A transformation technique for efficient shape optimization in CAD/CAE environment

In the course of shape optimization in an integrated CAD/FEM environment, finding of appropriate bounds of the shape parameters, has a principal importance: on one hand, non-recoverable geometries and structural model are to avoid, on the other hand, valid combination of shape parameters must not be excluded because they may include the optimum. To resolve this contradiction, a transformation is introduced to project the variable dimensions of the geometry onto the n dimensional unit cube, so these normed design variables are used in the course of the optimization. In simpler cases this transformation can be derived from the limit relations of the geometry construction as it is shown on the optimization example of a handhold used in public transport