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A new hybrid uncertainty optimization method for structures using orthogonal series expansion^

机译:基于正交级数展开的结构混合不确定性优化新方法^

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摘要

This paper proposes a new hybrid uncertain design optimization method for structures which contain both random and interval variables simultaneously. The optimization model is formulated with the feasible robustness and the reliability of the worst scenario. The hybrid uncertainty is quantified by using the orthogonal series expansion method that integrates the Polynomial Chaos (PC) expansion method and the Chebyshev interval method within a uniform framework. The design sensitivity of objective and constraints will be developed to greatly facilitate the use of gradient-based optimization algorithms. The numerical results show that this method will be more possible to seek the feasible solution.
机译:针对同时包含随机变量和区间变量的结构,提出了一种新的混合不确定设计优化方法。优化模型的制定具有可行的鲁棒性和最坏情况的可靠性。混合不确定性是通过使用正交序列展开方法来量化的,该方法将多项式混沌(PC)展开方法和Chebyshev区间方法集成在一个统一的框架中。目标和约束的设计敏感性将得到发展,以极大地促进基于梯度的优化算法的使用。数值结果表明,该方法将更可行。

著录项

  • 来源
    《Applied Mathematical Modelling》 |2017年第5期|474-490|共17页
  • 作者单位

    School of Electrical Mechanical and Mechatronic Systems, The University of Technology, Sydney, NSW 2007, Australia,State Key Laboratory of Digital Manufacturing Equipment and Technology, School of Mechanical Science and Engineering Huazhong University of Science and Technology, Wuhan, Hubei 430074, China;

    School of Electrical Mechanical and Mechatronic Systems, The University of Technology, Sydney, NSW 2007, Australia;

    School of Electrical Mechanical and Mechatronic Systems, The University of Technology, Sydney, NSW 2007, Australia,State Key Laboratory of Digital Manufacturing Equipment and Technology, School of Mechanical Science and Engineering Huazhong University of Science and Technology, Wuhan, Hubei 430074, China;

    School of Electrical Mechanical and Mechatronic Systems, The University of Technology, Sydney, NSW 2007, Australia;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Hybrid uncertain optimization; Orthogonal series expansion; Polynomial Chaos expansion; Chebyshev interval method;

    机译:混合不确定性优化;正交级数展开;多项式混沌展开;切比雪夫间隔法;

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