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A unified parametric design approach to structural shape optimization

1995; Wiley; Volume: 38; Issue: 13 Linguagem: Inglês

10.1002/nme.1620381309

1097-0207

Weihong Zhang, Pierre Beckers, Claude Fleury,

Manufacturing Process and Optimization

Abstract This paper presents a general parametric design approach for 2‐D shape optimization problems. This approach has been achieved by integrating practical design methodologies into numerical procedures. It is characterized by three features: (i) automatic selection of a minimum number of shape design variables based on the CAD geometric model; (ii) integration of sequential convex programming algorithms to solve equality constrained optimization problems; (iii) efficient sensitivity analysis by means of the improved semi‐analytical method. It is shown that shape design variables can be either manually or systematically identified with the help of equality constraints describing the relationship between geometric entities. Numerical solutions are performed to demonstrate the applicability of the proposed approach. A discussion of the results is also given: