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

作     者：Jin Cheng Zhen-Yu Liu Jian-Rong Tan Yang-Yan Zhang Ming-Yang Tang Gui-Fang Duan 

作者机构：State Key Laboratory of Fluid Power&Mechatronic SystemsZhejiang University State Key Laboratory of CAD&CGZhejiang University Key Laboratory of Micro-systems and Micro-structures Manufacturing of Ministry of EducationHarbin Institute of Technology 

出 版 物：《Chinese Journal of Mechanical Engineering》 (中国机械工程学报（英文版）)

年 卷 期：2018年第31卷第2期

页      面：124-136页

核心收录：

学科分类：0817[工学-化学工程与技术] 08[工学] 0807[工学-动力工程及工程热物理] 0802[工学-机械工程] 0811[工学-控制科学与工程] 0801[工学-力学（可授工学、理学学位）] 080102[工学-固体力学] 

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

主　　题：Robust optimization Uncertain structure Interval violation vector Feasibility robustness Objective robustness Nested genetic algorithm 

摘      要：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.