{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T13:22:00Z","timestamp":1753881720638,"version":"3.41.2"},"reference-count":28,"publisher":"World Scientific Pub Co Pte Ltd","issue":"09","funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"crossref","award":["Nos. 11902133","Nos. 12071198"],"award-info":[{"award-number":["Nos. 11902133","Nos. 12071198"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2024,7]]},"abstract":"<jats:p> In this paper, the stability and local bifurcations of a composite laminated circular cylindrical shell with radially pre-stretched membranes are explored by using analytical and numerical methods. On the basis of the four-dimensional averaged equation in the case of 1:1 internal resonance, three types of critical points are studied in detail. They are characterized as (1) one pair of purely imaginary eigenvalues and two negative eigenvalues; (2) a simple zero and one pair of purely imaginary eigenvalues; (3) two pairs of purely imaginary eigenvalues in nonresonant case. With the aid of normal form theory and Maple software, the steady-state solutions and the stability regions of the initial equilibrium solutions are obtained. The explicit expressions for the critical bifurcation curves leading to static bifurcation and Hopf bifurcation are also presented. The presence of Hopf bifurcation indicates that the circular cylindrical shell will flutter. The results contribute to the design of reasonable structure parameters to avoid flutter. Finally, numerical simulations are also presented to demonstrate the good agreement with the analytical predictions. <\/jats:p>","DOI":"10.1142\/s0218127424501104","type":"journal-article","created":{"date-parts":[[2024,6,30]],"date-time":"2024-06-30T08:05:24Z","timestamp":1719734724000},"source":"Crossref","is-referenced-by-count":1,"title":["Bifurcations of a Laminated Circular Cylindrical Shell"],"prefix":"10.1142","volume":"34","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-3174-0653","authenticated-orcid":false,"given":"D. M.","family":"Zhang","sequence":"first","affiliation":[{"name":"School of Mathematics and Statistics, Linyi University, Linyi 276005, Shandong, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5500-7571","authenticated-orcid":false,"given":"F.","family":"Li","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Linyi University, Linyi 276005, Shandong, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2024,6,29]]},"reference":[{"key":"S0218127424501104BIB001","doi-asserted-by":"publisher","DOI":"10.1016\/S0377-0427(98)00222-2"},{"key":"S0218127424501104BIB002","doi-asserted-by":"publisher","DOI":"10.11948\/20210082"},{"key":"S0218127424501104BIB003","doi-asserted-by":"publisher","DOI":"10.11948\/20210276"},{"key":"S0218127424501104BIB004","doi-asserted-by":"publisher","DOI":"10.1016\/j.jsv.2022.116872"},{"key":"S0218127424501104BIB005","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2018.06.027"},{"key":"S0218127424501104BIB006","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2020.06.036"},{"key":"S0218127424501104BIB007","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2021.08.015"},{"key":"S0218127424501104BIB008","doi-asserted-by":"publisher","DOI":"10.1016\/j.jsv.2015.03.023"},{"key":"S0218127424501104BIB009","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-017-3734-4"},{"key":"S0218127424501104BIB010","doi-asserted-by":"publisher","DOI":"10.1016\/j.ymssp.2019.02.061"},{"key":"S0218127424501104BIB011","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijnonlinmec.2011.07.012"},{"key":"S0218127424501104BIB012","doi-asserted-by":"publisher","DOI":"10.1016\/j.compstruct.2017.02.063"},{"key":"S0218127424501104BIB013","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-008-9382-y"},{"key":"S0218127424501104BIB014","doi-asserted-by":"publisher","DOI":"10.1142\/S021812741550025X"},{"key":"S0218127424501104BIB015","doi-asserted-by":"publisher","DOI":"10.1090\/qam\/950597"},{"key":"S0218127424501104BIB016","doi-asserted-by":"publisher","DOI":"10.1137\/0148012"},{"key":"S0218127424501104BIB017","first-page":"73","volume":"1","author":"Yu P.","year":"1996","journal-title":"Dyn. Stab. Syst."},{"key":"S0218127424501104BIB018","doi-asserted-by":"publisher","DOI":"10.1006\/jsvi.1998.1781"},{"key":"S0218127424501104BIB019","doi-asserted-by":"publisher","DOI":"10.1006\/jsvi.2001.3732"},{"key":"S0218127424501104BIB020","doi-asserted-by":"publisher","DOI":"10.1016\/S0020-7462(00)00023-8"},{"key":"S0218127424501104BIB021","doi-asserted-by":"publisher","DOI":"10.1023\/A:1017993026651"},{"key":"S0218127424501104BIB022","doi-asserted-by":"publisher","DOI":"10.1007\/s11012-015-0101-8"},{"key":"S0218127424501104BIB023","doi-asserted-by":"publisher","DOI":"10.1016\/j.apm.2015.11.008"},{"key":"S0218127424501104BIB024","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-016-3237-8"},{"key":"S0218127424501104BIB025","doi-asserted-by":"publisher","DOI":"10.1016\/j.jsv.2018.02.049"},{"key":"S0218127424501104BIB026","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijnonlinmec.2018.10.016"},{"key":"S0218127424501104BIB027","doi-asserted-by":"publisher","DOI":"10.1007\/s10665-022-10254-3"},{"key":"S0218127424501104BIB028","doi-asserted-by":"publisher","DOI":"10.1016\/j.enganabound.2022.04.028"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127424501104","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,7,30]],"date-time":"2024-07-30T01:57:57Z","timestamp":1722304677000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/10.1142\/S0218127424501104"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,6,29]]},"references-count":28,"journal-issue":{"issue":"09","published-print":{"date-parts":[[2024,7]]}},"alternative-id":["10.1142\/S0218127424501104"],"URL":"https:\/\/doi.org\/10.1142\/s0218127424501104","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"type":"print","value":"0218-1274"},{"type":"electronic","value":"1793-6551"}],"subject":[],"published":{"date-parts":[[2024,6,29]]},"article-number":"2450110"}}