Electroacoustic Modeling of Magnetostrictive Shells and Rings: Part 1. Mathematical Modeling.
Abstract
The basic canonical equations of a matrix of n linear coupled electroacoustic transducers are stated in matrix form; from them are derived by matrix inversion the electroacoustic parameters of performance (n-port voltages, currents, velocities, forces) with associated electrical and mechanical impedances. The problem of the mechanical vibration of a thin magnetostrictive shell is formulated in abstract operator form, then specialized to the case of a finite-length, axisymmetric, free-flooded magnetostrictive shell. Acoustic loading is accounted for by converting the differential equations of motion into a set of linear integral equations in unknown surface velocities, which are solved by inversion of a set of equivalent algebraic equations. The concepts of electromechanical modal mass and modal coupling are introduced in three alternative formulations. Details on the method of calculating the acoustic loading of a finite-length, axisymmetric, free-flooded magnetostrictive shell are then presented. In an appendix is a digest of the mathematical model of a free-flooded magnetostrictive shell of very short axial length, that is, a ring.
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 10, 1974
- Accession Number
- ADA002924
Entities
People
- B. J. King
- P. H. Rogers
- R. V. Baier
- S. Hanish
Organizations
- United States Naval Research Laboratory