| 李刚,MeyerJ.基于优化算法的串联体系可靠度分析[J].计算力学学报,2004,21(6):665~670 |
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| 基于优化算法的串联体系可靠度分析 |
| Reliability evaluation of series systems with optimization technique |
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| DOI：10.7511/jslx20046119 |
| 中文关键词: 体系可靠度 一次二阶矩法 优化算法 Monte—Carlo法 重要性抽样法 |
| 英文关键词:system reliability,First Order Second Moment,optimization algorithms,Monte Carlo Method,(importance sampling) |
| 基金项目:国家自然科学基金 ( 5 0 0 0 80 0 3 )，863计划 ( 2 0 0 1AA60 2 0 15 )，美国 NSF REU资助项目~~ |
| 李刚 MeyerJ |
| [1]大连理工大学工业装备结构分析国家重点实验室,辽宁大连116024 [2]科罗拉多州立大学化学工程系,科林斯堡,CO80523,美国 |
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| 中文摘要: |
| 结构体系的失效概率数学上可以表示为结构体系失效域上联合概率密度函数的积分，一般情况下很难直接积分求解。近几十年来，结构体系可靠度分析一直是可靠度领域的一个研究热点，人们提出许多方法，如：Monte—Carlo法、重要性抽样法与界限法和概率网络估算技术等，这些算法在求解精度、计算效率、收敛性和易使用性等方面是不同的。本文采用优化算法(改进的可行方向法、序列线性规划和序列二次规划法)进行串联体系可靠度分析，并且与其他算法(HL—RF法、Monte—Carlo法和重要性抽样法)的结果以及一些精确解进行了比较。结果表明，相对于其他算法，基于优化算法的可靠度分析适用性广，在收敛性和健实性等方面具有明显的优势。 |
| 英文摘要: |
| The failure probability of a system can be expressed as an integral of the joint probability density function within the failure domain defined by the limit state functions of the system. Generally, it is very difficult to solve this integral directly. The evaluation of system reliability has been the active research area during the recent decades. Some methods were developed to solve system reliability analysis, such as Monte Carlo method, importance sampling method, bounding techniques and Probabilistic Network Evaluation Technique (PNET). This paper presents the implementation of several optimization algorithms, modified Method of Feasible Direction (MFD), Sequential Linear Programming (SLP) and Sequential Quadratic Programming (SQP), in order to demonstrate the convergence abilities and robust nature of the optimization technique when applied to series system reliability analysis. Examples taken from the published references were calculated and the results were compared with the answers of various other methods and the exact solution. Results indicate the optimization technique has a wide range of application with good convergence ability and robustness, and can handle problems under generalized conditions or cases. |
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