DESIGNING DEVICES FOR UNIFORM STEADY-STATE HEATING WITH THE METHOD OF EVOLUTIONARY STRUCTURAL OPTIMIZATION

The problem of topology optimization of a heat-conducting object for the criterion of uniformity of the steadystate temperature fi eld in an assigned domain was formulated for the fi rst time. To solve the problem, the authors proposed a method of evolutionary topology optimization on the basis of solution of a system of linear equations with a fi ctitious vector of the right-hand side (heat load). The method is distinguished by the technique of formation of a vector whose components are considered as weight factors. The power distribution function of the weight coeffi cients was proposed. Selection of the objective function (temperature at the node, average temperature in an assigned domain, and uniformity of the temperature fi eld) is controlled by the vector of the fi ctitious heat load. The method was tested on three problems: of minimization of the average temperature of a plate with a uniform heat generation, of minimization of the temperature diff erence in an assigned domain of a square plate, and of optimization of the structure of a mold for vulcanizing an industrial rubber article. The method has shown high effi ciency and versatility
   
Author:  A. O. Glebov, S. V. Karpushkin, E. N. Malygin
Keywords:  heat treatment, uniform heating, fi nite-element method, topology optimization
Page:  1393