Thermostressed state of bimetallic hollow ball subjected to electromagnetic action under the mode of impulse modulating signal

Abstract

The initial-boundary value problem of thermomechanics of bimetallic hollow ball subjected to the
actions of pulse electromagnetic field has been formulated. The azimuthal component of the vector
of magnetic field, temperature and radial component of the displacement vector have been
selected as key functions. A method of solving the corresponding contact problems of electrodynamics,
heat conductivity and thermoelasticity, using a quadratic approximation of distributions
of the key functions by the radial coordinate in each composite layer has been proposed. Being
based on this methodology, the initial boundary value problems for the key functions are reduced
to the Cauchy problem for their integral (total for a package of layers) characteristics. The general
solutions for these problems have been obtained for homogeneous nonstationary electromagnetic
action, on the base of which the solutions for the problem of electromagnetic action mode
with impulse modulating signal are written down. Numerical analysis of the thermostressed state
and balls carrying capacity depending on the parameters of such action has been carried out.