CAJ | 학술논문

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.
연구함유비정태수궤변량차수궤변량구유상관성적궤계령건단모가고도통일모형，운용 Rosenblatt변환(RT변환)、R-F변환、Edgeworth급수법장비정태분포수궤변량변환위정태수궤변량，이용선성대수이론장상관표준정태수궤변량전환위선성무관적정태수궤변량，연후이용일차이계구(FOSM)법、개진적일차이계구(AFOSM)법구득궤계령건단모가고도지수급가고도.기우소건궤계령건단모가고도통일모형，제출료함유비정태수궤변량차수궤변량간구유상관성적령건단모가고도계산궤구해적실현산법.이모1.6 MW풍전치륜상중일대표준직치륜교합전동위례，통과탐토치면접촉피로저일단모실효하적가고도，분석료수궤변량간상관계수적변화대령건가고도적영향규률，동시험증료산법적괄용성화고효성.
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.