THE GENERALISATION OF THE OPTIMUM HEATING TECHNOLOGIES OF COLD STEEL INGOTS. THE DETERMINATION OF THE RECCURENCY COEFFICIENTS OF THE GRAPHICAL APPROXIMATION CURVES
The elaboration of a new standard for steel ingots heating in furnaces with mobile fireplace, requires first of all the designing of optimal technologies, and then the generalization of these technologies a number of steel mark groups and respectively of typo-dimensions of ingots. This work determines a mathematical non-linear model whose graphical representation gives the best approximation for the heating curves determined by a numeric string with the help of the Spline cubic. The approximation degree between the mathematical non- linear model and the heating curves is being determined with the help of some recurrence coefficients. If the error between the extreme values of these coefficients is less then 5%, then the steel mark and respectively the analyzed typo-dimension of the ingot, makes part from a standard group for which the heating technology is generalized. The methodology of a new standard creation, from which it is presented just one group, is presented in two inter-conditioning works.