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An efficient approach for the design optimization of dual uncertain structures involving fuzzy random variables

机译：一种有效的设计优化，涉及模糊随机变量的双重不确定结构

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摘要

In engineering practice, the parameters of uncertain structures are often quantified as random variables, but their distribution parameters are appropriately modeled as fuzzy variables rather than deterministic values in some special engineering cases. To address such dual uncertain cases, an efficient approach is proposed for the possibility-based robust design optimization (PBRDO) of dual uncertain structures with fuzzy random variables (FRVs), in which the so-called dual robust design and the failure possibility are taken into account simultaneously. In the proposed approach, FRVs are firstly used to describe dual uncertainties and a design optimization model with FRVs is constructed. The structural responses involving FRVs are calculated and expressed in the forms of fuzzy means and fuzzy variances. To perform dual robust design, the weighted sum of the expectations and entropies of the fuzzy means and fuzzy variances of interested response is taken as optimization objective. The constraints involving dual uncertainties are established in the possibility context based on the concept of failure possibility. The established PBRDO model is a complicated nested problem. Secondly, the random moment-interval perturbation center difference method (RM-IPCDM) is derived to calculate the optimization objective efficiently. Next, the target performance approach (TPA) is employed to simplify the possibilistic constraints, and the obtained equivalent constraints can also be efficiently solved by RM-IPCDM. The nested PBRDO model with FRVs is finally simplified into a single-loop one with the aid of RM-IPCDM and TPA. Three dual uncertain numerical examples involving FRVs are given to demonstrate the feasibility of the proposed approach. (C) 2020 Elsevier B.V. All rights reserved.
机译：在工程实践中，不确定结构的参数通常被量化为随机变量，但它们的分布参数被适当地建模为模糊变量，而不是在某些特殊工程案例中的确定性值。为了解决这种双重不确定的情况，提出了一种有效的方法，以实现基于可能的鲁棒设计优化（PBRDO）的双重不确定结构，具有模糊的随机变量（FRV），其中所谓的双重强大设计和故障可能性同时考虑。在所提出的方法中，FRV首先用于描述双重不确定性，构建具有FRV的双重不确定性和设计优化模型。涉及FRV的结构响应是以模糊装置和模糊差异的形式表达的。为了执行双重强大设计，对感兴趣的响应的模糊装置和模糊差异的期望和熵的加权总和被视为优化目标。涉及双重不确定性的约束是基于故障可能性的概念的可能性上下文建立。已建立的PBRDO模型是一个复杂的嵌套问题。其次，导出随机时刻间隔扰动中心差异方法（RM-IPCDM）以有效地计算优化目标。接下来，采用目标性能方法（TPA）来简化可能的约束，并且所获得的等效约束也可以通过RM-IPCDM有效地解决。借助RM-IPCDM和TPA，最终将具有FRV的嵌套的PBRDO模型简化为单循环。给出了涉及FRV的三种双不确定数值例子，以证明所提出的方法的可行性。 （c）2020 Elsevier B.v.保留所有权利。

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  • 来源
    《Computer Methods in Applied Mechanics and Engineering》 |2020年第1期|113331.1-113331.25|共25页
  • 作者

    Lu Hui; Yang Kun; Huang Xiaoting; Yin Hui; Shangguan Wen-Bin; Yu Dejie;

  • 作者单位

    South China Univ Technol Sch Mech & Automot Engn Guangzhou 510641 Peoples R China;

    South China Univ Technol Sch Mech & Automot Engn Guangzhou 510641 Peoples R China;

    South China Univ Technol Guangzhou Coll Sch Automobile & Traff Engn Guangzhou 510800 Peoples R China;

    South China Univ Technol Sch Mech & Automot Engn Guangzhou 510641 Peoples R China|Hunan Univ State Key Lab Adv Design & Mfg Vehicle Body Changsha 410082 Peoples R China;

    South China Univ Technol Sch Mech & Automot Engn Guangzhou 510641 Peoples R China;

    Hunan Univ State Key Lab Adv Design & Mfg Vehicle Body Changsha 410082 Peoples R China;

  • 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

    Dual uncertainties; Dual robust design; Failure possibility; Fuzzy random variable; Design optimization;

    机译：双重不确定性;双重强大设计;失败可能性;模糊的随机变量;设计优化;

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