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# Multi-Disciplinary Optimization for Multi-Objective Uncertainty Design of Thin Walled Beams

Fangyi Li1, Guangyao Li2,3, Guangyong Sun2, Zhen Luo4, Zheng Zhang2

School of Automotive and Mechanical Engineering, Changsha University of Science and Technol-ogy, Changsha, Hunan Province 410114, China
State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, College of Me-chanical and Vehicle Engineering, Hunan University, Changsha 410082, China
School of Civil and Environmental Engineering, The University of New South Wales, Sydney,NSW 2052, Australia

Computers, Materials & Continua 2010, 19(1), 37-56. https://doi.org/10.3970/cmc.2010.019.037

## Abstract

The focus of this paper is concentrated on multi-disciplinary and multi-objective optimization for thin walled beam systems considering safety, normal mode, static loading-bearing and weight, in which the uncertainties of the parameters are described via intervals. The size and shape of the cross-section are treated as design parameters during optimization. Considering the lightweight and safety, the design problem is formulated with two individual objectives to measure structural weight and maximum energy absorption, respectively, constrained by the average force, normal mode and maximum stress. The optimization problem with uncertainties is further transformed into a deterministic optimization based on interval number programming. The approximation models, coupled with the design of experiment (DOE) technique, are employed to construct objective functions and constraints. The uncertain optimization problem characterized with these approximation models is performed and applied to a practical thin walled beam design problems.

## Keywords

APA Style
Li, F., Li, G., Sun, G., Luo, Z., Zhang, Z. (2010). Multi-disciplinary optimization for multi-objective uncertainty design of thin walled beams. Computers, Materials & Continua, 19(1), 37-56. https://doi.org/10.3970/cmc.2010.019.037
Vancouver Style
Li F, Li G, Sun G, Luo Z, Zhang Z. Multi-disciplinary optimization for multi-objective uncertainty design of thin walled beams. Comput Mater Contin. 2010;19(1):37-56 https://doi.org/10.3970/cmc.2010.019.037
IEEE Style
F. Li, G. Li, G. Sun, Z. Luo, and Z. Zhang "Multi-Disciplinary Optimization for Multi-Objective Uncertainty Design of Thin Walled Beams," Comput. Mater. Contin., vol. 19, no. 1, pp. 37-56. 2010. https://doi.org/10.3970/cmc.2010.019.037

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