| 刘华汉,蒋玮,杨光辉,吕海霆.随机变量非正态分布且相关的机械零件单模失效可靠度分析[J].,2015,55(1):22-30 |
| 随机变量非正态分布且相关的机械零件单模失效可靠度分析 |
| Single failure mode reliability analysis of mechanical components under dependent random variables with non-normal distribution |
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| DOI：10.7511/dllgxb201501004 |
| 中文关键词: 单模失效 零件可靠度 非正态分布 相关性 算法 |
| 英文关键词: single failure mode component reliability non-normal distribution correlation algorithm |
| 基金项目:辽宁省“十百千高端人才引进工程”资助项目. |
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| 摘要点击次数: 1981 |
| 全文下载次数: 2466 |
| 中文摘要: |
| 研究含有非正态随机变量且随机变量具有相关性的机械零件单模可靠度统一模型，运用Rosenblatt变换(RT变换)、R-F变换、Edgeworth级数法将非正态分布随机变量变换为正态随机变量，利用线性代数理论将相关标准正态随机变量转换为线性无关的正态随机变量，然后利用一次二阶矩(FOSM)法、改进的一次二阶矩(AFOSM)法求得机械零件单模可靠度指数及可靠度．基于所建机械零件单模可靠度统一模型，提出了含有非正态随机变量且随机变量间具有相关性的零件单模可靠度计算机求解的实现算法．以某1.6 MW风电齿轮箱中一对标准直齿轮啮合传动为例，通过探讨齿面接触疲劳这一单模失效下的可靠度，分析了随机变量间相关系数的变化对零件可靠度的影响规律，同时验证了算法的适用性和高效性． |
| 英文摘要: |
| The single mode reliability of the mechanical component is studied with dependent random variables which do not obey the normal distribution. The non-normal distribution random variables are transformed into the normal distribution random variables by using the Rosenblatt transformation (RT), R-F transformation and Edgeworth method. The correlation standard normal random variables are changed into the independent variables on the basis of the linear algebra theory. Then, the single mode reliability index and reliability of mechanical components are obtained by using the first-order second-moment (FOSM) method and advanced first-order second-moment (AFOSM) method. On the basis of the non-normal distribution random variables and the correlation of the variables, computer realization of the reliability calculation algorithm of the mechanical component with single failure mode is proposed. A pair of spur gear in 1.6 MW wind turbine gearbox is taken as an example with considering one failure mode — tooth surface contact fatigue failure, the effect of the variables′ correlation coefficient on the component reliability is analyzed. The high efficiency and applicability of the algorithm are also verified by the example. |
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