贫信息背景下基于矩域灰点排序的灰FMECA模型

为解决贫信息背景下对系统进行故障模式、影响及危害性分析(failure mode, effects and criticality analysis, FMECA)受故障信息少、故障数据部分未知等问题限制, 同时为有限定量危害性矩阵分析方法的缺陷, 提出了适用于贫信息背景的灰FMECA模型。首先对危害性矩阵图进行规范化改进, 统一横纵坐标轴量纲, 提出危害度权重比概念以规范作图比例; 然后在危害度计算中引入区间灰数, 提出矩域灰点概念以表征故障模式难以确知的危害性; 最后依照不确定型决策思想给出矩域灰点的一般排序规则, 为贫信息背景的故障模式危害性排序提供解决方案。通过某航天飞机主发动机高压燃料涡轮泵进行案例研究, 验证了所提模型的有效性。

Grey FMECA model based on ordering of grey point in rectangular region under the background of poor information

Under the background of poor information, it is difficult to implement the failure mode, effects and criticality analysis (FMECA) on products due to limitations such as lack of failure information and uncertain failure data. At the same time, in order to overcome the drawbacks of the quantitative criticality matrix analysis method, a grey FMECA model suitable for poor information background is proposed. Firstly, the criticality matrix diagram is standardized, the dimensions of the horizontal and vertical axes are unified, and the concept of criticality weight ratio is proposed to standardize the mapping ratio. In addition, interval grey numbers are introduced into criticality calculation, and the concept of grey point in the rectangular region is proposed to characterize the hazards of failure modes that are difficult to ascertain.Finally, general ordering rules for grey points in the rectangular region are given according to the enlightenment from decision-making under uncertainty, which provide solutions to the ordering of the criticality of failure modes under poor information background. A case study of the high-pressure fuel turbopump in a space shuttle's main engine verifies the validity of the proposed model.