Abstract
The difficulty encountered in optimizing the temperature regime for the fabrication of shells formed from polymer materials is governed primarily by the need to solve the edge problem of nonstationary heat conduction. The model of an object analyzed by Egorov etal. [i] contains only a differential equation of heat conduction for a shell, and the effect of the mandrel on which the shell is formed is taken into account by adjusting the coefficient of heat transfer on the internal surface of the cylindrical shell from the results of a model experiment. For massive mandrels formed from materials with a low thermal conductivity, this approach is unacceptable due to large computational errors on the other hand, use of a twolayer computational scheme markedly complicates the analytical solution of the edge problem of the nonstationary heat conduction of the mandrel-shell system, and expenditures of computer time for its numerical solution increase many times over~ In our study, we present the results of the approximation of edgeproblems of the nonstationary heat conduction of twolayer plane cylindrical and spherical walls by a system of ordinary differential equations. The use of an approximating model makes it possible to simplify considerably the calculation of temperature stresses and conversion fields.
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