{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,6]],"date-time":"2025-10-06T03:41:27Z","timestamp":1759722087885,"version":"build-2065373602"},"reference-count":27,"publisher":"Wiley","issue":"10","license":[{"start":{"date-parts":[[2025,1,14]],"date-time":"2025-01-14T00:00:00Z","timestamp":1736812800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/linproxy.fan.workers.dev:443\/http\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Circuit Theory &amp;amp; Apps"],"published-print":{"date-parts":[[2025,10]]},"abstract":"<jats:title>ABSTRACT<\/jats:title><jats:p>This paper investigates the no\u2010load normal vibrations of single\u2010sided permanent magnet synchronous linear motors (S\u2010PMSLMs) with different end structures, addressing a significant gap in the current literature. By employing the Maxwell stress tensor method, analyzes the harmonic orders and frequencies of the no\u2010load normal force density are analyzed. Comparative research between the comb\u2010type auxiliary tooth (CTAT) and conventional auxiliary tooth (C\u2010AT) structures indicates that while the CTAT marginally increases the amplitude of the no\u2010load normal force density, it significantly reduces harmonic amplitudes and vibration levels. The theoretical and simulation analyses are validated through no\u2010load vibration experiments, providing valuable insights for the design optimization of S\u2010PMSLMs, particularly beneficial for high\u2010speed transportation systems that require high precision and reliability.<\/jats:p>","DOI":"10.1002\/cta.4432","type":"journal-article","created":{"date-parts":[[2025,1,14]],"date-time":"2025-01-14T19:08:52Z","timestamp":1736881732000},"page":"5977-5988","update-policy":"https:\/\/linproxy.fan.workers.dev:443\/https\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Analysis of No\u2010Load Normal Vibration in Single\u2010Sided Permanent Magnet Synchronous Linear Motors With Different End Structures"],"prefix":"10.1002","volume":"53","author":[{"ORCID":"https:\/\/linproxy.fan.workers.dev:443\/https\/orcid.org\/0009-0004-1267-0527","authenticated-orcid":false,"given":"Haoran","family":"Wang","sequence":"first","affiliation":[{"name":"College of Electrical and Information Engineering Zhengzhou University of Light Industry  Zhengzhou China"}]},{"ORCID":"https:\/\/linproxy.fan.workers.dev:443\/https\/orcid.org\/0000-0002-9346-7253","authenticated-orcid":false,"given":"Lei","family":"Huang","sequence":"additional","affiliation":[{"name":"School of Electrical Engineering Southeast University  Nanjing China"}]},{"given":"Xiaomei","family":"Liu","sequence":"additional","affiliation":[{"name":"College of Electrical and Information Engineering Zhengzhou University of Light Industry  Zhengzhou China"}]}],"member":"311","published-online":{"date-parts":[[2025,1,14]]},"reference":[{"key":"e_1_2_10_2_1","first-page":"1","volume-title":"Proceedings of the 2019 22nd International Conference on Electrical Machines and Systems (ICEMS)","author":"Zhang R.","year":"2019"},{"key":"e_1_2_10_3_1","first-page":"1","volume-title":"Proceedings of the 2023 14th International Symposium on Linear Drivers for Industry Applications (LDIA)","author":"Wang Q.","year":"2023"},{"key":"e_1_2_10_4_1","doi-asserted-by":"publisher","DOI":"10.1109\/TASC.2024.3420307"},{"key":"e_1_2_10_5_1","first-page":"1","volume-title":"Proceedings of the 2024 IEEE International Magnetic Conference \u2010 Short Papers (INTERMAG Short Papers)","author":"Ji B.","year":"2024"},{"key":"e_1_2_10_6_1","doi-asserted-by":"publisher","DOI":"10.1109\/TIE.2020.2991932"},{"key":"e_1_2_10_7_1","doi-asserted-by":"publisher","DOI":"10.1109\/TIE.2021.3065625"},{"key":"e_1_2_10_8_1","doi-asserted-by":"publisher","DOI":"10.1109\/ACCESS.2019.2913867"},{"key":"e_1_2_10_9_1","doi-asserted-by":"publisher","DOI":"10.1109\/TASC.2024.3420301"},{"key":"e_1_2_10_10_1","doi-asserted-by":"publisher","DOI":"10.1109\/TMAG.2024.3406393"},{"key":"e_1_2_10_11_1","doi-asserted-by":"publisher","DOI":"10.1109\/ICEMS59686.2023.10345240"},{"key":"e_1_2_10_12_1","doi-asserted-by":"publisher","DOI":"10.1109\/TEC.2023.3337650"},{"key":"e_1_2_10_13_1","doi-asserted-by":"publisher","DOI":"10.1109\/ICEMS59686.2023.10344967"},{"key":"e_1_2_10_14_1","doi-asserted-by":"publisher","DOI":"10.1109\/TTE.2024.3422988"},{"key":"e_1_2_10_15_1","first-page":"1102","volume-title":"Proceedings of the 2023 IEEE\/ASME International Conference on Advanced Intelligent Mechatronics (AIM)","author":"Kwon Y. 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