Thermoelastic State of a Hollow Conducting Cylinder under the Action of Quasistationary Radio-Wave Pulses

Abstract

We deduce a system of basic equations, describe a computational procedure for the determination of the thermal stressed state of a long hollow cylinder whose surfaces are subjected to the action of radio-wave pulses in the quasistationary mode, and propose a method for the solution of the corresponding boundary-value problems of electrodynamics, heat conduction, and thermoelasticity by using polynomial approximations of the required functions with respect to the radial coordinate. We also present the results of the numerical analysis of variations of the Joule heat release, ponderomotive force, temperature, and stresses as functions of time under the action of radio-wave pulses whose frequencies lie either in the neighborhood of the resonance frequencies of the cylinder or outside this neighborhood.