THE INVERSE PROBLEMS OF NONLINEAR HEAT-CO NDUCTION IN THERMAL-STRESS MONITORING

A new method to solve the problem of transient a heat conduction in cy lindrical bodies is presented. This method allows transient temperatur e and thermal stress distribution to be determined from interior tempe rature histories. The thermal stresses at the inner surface can be est imated by a temperature sensor placed only at the outer surface. The p roblem of inverse heat conduction was solved using the least squares m ethod with the following stabilizing techniques: smoothing of the temp erature-time curves, regularization of the inverse algorithm, future t ime steps. Two examples are shown to demonstrate the influence of the number of temperature sensors on the accuracy of the calculation In a third example, the developed method is used to calculate the temperatu re coefficient and thermal stresses at the inner surface of a thick-wa lled cylinder using temperature histories from three locations on the outer surface.