上海交通大学学报(英文版) ›› 2015, Vol. 20 ›› Issue (3): 338-343.doi: 10.1007/s12204-015-1633-8

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Uncertainty Quantification for Structural Optimal Design Based on Evidence Theory

HU Sheng-yong* (胡盛勇), LUO Jun (罗军)   

  1. (Institute of Systems Engineering, China Academy of Engineering Physics, Mianyang 621900, Sichuan, China)
  • 发布日期:2015-06-11
  • 通讯作者: HU Sheng-yong (胡盛勇) E-mail: hsy26@163.com

Uncertainty Quantification for Structural Optimal Design Based on Evidence Theory

HU Sheng-yong* (胡盛勇), LUO Jun (罗军)   

  1. (Institute of Systems Engineering, China Academy of Engineering Physics, Mianyang 621900, Sichuan, China)
  • Published:2015-06-11
  • Contact: HU Sheng-yong (胡盛勇) E-mail: hsy26@163.com

摘要: Uncertainty design can take account of aleatory and epistemic uncertainty in optimal processes. Aleatory uncertainty and epistemic uncertainty can be expressed as evidence theory uniformly, and evidence theory is used to describe the uncertainty. Transferring and response with evidence theory for structural optimal design are introduced. The principle of response evaluation is also set up. Finally, the cantilever beam in a test system is optimized in the introduced optimization process, and the results are estimated by the evaluation principle. The optimal process is validated after the optimization of beam.

关键词: aleatory uncertainty, epistemic uncertainty, optimal design, evidence theory

Abstract: Uncertainty design can take account of aleatory and epistemic uncertainty in optimal processes. Aleatory uncertainty and epistemic uncertainty can be expressed as evidence theory uniformly, and evidence theory is used to describe the uncertainty. Transferring and response with evidence theory for structural optimal design are introduced. The principle of response evaluation is also set up. Finally, the cantilever beam in a test system is optimized in the introduced optimization process, and the results are estimated by the evaluation principle. The optimal process is validated after the optimization of beam.

Key words: aleatory uncertainty, epistemic uncertainty, optimal design, evidence theory

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