ALGORITHM-BASED ON CONVEX-PROGRAMMING METHOD FOR OPTIMUM HEAT INPUT CONTROL IN ARC-WELDING

A simple mathematical method for the estimation of the optimum heat in puts in are welding has been developed in the present work, the optimi zation problem is to make the temperature field coincide with the requ irement during welding. In the expression of the problem, an analytica l solution of heat flow equation is applied for the calculation of the temperature held in welding, and the objective function is defined as the difference between calculated and required temperatures. The prob lem is expressed as the quadratic function of heat inputs and it resul ts in the convex programming problem, and it is clarified that the glo bal optimum is certainly obtained by using Kuhn-Tucker conditions in t he nonlinear programming method. Furthermore, the propriety of the opt imizing algorithm is evaluated experimentally by a bead-on-plate weldi ng test, and it is concluded that the algorithm proposed in the presen t work is reliable and useful enough to determine the optimum heat inp ut pattern in are welding process.