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Optimization of Uncertain Structures with Interval Parameters Considering Objective and feasibility robustness

Chinese Journal of Mechanical Engineering 2018年第2期31卷 124-136页

作者： Jin Cheng Zhen-Yu Liu Jian-Rong Tan Yang-Yan Zhang Ming-Yang Tang Gui-Fang Duan State Key Laboratory of Fluid Power&Mechatronic Systems Zhejiang University State Key Laboratory of CAD&CG Zhejiang University Key Laboratory of Micro-systems and Micro-structures Manufacturing of Ministry of Education Harbin Institute of Technology

For the purpose of improving the mechanical performance indices of uncertain structures with interval parameters and ensure their robustness when fluctuating under interval parameters, a constrained interval robust optimization model is constructed with both the center and halfwidth of the most important mechanical performance index described as objective functions and the other requirements on the mechanical performance indices described as constraint functions. To locate the optimal solution of objective and feasibility robustness, a new concept of interval violation vector and its calculation formulae corresponding to different constraint functions are proposed. The math?ematical formulae for calculating the feasibility and objective robustness indices and the robustness?based preferential guidelines are proposed for directly ranking various design vectors, which is realized by an algorithm integrating Kriging and nested genetic algorithm. The validity of the proposed method and its superiority to present interval optimization approaches are demonstrated by a numerical example. The robust optimization of the upper beam in a high?speed press with interval material properties demonstrated the applicability and effectiveness of the proposed method in engineering.

关键词： Robust optimization Uncertain structure Interval violation vector feasibility robustness Objective robustness Nested genetic algorithm

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