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A unified parametric design approach to structural shape optimization
Author(s) -
Zhang WeiHong,
Beckers Pierre,
Fleury Claude
Publication year - 1995
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620381309
Subject(s) - mathematical optimization , parametric statistics , geometric programming , sensitivity (control systems) , shape optimization , selection (genetic algorithm) , regular polygon , parametric design , computer science , optimal design , mathematics , cad , algorithm , engineering drawing , finite element method , engineering , artificial intelligence , geometry , machine learning , structural engineering , statistics , electronic engineering
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: