This study introduces a rule-based geometric approach to the form optimization of axisymmetric components subjected to transient thermoelastic loading. A finite element algorithm is used for structural analysis and the computation of objective function and design constraints values. To satisfy a prescribed design objective, programmed geometric rules are used to iteratively modify the shape. The posed optimization problem is the minimization of the component’s weight while maintaining the stresses in the structure within allowable limits. A conventional optimization, the penalty function technique, coupled with the finite element algorithm is carried out for comparison. The effects of different loading conditions on component shape and performance are also investigated. A weight reduction of up to 57 percent is obtained for the casting shape of the disk. The results show the superiority of the rule-based approach to mathematical programming techniques. These results are obtained at lower computational costs and with accurate analysis.

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