introduction. Subsequently, the emphasis is on the analysis of vibrations of piezoelectric rods where a rather unique situation is observed, i.e. the response of a nonlinear system can be modeled by linear equations of motion. The solutions are obtained analytically by the Lagrange equation and by the Generalized Galerkin procedure. Applying either of these methods, the study of forced vibrations of a physically nonlinear piezoelectric rod subject to a periodic electric field in the axial direction is reduced to the analysis of a system of nonhomogeneous Mathieu-Hill equations. In the particular case where the interaction between axial and radial vibrations can be neglected, the closed-form solution for the former vibrations is obtained in the paper and it is shown that both the Lagrange equation and the Generalized Galerkin procedure yield identical results. Numerical examples presented in the paper elucidate the significance of physically nonlinear effects that should not be arbitrary disregarded in design, without a proper evidence.
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 08, 2005
- Accession Number
- ADA430182
Entities
People
- Victor Birman