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Mathematical Problems in Engineering
Volume 2015 (2015), Article ID 123730, 10 pages
Research Article

Modeling the Relationship between Vibration Features and Condition Parameters Using Relevance Vector Machines for Health Monitoring of Rolling Element Bearings under Varying Operation Conditions

1Laboratory of Science and Technology on Integrated Logistics Support, National University of Defense Technology, Changsha 410073, China
2College of Mechatronics Engineering and Automation, National University of Defense Technology, Changsha 410073, China
3School of Computing and Engineering, University of Huddersfield, Huddersfield HD1 3HD, UK

Received 12 July 2014; Accepted 30 December 2014

Academic Editor: Yingwei Zhang

Copyright © 2015 Lei Hu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Rotational speed and load usually change when rotating machinery works. Both this kind of changing operational conditions and machine fault could make the mechanical vibration characteristics change. Therefore, effective health monitoring method for rotating machinery must be able to adjust during the change of operational conditions. This paper presents an adaptive threshold model for the health monitoring of bearings under changing operational conditions. Relevance vector machines (RVMs) are used for regression of the relationships between the adaptive parameters of the threshold model and the statistical characteristics of vibration features. The adaptive threshold model is constructed based on these relationships. The health status of bearings can be indicated via detecting whether vibration features exceed the adaptive threshold. This method is validated on bearings running at changing speeds. The monitoring results show that this method is effective as long as the rotational speed is higher than a relative small value.