Wiener过程在非线性退化建模中的应用

 针对Wiener过程为线性随机过程而产品性能退化为非线性的情况，提出一种时间尺度转换方法，首先通过时间尺度转换把非线性退化数据转换成线性退化数据，采用Wiener过程对其进行建模分析，然后通过时间尺度逆转换实现产品在原有时间尺度下的可靠性评估。给出了Wiener 过程参数估计的步骤和方法，并以某型导弹电连接器的加速退化数据为例，阐述了基于时间尺度转换的Wiener过程在非线性退化建模中的应用。结果表明，时间尺度转换方法成功实现了电连接器的可靠性评估，从而拓展了Wiener过程的应用范围，为非线性退化建模提供了一种有效途径，并为退化型产品的可靠性评估提供了可行的思路。

Application of Wiener Processes on Modeling Nonlinear Degradation

According to the situation that a Wiener process is linear stochastic process but performance degradation processes are nonlinear, an approach based on time scale transformations was proposed. Firstly, nonlinear degradation data was transformed to linear degradation data with time scale transformations. Then, the transformed linear degradation data was modeled by Wiener processes. Lastly, with inverse time scale transformations, reliability assessments of product were implemented at the former time scale. On the base of introducing Wiener processes, the method and processes of parameters estimation were presented. Taking accelerated degradation data of certain type missile electrical connectors as example, the application of Wiener processes on modeling nonlinear degradation processes with time scale transformations was detailed illustrated. Results show that the method of time scale transformations extends the applications of Wiener processes, and provides an effective approach for modeling nonlinear degradation. The method successfully realized reliability assessment of the electrical connector, and offers a feasible idea of assessing reliability for other degradation products.