{"title":"非线性弹簧摆的周期3和周期6运动","authors":"Yu Guo, A. Luo","doi":"10.1115/imece2022-96427","DOIUrl":null,"url":null,"abstract":"\n In this paper, symmetric period-3 motions and pairs of asymmetric period-3 and period-6 motions in a periodically excited nonlinear spring pendulum system are determined semi-analytically through the implicit map method. Numerical and analytical results are illustrated for verification. The time histories of displacements and velocities are illustrated for each periodic motions; and the corresponding trajectories in phase plane are also presented.","PeriodicalId":302047,"journal":{"name":"Volume 5: Dynamics, Vibration, and Control","volume":"10 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Period-3 and Period-6 Motions in a Nonlinear Spring Pendulum\",\"authors\":\"Yu Guo, A. Luo\",\"doi\":\"10.1115/imece2022-96427\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"\\n In this paper, symmetric period-3 motions and pairs of asymmetric period-3 and period-6 motions in a periodically excited nonlinear spring pendulum system are determined semi-analytically through the implicit map method. Numerical and analytical results are illustrated for verification. The time histories of displacements and velocities are illustrated for each periodic motions; and the corresponding trajectories in phase plane are also presented.\",\"PeriodicalId\":302047,\"journal\":{\"name\":\"Volume 5: Dynamics, Vibration, and Control\",\"volume\":\"10 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-10-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Volume 5: Dynamics, Vibration, and Control\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1115/imece2022-96427\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Volume 5: Dynamics, Vibration, and Control","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1115/imece2022-96427","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Period-3 and Period-6 Motions in a Nonlinear Spring Pendulum
In this paper, symmetric period-3 motions and pairs of asymmetric period-3 and period-6 motions in a periodically excited nonlinear spring pendulum system are determined semi-analytically through the implicit map method. Numerical and analytical results are illustrated for verification. The time histories of displacements and velocities are illustrated for each periodic motions; and the corresponding trajectories in phase plane are also presented.
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