{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,5]],"date-time":"2026-02-05T13:14:37Z","timestamp":1770297277506,"version":"3.49.0"},"reference-count":30,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2019,12,31]],"date-time":"2019-12-31T00:00:00Z","timestamp":1577750400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11702177"],"award-info":[{"award-number":["11702177"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Natural Science Foundation of Liaoning Province of China","award":["20180550650"],"award-info":[{"award-number":["20180550650"]}]},{"name":"Liaoning province Department of Education fund","award":["LN201710"],"award-info":[{"award-number":["LN201710"]}]},{"name":"Research Start-up Funding of Shenyang Aerosapce University","award":["19YB38"],"award-info":[{"award-number":["19YB38"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>Inter-shaft bearing as a key component of turbomachinery is a major source of catastrophic accidents. Due to the requirement of high sampling frequency and high sensitivity to impact signals, AE (Acoustic Emission) signals are widely applied to monitor and diagnose inter-shaft bearing faults. With respect to the nonstationary and nonlinear of inter-shaft bearing AE signals, this paper presents a novel fault diagnosis method of inter-shaft bearing called the multi-domain entropy-random forest (MDERF) method by fusing multi-domain entropy and random forest. Firstly, the simulation test of inter-shaft bearing faults is conducted to simulate the typical fault modes of inter-shaft bearing and collect the data of AE signals. Secondly, multi-domain entropy is proposed as a feature extraction approach to extract the four entropies of AE signal. Finally, the samples in the built set are divided into two subsets to train and establish the random forest model of bearing fault diagnosis, respectively. The effectiveness and generalization ability of the developed model are verified based on the other experimental data. The proposed fault diagnosis method is validated to hold good generalization ability and high diagnostic accuracy (~0.9375) without over-fitting phenomenon in the fault diagnosis of bearing shaft.<\/jats:p>","DOI":"10.3390\/e22010057","type":"journal-article","created":{"date-parts":[[2020,1,3]],"date-time":"2020-01-03T03:28:53Z","timestamp":1578022133000},"page":"57","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":27,"title":["Multi-Domain Entropy-Random Forest Method for the Fusion Diagnosis of Inter-Shaft Bearing Faults with Acoustic Emission Signals"],"prefix":"10.3390","volume":"22","author":[{"given":"Jing","family":"Tian","sequence":"first","affiliation":[{"name":"Liaoning Key Laboratory of Advanced Test Technology for Aeronautical Propulsion System, Shenyang Aerospace University, Shenyang 110136, China"}]},{"given":"Lili","family":"Liu","sequence":"additional","affiliation":[{"name":"Liaoning Key Laboratory of Advanced Test Technology for Aeronautical Propulsion System, Shenyang Aerospace University, Shenyang 110136, China"}]},{"given":"Fengling","family":"Zhang","sequence":"additional","affiliation":[{"name":"Liaoning Key Laboratory of Advanced Test Technology for Aeronautical Propulsion System, Shenyang Aerospace University, Shenyang 110136, China"}]},{"given":"Yanting","family":"Ai","sequence":"additional","affiliation":[{"name":"Liaoning Key Laboratory of Advanced Test Technology for Aeronautical Propulsion System, Shenyang Aerospace University, Shenyang 110136, China"}]},{"given":"Rui","family":"Wang","sequence":"additional","affiliation":[{"name":"Department of Power and Energy, Northwestern Polytechnical University, Xi\u2019an 710129, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5333-1055","authenticated-orcid":false,"given":"Chengwei","family":"Fei","sequence":"additional","affiliation":[{"name":"Department of Aeronautics and Astronautics, Fudan University, Shanghai 200433, China"}]}],"member":"1968","published-online":{"date-parts":[[2019,12,31]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"105466","DOI":"10.1016\/j.ast.2019.105466","article-title":"Decomposed-coordinated surrogate modelling strategy for compound function approximation and a turbine blisk reliability evaluation","volume":"95","author":"Fei","year":"2019","journal-title":"Aerosp. 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