Robust Structural Optimization Using Design Axioms in a Discrete Design Space

Abstract

The design axioms provide a general framework for design methodologies. The axiomatic design framework has been successfully applied to various design tasks. However, the axiomatic design is rarely utilized in the detailed design process of structures when the optimization technology is carried out. The relationship between the axiomatic design and optimization is investigated and the logical decomposition method is developed for a systematic structural optimization. The entire optimization process is modified to satisfy the independence axiom. In the decomposition process, design variables are grouped according to sensitivities derived from the analysis of variance(ANOVA). After an optimization is conducted for the decomposed problems, the robust design using the Taguchi's concept is applied for the postprocess of the mathematical optimization. The developed method is verified by examples such as the twenty-five member transmission tower and the two-bay-six-story frame. © by the American Institute of Aeronautics, Inc.