PERIOD-1 TO PERIOD-2 MOTIONS IN A PERIODICALLY FORCED NONLINEAR SPRING PENDULUM

被引：0
|
作者：
Luo, Albert C. J. [1 ]
Yuan, Yaoguang [1 ]
机构：
[1] Southern Illinois Univ, Dept Mech & Ind Engn, Edwardsville, IL 62026 USA
来源：
PROCEEDINGS OF THE ASME INTERNATIONAL DESIGN ENGINEERING TECHNICAL CONFERENCES AND COMPUTERS AND INFORMATION IN ENGINEERING CONFERENCE, 2019, VOL 8 | 2020年
关键词：
CHAOS;
D O I：
暂无
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
In this paper, bifurcation trees of period-1 to period-2 motions in a periodically forced, nonlinear spring pendulum system are predicted analytically through the discrete mapping method. The stability and bifurcations of period-1 to period-2 motions on the bifurcation trees are presented as well. From the analytical prediction, numerical illustrations of period-1 and period-2 motions are completed for comparison of numerical and analytical solutions. The results presented in this paper is totally different from the traditional perturbation analysis.
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页数：8
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