CAJ | 학술논문

钢轨的疲劳重伤失效概率服从威布尔分布。但在估计其威布尔分布的三个参数时，传统的图解法效率低，且误差较大。而将威布尔函数转换成线性函数后进行最小二乘拟合的算法，则需要在一维上搜索相关系数的最大值。提出利用下山单纯形算法进行参数估计，并根据钢轨重伤威布尔模型的参数一般分布情况，构造合理的初始单纯形。结果表明，下山单纯形法在估计参数时，精度高，速度快，能有效地估计钢轨重伤威布尔分布的三个参数。
강궤적피로중상실효개솔복종위포이분포。단재고계기위포이분포적삼개삼수시，전통적도해법효솔저，차오차교대。이장위포이함수전환성선성함수후진행최소이승의합적산법，칙수요재일유상수색상관계수적최대치。제출이용하산단순형산법진행삼수고계，병근거강궤중상위포이모형적삼수일반분포정황，구조합리적초시단순형。결과표명，하산단순형법재고계삼수시，정도고，속도쾌，능유효지고계강궤중상위포이분포적삼개삼수。
Rail fatigue and severe defects rates follow the Weibull distribution.When estimating three parameters of their Weibull distribution,traditional graphic method is of low efficiency and large error.It needs to search the maximum value of correlation coefficient in one dimension when using the least-squares fitting method after transforming the Weibull function into linear function.In the paper we propose to apply downhill simplex method to estimating the parameters,and construct reasonable initial simplex based on the general distribution of the Weibull model parameters of severe rail defects.The result indicates that the downhill simplex method is of high-precision and fast pace in parameters estimation,it can effectively estimate three parameters of Weibull distribution of severe rail defects.