周期应力下非线性退化建模与剩余寿命估计

Nonlinear degradation process modeling and remaining useful life estimation under periodic stress

针对设备在贮存和工作过程中可能存在受到周期性特征应力作用的问题,基于扩散过程,提出一种周期应力作用下的非线性退化模型,并在首达时间意义下,推导得到解析形式的剩余寿命分布函数,给出参数的极大似然估计方法。仿真实验的统计分析验证所提模型的正确性,并说明所提剩余寿命估计方法优于线性建模方法,具有潜在工程应用价值。

For the problem of equipment in the storage or work may be the actual situation of periodic stress. In this paper, a nonlinear degradation process modeling under periodic stress approach is proposed based on diffusion process and the RUL distribution is derived in the sense of the first passage time. A maximum likelihood estimation method is presented to estimate the unknown parameters of the degradation model. Simulation studies indicate that the proposed method can generate reasonably better results than the linear model and thus verify the correctness and potential usefulness in practice of the proposed model.