Chinese Journal of Mechanical Engineering >

2018 , Vol. 31 >Issue 2: 38 - 38

DOI: https://doi.org/10.1186/s10033-018-0244-3

Innovative Design of Complex Products

Optimization of Uncertain Structures with Interval Parameters Considering Objective and Feasibility Robustness

  • Jin Cheng ,
  • Zhen-Yu Liu ,
  • Jian-Rong Tan ,
  • Yang-Yan Zhang ,
  • Ming-Yang Tang ,
  • Gui-Fang Duan
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  • 1. State Key Laboratory of Fluid Power & Mechatronic Systems, Zhejiang University, Hangzhou 310027, China;
    2. State Key Laboratory of CAD & CG, Zhejiang University, Hangzhou 310027, China;
    3. Key Laboratory of Micro-systems and Micro-structures Manufacturing of Ministry of Education, Harbin Institute of Technology, Harbin 150001, China

Received date: 2017-07-19

  Online published: 2019-07-23

Supported by

Supported by National Natural Science Foundation of China (Grant Nos. 51775491, 51475417, U1608256, 51405433)

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Abstract

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 mathematical 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.

Key words： Robust optimization; Uncertain structure; Interval violation vector; Feasibility robustness; Objective robustness; Nested genetic algorithm

Cite this article

Jin Cheng , Zhen-Yu Liu , Jian-Rong Tan , Yang-Yan Zhang , Ming-Yang Tang , Gui-Fang Duan . Optimization of Uncertain Structures with Interval Parameters Considering Objective and Feasibility Robustness[J]. Chinese Journal of Mechanical Engineering, 2018 , 31(2) : 38 -38 . DOI: 10.1186/s10033-018-0244-3

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