1990 Volume 8 Issue 1 Pages 48-53
An algorithm for optimal heat input control in arc welding has been discussed in this paper.
An optimization problem of the temperature field during welding has been proposed and tackled in order to estimate an optimal sequence of heat inputs. In the expression of the problem, the analytical solution of heat flow equation is used for the estimation of temperature field, and the objective function is defined as the difference between calculated and required temperatures.
The following two typical optimization problems have been investigated. The objective in the first problem is to make the temperatures at some given times and points coincide with the required temperatures, and the objective in the second problem is to make the maximum temperatures at given points coincide with the required ones.
As the result of this work, it is made clear that the convex programming is a powerful means of solving the first problem and the steepest descent method is useful for the second problem.
