{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,23]],"date-time":"2026-07-23T14:41:48Z","timestamp":1784817708360,"version":"3.55.0"},"reference-count":22,"publisher":"SAGE Publications","license":[{"start":{"date-parts":[[2025,3,17]],"date-time":"2025-03-17T00:00:00Z","timestamp":1742169600000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by-nc\/4.0\/"},{"start":{"date-parts":[[2025,3,17]],"date-time":"2025-03-17T00:00:00Z","timestamp":1742169600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"funder":[{"name":"the Applied Basic Research Programs of Changzhou","award":["CJ20235047"],"award-info":[{"award-number":["CJ20235047"]}]},{"name":"Major Program of Natural Science Research in Higher Education Institutions in Jiangsu Province","award":["21KJA460004"],"award-info":[{"award-number":["21KJA460004"]}]},{"name":"Key Project of Shaoxing University","award":["13011001005\/132"],"award-info":[{"award-number":["13011001005\/132"]}]},{"DOI":"10.13039\/501100002858","name":"the China Postdoctoral Science Foundation","doi-asserted-by":"crossref","award":["2023M740554"],"award-info":[{"award-number":["2023M740554"]}],"id":[{"id":"10.13039\/501100002858","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Journal of Industrial Textiles"],"published-print":{"date-parts":[[2025,5]]},"abstract":"\n In the multi-ring braiding equipment, gear transmission system is an extremely important part, its operation process will be affected by a variety of factors. Considering the influence of contact temperature on the dynamic behavior of the gear transmission system, a mathematical model of the gear system is established in order to observe the nonlinear characteristics of the system. And the bifurcation diagrams, the maximum Lyapunov exponents diagrams, phase diagrams, Poincar\u00e9 mapping diagrams, and the power spectrum diagrams are analyzed. Using the final iteration results to study the nonlinear characteristics of the gear system and the model is evaluated to show the key regions of sensitivity. The results show that\n \n \n \n \n k<\/mml:mi>\n w<\/mml:mi>\n <\/mml:msub>\n <\/mml:mrow>\n <\/mml:math>\n <\/jats:inline-formula>\n must be controlled\n \n \n \n \n k<\/mml:mi>\n w<\/mml:mi>\n <\/mml:msub>\n <<\/mml:mo>\n 0.32<\/mml:mn>\n <\/mml:mrow>\n <\/mml:math>\n <\/jats:inline-formula>\n .The amplitude response of the system is strong when\n \n \n \n 200<\/mml:mn>\n \u2264<\/mml:mo>\n \u03c9<\/mml:mi>\n \u2264<\/mml:mo>\n 240<\/mml:mn>\n <\/mml:mrow>\n <\/mml:math>\n <\/jats:inline-formula>\n . Compared to the bifurcation diagram, the system exhibits chaotic behavior within the range of this frequency, and as\n \n \n \n \n k<\/mml:mi>\n w<\/mml:mi>\n <\/mml:msub>\n <\/mml:mrow>\n <\/mml:math>\n <\/jats:inline-formula>\n increase, the strong amplitude response of the system increases at\n \n \n \n 200<\/mml:mn>\n \u2264<\/mml:mo>\n \u03c9<\/mml:mi>\n \u2264<\/mml:mo>\n 240<\/mml:mn>\n <\/mml:mrow>\n <\/mml:math>\n <\/jats:inline-formula>\n .The nonlinear characteristics are greatly influenced by the incentive factors such as the contact temperature, and the analysis results are beneficial to the design and control of the braiding machine.\n <\/jats:p>","DOI":"10.1177\/15280837251323209","type":"journal-article","created":{"date-parts":[[2025,3,18]],"date-time":"2025-03-18T00:17:11Z","timestamp":1742257031000},"update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":2,"title":["Investigation of nonlinear characteristics of a gear transmission system in a multi-ring braiding machine considering contact temperature"],"prefix":"10.1177","volume":"55","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-7890-6548","authenticated-orcid":false,"given":"Lingling","family":"Yao","sequence":"first","affiliation":[{"name":"Jiangsu University of Technology"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3377-5032","authenticated-orcid":false,"given":"Chengjie","family":"Du","sequence":"additional","affiliation":[{"name":"Shaoxing University"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0009-0003-0050-5252","authenticated-orcid":false,"given":"Yapeng","family":"Lu","sequence":"additional","affiliation":[{"name":"Jiangsu University of Technology"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"179","published-online":{"date-parts":[[2025,3,17]]},"reference":[{"key":"e_1_3_3_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.compscitech.2008.04.047"},{"key":"e_1_3_3_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.compstruct.2019.111565"},{"key":"e_1_3_3_4_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.matdes.2021.110267"},{"key":"e_1_3_3_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.compstruct.2018.10.085"},{"key":"e_1_3_3_6_2","doi-asserted-by":"publisher","DOI":"10.1177\/0021998316681830"},{"key":"e_1_3_3_7_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.compstruct.2019.110947"},{"key":"e_1_3_3_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.compstruct.2004.01.009"},{"key":"e_1_3_3_9_2","volume-title":"Design and analysis of bevel gear drive system of large horizontal stereoscopic knitting machine","author":"Gan Z","year":"2016","unstructured":"Gan Z. Design and analysis of bevel gear drive system of large horizontal stereoscopic knitting machine. Shanghai: Donghua University, 2016."},{"key":"e_1_3_3_10_2","doi-asserted-by":"publisher","DOI":"10.1038\/192844a0"},{"key":"e_1_3_3_11_2","doi-asserted-by":"publisher","DOI":"10.1006\/mssp.2001.1414"},{"key":"e_1_3_3_12_2","first-page":"1","article-title":"Study on the dynamic characteristics of double involute gear transmission system considering wear failure","author":"Jiang C","year":"2024","unstructured":"Jiang C, Fan Z, Jiang Y, et al. Study on the dynamic characteristics of double involute gear transmission system considering wear failure. Mechanical and electrical engineering 2024: 1\u201313. https:\/\/kns.cnki.net\/kcms\/detail\/33.1088.TH.20231213.1153.008.html","journal-title":"Mechanical and electrical engineering"},{"key":"e_1_3_3_13_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jsv.2013.04.022"},{"key":"e_1_3_3_14_2","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-021-06852-y"},{"key":"e_1_3_3_15_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.engfailanal.2017.10.012"},{"key":"e_1_3_3_16_2","first-page":"105","article-title":"Numerical modelling of toothed gear dynamics","volume":"97","author":"Margielewicz J","year":"2017","unstructured":"Margielewicz J, G\u0105ska D, Wojnar G. Numerical modelling of toothed gear dynamics. Zeszyty Naukowe. Transport\/Politechnika \u015al\u0105ska. 2017; 97: 105.","journal-title":"Zeszyty Naukowe. 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