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Motion of a heavy bead along a circular hoop rotating around an inclined axis
International Journal of Non-Linear Mechanics ( IF 3.2 ) Pub Date : 2021-08-12 , DOI: 10.1016/j.ijnonlinmec.2021.103791
Alexander A. Burov 1 , Vasily I. Nikonov 1
Affiliation  

The motion of a heavy bead on a smooth ring is considered. The ring is rotating uniformly around an inclined diameter. The integrability of the equations is studied using the method of splitting separatrices. The Poincaré maps for the period are constructed. Some classes of periodic motion are identified, and their stability is investigated. The reaction is calculated, and its properties are discussed.



中文翻译:

重珠沿绕倾斜轴旋转的圆环的运动

考虑重珠在光滑环上的运动。环围绕倾斜的直径均匀旋转。方程的可积性是用分裂分离的方法研究的。构建了该时期的庞加莱地图。确定了某些类别的周期性运动,并研究了它们的稳定性。计算反应并讨论其性质。

更新日期:2021-08-26
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