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工程设计学报
Chinese Journal of Engineering Design  2014, Vol. 21 Issue (1): 14-17    DOI: 10.3785/j.issn. 1006-754X.2014.01.003
    
Structural reliability-based optimization design with confidence level
HE Xiang-dong1,2，LIU Shu-tian1，ZHANG Yi-min3
1.State Key Laboratory of Structural Analysis for Industrial Equipment， Dalian University of Technology， Dalian 116023， China；2.College of Mechanical Engineering and Automation， Dalian Polytechnic University， Dalian 116034， China;3.College of Mechanical Engineering and Automation， Northeastern University， Shenyang 110004， China
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Abstract  Based on Bayesian statistics theory and structural reliability-based optimization design，the paper presents a new reliability-based optimization design approach with confidence level that solves the form of finite test samples. The structural reliability was considered as a random variable，according to prior information and sample information，and the method adopted a Bayesian inference technique to get probability distribution of reliability，which gave point estimation and confidence level of Bayesian reliability. Structural reliability-based optimization model with confidence level was established and the structural reliability-based optimization approach with confidence level was proposed. The new research approach and new direction for structure reliability-based design in small-sample situation are provided. The numerical results illustrate the method presented is an efficient and accurate structural reliability-based optimization approach with confidence level．

Key words： Bayesian statistics      finite samples      reliability-based optimization design      confidence level     
Published: 28 February 2014
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HE Xiang-Dong
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ZHANG Yi-Min
Cite this article:

HE Xiang-dong，LIU Shu-tian，ZHANG Yi-min. Structural reliability-based optimization design with confidence level. Chinese Journal of Engineering Design, 2014, 21(1): 14-17.

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https://www.zjujournals.com/gcsjxb/10.3785/j.issn. 1006-754X.2014.01.003     OR     https://www.zjujournals.com/gcsjxb/Y2014/V21/I1/14


考虑可靠度可信区间的结构可靠性优化设计

在贝叶斯统计理论和结构可靠性优化设计方法的基础上，研究了结构在小样本情况下考虑可靠度可信区间的结构可靠性优化设计问题.将结构可靠度作为随机变量，根据先验信息和样本信息，采用贝叶斯推断技术获得结构可靠度的概率分布，给出了可靠度的点估计及区间估计.建立了考虑可靠度可信区间的结构可靠性优化设计模型，提出了考虑可靠度可信区间的结构可靠性优化设计方法.所提出的方法为解决小样本情况下的结构可靠性优化设计问题提供了新的解决方案.数值算例验证了所提出的结构可靠性优化设计方法的有效性和正确性.

关键词： 贝叶斯统计,  小样本,  可靠性优化设计,  可信区间 
[1] HE Xiang-dong, ZHANG Yi-min,WEN Bang-chun. Research on reliability-based robust design of mechanical system with correlated failure modes[J]. Chinese Journal of Engineering Design, 2009, 16(2): 81-83.