{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T02:26:58Z","timestamp":1760149618848,"version":"build-2065373602"},"reference-count":22,"publisher":"MDPI AG","issue":"17","license":[{"start":{"date-parts":[[2023,8,22]],"date-time":"2023-08-22T00:00:00Z","timestamp":1692662400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"National Key Research the Development Program of China","award":["2021YFF0603000","52275103","2021JJ30260"],"award-info":[{"award-number":["2021YFF0603000","52275103","2021JJ30260"]}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["2021YFF0603000","52275103","2021JJ30260"],"award-info":[{"award-number":["2021YFF0603000","52275103","2021JJ30260"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Hunan Provincial Natural Science Foundation of China","award":["2021YFF0603000","52275103","2021JJ30260"],"award-info":[{"award-number":["2021YFF0603000","52275103","2021JJ30260"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>Extracting the fault characteristic information of rolling bearings from intense noise disturbance has been a heated research issue. Symplectic geometry mode decomposition (SGMD) has already been adopted for bearing fault diagnosis due to its advantages of no subjective customization of parameters and the ability to reconstruct existing modes. However, SGMD suffers from rapidly decreasing calculation efficiency as the amount of data increases, in addition to invalid symplectic geometry components affecting decomposition accuracy. The regularized composite multiscale fuzzy entropy (RCMFE) operator is constructed to evaluate the complexity of each initial single component and minimize the residual energy. Combined with the partial reconstruction threshold indicator to filter out specific significant initial single components, the raw signal can be decomposed into multiple physically meaningful symplectic geometric mode components. Therefore, the decomposition efficiency and accuracy can be enhanced. Thus, a rolling bearing fault diagnosis method is proposed based on partial reconstruction symplectic geometry mode decomposition (PRSGMD). Both simulated and experimental analysis results show that PRSGMD can improve the speed of SGMD analysis while increasing the decomposition accuracy, thereby augmenting the robustness and effectiveness of the algorithm.<\/jats:p>","DOI":"10.3390\/s23177335","type":"journal-article","created":{"date-parts":[[2023,8,23]],"date-time":"2023-08-23T08:20:30Z","timestamp":1692778830000},"page":"7335","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["The Partial Reconstruction Symplectic Geometry Mode Decomposition and Its Application in Rolling Bearing Fault Diagnosis"],"prefix":"10.3390","volume":"23","author":[{"given":"Yanfei","family":"Liu","sequence":"first","affiliation":[{"name":"State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha 410082, China"}]},{"given":"Junsheng","family":"Cheng","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha 410082, China"}]},{"given":"Yu","family":"Yang","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha 410082, China"}]},{"given":"Guangfu","family":"Bin","sequence":"additional","affiliation":[{"name":"Hunan Provincial Key Laboratory of Health Maintenance for Mechanical Equipment, Hunan University of Science and Technology, Xiangtan 411201, China"}]},{"given":"Yiping","family":"Shen","sequence":"additional","affiliation":[{"name":"Hunan Provincial Key Laboratory of Health Maintenance for Mechanical Equipment, Hunan University of Science and Technology, Xiangtan 411201, China"}]},{"given":"Yanfeng","family":"Peng","sequence":"additional","affiliation":[{"name":"Hunan Provincial Key Laboratory of Health Maintenance for Mechanical Equipment, Hunan University of Science and Technology, Xiangtan 411201, China"}]}],"member":"1968","published-online":{"date-parts":[[2023,8,22]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"115002","DOI":"10.1088\/1361-6501\/aada8c","article-title":"Multiple instantaneous frequency ridge based integration strategy for bearing fault diagnosis under variable speed operations","volume":"29","author":"Ding","year":"2018","journal-title":"Meas. 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