J. Ke et A. Elbella, RULE-BASED SHAPE OPTIMIZATION OF DISKS SUBJECTED TO TRANSIENT THERMOELASTIC LOADING, Journal of mechnical design, 116(2), 1994, pp. 419-422
This study introduces a rule-based geometric approach to the form opti
mization of axisymmetric components subjected to transient thermoelast
ic loading. A finite element algorithm is used for structural analysis
and the computation of objective function and design constraints valu
es. To satisfy a prescribed design objective, programmed geometric rul
es are used to iteratively modify the shape. The posed optimization pr
oblem 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 differ
ent loading conditions on component shape and performance are also inv
estigated. A weight reduction of up to 57 percent is obtained for the
casting shape of the disk. The results show the superiority of the rul
e-based approach to mathematical programming techniques. These results
are obtained at lower computational costs and with accurate analysis.