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Application of Wiener Processes on Modeling Nonlinear Degradation |
WANG Haowei1, XU Tingxue2, HE Yingzheng3 |
1. Graduate Students' Brigade, Naval Aeronautical and Astronautical University, Yantai 264001, China;
2. Department of Ordnance Science and Technology, Naval Aeronautical and Astronautical University, Yantai 264001, China;
3. Department of Discipline, Naval Aeronautical and Astronautical University, Yantai 264001, China |
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Abstract: 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.
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Received: 27 May 2013
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