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Open AccessArticle

Improved Dynamic Mode Decomposition and Its Application to Fault Diagnosis of Rolling Bearing

by Zhang Dang 1,2,3, Yong Lv 1,2,*, Yourong Li 1,2 and Guoqian Wei 1,2
1
Key Laboratory of Metallurgical Equipment and Control Technology, Ministry of Education, Wuhan University of Science and Technology, Wuhan 430081, China
2
Hubei Key Laboratory of Mechanical Transmission and Manufacturing Engineering, Wuhan University of Science and Technology, Wuhan 430081, China
3
National Demonstration Center for Experimental Mechanical Education, Wuhan University of Science and Technology, Wuhan 430081, China
*
Author to whom correspondence should be addressed.
Sensors 2018, 18(6), 1972; https://doi.org/10.3390/s18061972
Received: 17 May 2018 / Revised: 13 June 2018 / Accepted: 16 June 2018 / Published: 19 June 2018
(This article belongs to the Section Physical Sensors)
To solve the intractable problems of optimal rank truncation threshold and dominant modes selection strategy of the standard dynamic mode decomposition (DMD), an improved DMD algorithm is introduced in this paper. Distinct from the conventional methods, a convex optimization framework is introduced by applying a parameterized non-convex penalty function to obtain the optimal rank truncation number. This method is inspirited by the performance that it is more perfectible than other rank truncation methods in inhibiting noise disturbance. A hierarchical and multiresolution application similar to the process of wavelet packet decomposition in modes selection is presented so as to improve the algorithm’s performance. With the modes selection strategy, the frequency spectrum of the reconstruction signal is more readable and interference-free. The improved DMD algorithm successfully extracts the fault characteristics of rolling bearing fault signals when it is utilized for mechanical signal feature extraction. Results demonstrated that the proposed method has good application prospects in denoising and fault feature extraction for mechanical signals. View Full-Text
Keywords: dynamic mode decomposition; optimal rank truncation threshold; dominant modes selection strategy; fault diagnosis dynamic mode decomposition; optimal rank truncation threshold; dominant modes selection strategy; fault diagnosis
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Dang, Z.; Lv, Y.; Li, Y.; Wei, G. Improved Dynamic Mode Decomposition and Its Application to Fault Diagnosis of Rolling Bearing. Sensors 2018, 18, 1972.

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