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The period-2 and period-4 solutions, which are emanated from the period-1 and period-2 motions, respectively, are obtained by the combined implementation of the harmonic balance method, Floquet theory, and Discrete Fourier transform (DFT). The analytical periodic solutions and their stabilities are verified through numerical simulation.<\/jats:p>","DOI":"10.1142\/s0218127414501594","type":"journal-article","created":{"date-parts":[[2015,1,5]],"date-time":"2015-01-05T06:43:47Z","timestamp":1420440227000},"page":"1450159","source":"Crossref","is-referenced-by-count":5,"title":["Period Doubling Motions of a Nonlinear Rotating Beam at 1:1 Resonance"],"prefix":"10.1142","volume":"24","author":[{"given":"Fengxia","family":"Wang","sequence":"first","affiliation":[{"name":"Mechanical and Industrial Engineering, Southern Illinois University Edwardsville, Edwardsville, IL 62026-1805, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yuhui","family":"Qu","sequence":"additional","affiliation":[{"name":"Mechanical and Industrial Engineering, Southern Illinois University Edwardsville, Edwardsville, IL 62026-1805, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2015,1,4]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1109\/59.141738"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-61257-2"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1006\/jsvi.2002.5287"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1016\/0020-7462(75)90014-1"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1016\/0022-460X(86)90149-5"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1115\/1.3176036"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1016\/0013-7944(94)00226-8"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1006\/jsvi.1998.1922"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1002\/nme.1620370106"},{"key":"rf10","volume-title":"Dynamics of Structures. 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