TORSIONAL MAGNETOELASTIC WAVES IN A CIRCULAR CYLINDER,
Abstract
The effect of an electromagnetic field on the propagation of a pure torsional elastic wave in a conducting circular cylinder is investigated. The general field equations and boundary condi tions are linearized and the equations of motion for an infinitely long circular rod are obtained for the particular electromagnetic field config urations considered. The torsional motion of a solid rod in a steady axial magnetic field with and without a steady electric field is consid ered. In the first case it is found that a pure torsional mode will not propagate. In the second case a pure torsional mode will propagate and its frequency equation is obtained. The results for4 perfect conductor are compared to a real mate rial. The torsional motion of a hollow rod in a steady tangential magnetic field with and without a steady axial electric field is consid ered. Without the electric field the equations are completely uncoupled and the solution is the standard elastic one. The electric field intro duces coupling via the induced magnetic field. The equations of motion are obtained; however, the actual solutions are not obtained due to the mathematical complexity involved. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 01, 1963
- Accession Number
- AD0426947
Entities
People
- A.t. Ellis
- M.e. Fourney
Organizations
- California Institute of Technology