{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,21]],"date-time":"2026-04-21T13:07:05Z","timestamp":1776776825205,"version":"3.51.2"},"reference-count":38,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2022,1,12]],"date-time":"2022-01-12T00:00:00Z","timestamp":1641945600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>Due to planetary movement of planet gears, the vibration signal perceived by a stationary sensor is modulated and difficult to diagnose. This paper proposed a vibration separation methodology compensated by a time-varying transfer function (TVTF-VS), which is a further development of the vibration separation (VS) method in the diagnosis of non-hunting tooth planetary gearboxes. On the basis of VS, multi-teeth VS is proposed to extract and synthesize the meshing signal of a planet gear using a single transducer. Considering the movement regularity of a planetary gearbox, the time-varying transfer function (TVTF) is represented by a generalized expression. The TVTF is constructed using a segment of healthy signal and an evaluation indicator is established to optimize the parameters of the TVTF. The constructed TVTF is applied to overcome the amplitude modulation effect and highlight fault characteristics. After that, experiments with baseline, pitting, and compound localized faults planet gears were conducted on a non-hunting tooth planetary gearbox test rig, respectively. The results demonstrate that incipient failure on a planet gear can be detected effectively, and relative location of the local faults can be determined accurately.<\/jats:p>","DOI":"10.3390\/s22020557","type":"journal-article","created":{"date-parts":[[2022,1,12]],"date-time":"2022-01-12T04:15:25Z","timestamp":1641960925000},"page":"557","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":13,"title":["Vibration Separation Methodology Compensated by Time-Varying Transfer Function for Fault Diagnosis of Non-Hunting Tooth Planetary Gearbox"],"prefix":"10.3390","volume":"22","author":[{"given":"Shuiguang","family":"Tong","sequence":"first","affiliation":[{"name":"The State Key Laboratory of Fluid Power and Mechatronic Systems, Zhejiang University, No. 38 Zheda Road, Hangzhou 310027, China"},{"name":"School of Mechanical Engineering, Zhejiang University, No. 38 Zheda Road, Hangzhou 310027, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Junjie","family":"Li","sequence":"additional","affiliation":[{"name":"The State Key Laboratory of Fluid Power and Mechatronic Systems, Zhejiang University, No. 38 Zheda Road, Hangzhou 310027, China"},{"name":"School of Mechanical Engineering, Zhejiang University, No. 38 Zheda Road, Hangzhou 310027, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Feiyun","family":"Cong","sequence":"additional","affiliation":[{"name":"The State Key Laboratory of Fluid Power and Mechatronic Systems, Zhejiang University, No. 38 Zheda Road, Hangzhou 310027, China"},{"name":"School of Mechanical Engineering, Zhejiang University, No. 38 Zheda Road, Hangzhou 310027, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zilong","family":"Fu","sequence":"additional","affiliation":[{"name":"The State Key Laboratory of Fluid Power and Mechatronic Systems, Zhejiang University, No. 38 Zheda Road, Hangzhou 310027, China"},{"name":"School of Mechanical Engineering, Zhejiang University, No. 38 Zheda Road, Hangzhou 310027, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zheming","family":"Tong","sequence":"additional","affiliation":[{"name":"The State Key Laboratory of Fluid Power and Mechatronic Systems, Zhejiang University, No. 38 Zheda Road, Hangzhou 310027, China"},{"name":"School of Mechanical Engineering, Zhejiang University, No. 38 Zheda Road, Hangzhou 310027, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2022,1,12]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"468","DOI":"10.1016\/j.renene.2013.12.047","article-title":"Fault diagnosis of wind turbine planetary gearbox under nonstationary conditions via adaptive optimal kernel time\u2013frequency analysis","volume":"66","author":"Feng","year":"2014","journal-title":"Renew. 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