Time-Variant Reliability Analysis Method for Uncertain Motion Mechanisms Based on Stochastic Process Discretization

可靠性(半导体) 离散化 计算机科学 随机变量 随机过程 概率密度函数 数学优化 高斯过程 LTI系统理论 高斯分布 数学 统计 线性系统 数学分析 功率(物理) 物理 量子力学
作者
Qishui Yao,Quan Zhang,Jiachang Tang,Xiaopeng Wang,Meijuan Hu
出处
期刊:IEEE Access [Institute of Electrical and Electronics Engineers]
卷期号:10: 49040-49049
标识
DOI:10.1109/access.2022.3153524
摘要

The reliability of a motion mechanism is affected by corrosion, wear, aging and other components’ performance degradations with the extension of service time. This paper tackles this problem by proposing a time-varying reliability analysis method for uncertain motion mechanisms. First, a model of motion mechanism error is constructed by assessing the difference between actual and expected motion. A time-varying reliability analysis method for a motion mechanism is proposed. The time-varying performance function is discretized into several static performance functions, which are further approximated with several normal variables. Then, the correlation coefficient matrix and probability density function of these normal variables are calculated, and the time-varying reliability of a motion mechanism is obtained via high-dimensional Gaussian integration. The study demonstrates that the proposed method successfully transforms the time-varying reliability problem into several time-invariant reliability problems for analysis, and handles the time-varying reliability problem of a nonlinear motion mechanism involving random variables and stochastic processes, and significantly increases the computational efficiency. Finally, the proposed method’s effectiveness is verified by two numerical examples and one practical engineering problem.
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