Mathematical modeling of electrothermal processes using the example of high-frequency welding of a batch of symmetric polymer workpieces

Abstract

Abstract The article substantiates the necessity and practical relevance of the mathematical modeling of processes of the high-frequency electrothermy of polymers. A mathematical model of high-frequency welding of polymeric and composite products has been developed. A mathematical model of high-frequency welding of a batch of polymeric and composite products has been developed, which is a system of differential equations of unsteady-state heat conduction with internal heat sources, which allows studying the heat distribution in the entire volume of the processed product of any geometric shape. The paper presents the testing results for the developed mathematical model at high-frequency welding of a batch of polymer parts. This made it possible to identify the effect of a non-insulated electrode heating up during sequential processing of a batch of parts on the position of the coordinate of the maximum heating point and to develop a technique for its search and maintenance of the required position. This, in turn, is necessary for organizing control of the high-frequency processing operation.