{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,3]],"date-time":"2026-02-03T19:19:01Z","timestamp":1770146341565,"version":"3.49.0"},"reference-count":25,"publisher":"MDPI AG","issue":"6","license":[{"start":{"date-parts":[[2022,6,14]],"date-time":"2022-06-14T00:00:00Z","timestamp":1655164800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100004480","name":"Natural Science Foundation of Shanxi Province","doi-asserted-by":"publisher","award":["201901D211200"],"award-info":[{"award-number":["201901D211200"]}],"id":[{"id":"10.13039\/501100004480","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004480","name":"Natural Science Foundation of Shanxi Province","doi-asserted-by":"publisher","award":["20210302123065"],"award-info":[{"award-number":["20210302123065"]}],"id":[{"id":"10.13039\/501100004480","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004480","name":"Natural Science Foundation of Shanxi Province","doi-asserted-by":"publisher","award":["M2021-MS11"],"award-info":[{"award-number":["M2021-MS11"]}],"id":[{"id":"10.13039\/501100004480","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004480","name":"Natural Science Foundation of Shanxi Province","doi-asserted-by":"publisher","award":["XJJ201930"],"award-info":[{"award-number":["XJJ201930"]}],"id":[{"id":"10.13039\/501100004480","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Scientific Research Project of Shanxi Tiandi Coal Machinery Equipment Co., Ltd.","award":["201901D211200"],"award-info":[{"award-number":["201901D211200"]}]},{"name":"Scientific Research Project of Shanxi Tiandi Coal Machinery Equipment Co., Ltd.","award":["20210302123065"],"award-info":[{"award-number":["20210302123065"]}]},{"name":"Scientific Research Project of Shanxi Tiandi Coal Machinery Equipment Co., Ltd.","award":["M2021-MS11"],"award-info":[{"award-number":["M2021-MS11"]}]},{"name":"Scientific Research Project of Shanxi Tiandi Coal Machinery Equipment Co., Ltd.","award":["XJJ201930"],"award-info":[{"award-number":["XJJ201930"]}]},{"name":"Natural Science Foundation of North University of China","award":["201901D211200"],"award-info":[{"award-number":["201901D211200"]}]},{"name":"Natural Science Foundation of North University of China","award":["20210302123065"],"award-info":[{"award-number":["20210302123065"]}]},{"name":"Natural Science Foundation of North University of China","award":["M2021-MS11"],"award-info":[{"award-number":["M2021-MS11"]}]},{"name":"Natural Science Foundation of North University of China","award":["XJJ201930"],"award-info":[{"award-number":["XJJ201930"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>Due to the influence of signal-to-noise ratio in the early failure stage of rolling bearings in rotating machinery, it is difficult to effectively extract feature information. Variational Mode Decomposition (VMD) has been widely used to decompose vibration signals which can reflect more fault omens. In order to improve the efficiency and accuracy, a method to optimize VMD by using the Niche Genetic Algorithm (NGA) is proposed in this paper. In this method, the optimal Shannon entropy of modal components in a VMD algorithm is taken as the optimization objective, by using the NGA to constantly update and optimize the combination of influencing parameters composed of \u03b1 and K so as to minimize the local minimum entropy. According to the obtained optimization results, the optimal input parameters of the VMD algorithm were set. The method mentioned is applied to the fault extraction of a simulated signal and a measured signal of a rolling bearing. The decomposition process of the rolling-bearing fault signal was transferred to the variational frame by the NGA-VMD algorithm, and several eigenmode function components were obtained. The energy feature extracted from the modal component containing the main fault information was used as the input vector of a particle swarm optimized support vector machine (PSO-SVM) and used to identify the fault type of the rolling bearing. The analysis results of the simulation signal and measured signal show that: the NGA-VMD algorithm can decompose the vibration signal of a rolling bearing accurately and has a better robust performance and correct recognition rate than the VMD algorithm. It can highlight the local characteristics of the original sample data and reduce the interference of the parameters selected artificially in the VMD algorithm on the processing results, improving the fault-diagnosis efficiency of rolling bearings.<\/jats:p>","DOI":"10.3390\/e24060825","type":"journal-article","created":{"date-parts":[[2022,6,14]],"date-time":"2022-06-14T23:50:14Z","timestamp":1655250614000},"page":"825","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":12,"title":["Research on Fault Diagnosis of Rolling Bearings Based on Variational Mode Decomposition Improved by the Niche Genetic Algorithm"],"prefix":"10.3390","volume":"24","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2500-7615","authenticated-orcid":false,"given":"Ruimin","family":"Shi","sequence":"first","affiliation":[{"name":"School of Mechanical Engineering, North University of China, Taiyuan 030051, China"},{"name":"Department of Science and Technology Development, Taiyuan Institute of China Coal Technology Engineering Group, Taiyuan 030006, China"}]},{"given":"Bukang","family":"Wang","sequence":"additional","affiliation":[{"name":"Department of Science and Technology Development, Taiyuan Institute of China Coal Technology Engineering Group, Taiyuan 030006, China"}]},{"given":"Zongyan","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Mechanical Engineering, North University of China, Taiyuan 030051, China"}]},{"given":"Jiquan","family":"Liu","sequence":"additional","affiliation":[{"name":"Department of Science and Technology Development, Taiyuan Institute of China Coal Technology Engineering Group, Taiyuan 030006, China"}]},{"given":"Xinyu","family":"Feng","sequence":"additional","affiliation":[{"name":"School of Mechanical Engineering, North University of China, Taiyuan 030051, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6151-8848","authenticated-orcid":false,"given":"Lei","family":"Dong","sequence":"additional","affiliation":[{"name":"School of Mechanical Engineering, North University of China, Taiyuan 030051, China"}]}],"member":"1968","published-online":{"date-parts":[[2022,6,14]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"108139","DOI":"10.1016\/j.ymssp.2021.108139","article-title":"Data synthesis using deep feature enhanced generative adversarial networks for rolling bearing imbalanced fault diagnosis","volume":"163","author":"Liu","year":"2022","journal-title":"Mech. 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