Solution of the connected problem of thermomechanics for a long hollow electroconductive cylinder under the action of impulsed electromagnetic field with amplitude modulation

Abstract

Using the approximation of the distributions of the axial component of the magnetic field stress vector, of temperature and radial displacements in the radial variable by cubic polynomials, we obtain a general solution of the connected dynamic problem of thermomechanics for an electric conductive hollow cylinder under the action of impulsed electromagnetic fields with amplitude modulation of characteristic types in modes with the impulsed modular signal, the damped sinusoid and the single electromagnetic impulse equal to the modular signal.

Thermomechanical behavior of an electrically conductive cylindrical implant under the action of external unstable electromagnetic fields

“…Time of action of unstable EMF is t i = t incr +t decr . Unsteady EMF, which is mathematically described by expression (24), has the character of impulsed EMF with amplitude modulation [8,9,[12][13][14][15][16][17]. Substituting the expression (24) of the function H + z (t) in the relation ( 3)-( 23), we obtain the expressions of Joule heat Q, radial component F r of the vector of ponderomotive force F and temperature T , radial displacements u r and corresponding stresses σ jj (j = r, ϕ, z) under the action of unstable EMF.…”