Distribution, stability, bifurcations and catastrophe of steady rotation of a symmetrical heavy gyroscope with viscous-liquid-filled cavity

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	Distribution, stability, bifurcations and catastrophe of steady rotation of a symmetrical heavy gyroscope with viscous-liquid-filled cavity
	Zhu RC(朱如曾); ZHU, RZ (reprint author), CHINESE ACAD SCI,INST MECH,NON LINEAR MECH CONTINUOUS MEDIA LAB,BEIJING,PEOPLES R CHINA.
发表期刊	International Journal of Non-Linear Mechanics
	1992
卷号	27 期号:3 页码:477-488
ISSN	0020-7462
摘要	The number, the angles of orientation and the stability in Rumyantsev Movchan's sense of oblique steady rotations of a symmetric heavy gyroscope with a cavity completely filled with a uniform viscous liquid, possessing a fixed point 0 on its symmetric axis. are given for various values of the parameters. By taking the square of the upright component of the angular momentum M2 as a control parameter, three types of bifurcation diagrams of the steady rotations, two types of jumps and two kinds of local catastrophes, one being the symmetric reduced cusp type and the other being of the symmetric reduced butterfly type, are obtained. By taking account of the M2-damping owing to the moment of unavoidable faint friction, two different modes for the gyroscope, initially in a stable quasi-steady upright rotation with a nutation angle theta(s) equal to zero, to topple over are found.
收录类别	SCI
语种	英语
WOS记录号	WOS:A1992HW24200014
WOS研究方向	Mechanics
WOS类目	Mechanics
引用统计	被引频次：1[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://dspace.imech.ac.cn/handle/311007/39472
专题	力学所知识产出(1956-2008)
通讯作者	ZHU, RZ (reprint author), CHINESE ACAD SCI,INST MECH,NON LINEAR MECH CONTINUOUS MEDIA LAB,BEIJING,PEOPLES R CHINA.
推荐引用方式 GB/T 7714	Zhu RC,ZHU, RZ . Distribution, stability, bifurcations and catastrophe of steady rotation of a symmetrical heavy gyroscope with viscous-liquid-filled cavity[J]. International Journal of Non-Linear Mechanics,1992,27,3,:477-488.
APA	朱如曾,&ZHU, RZ .(1992).Distribution, stability, bifurcations and catastrophe of steady rotation of a symmetrical heavy gyroscope with viscous-liquid-filled cavity.International Journal of Non-Linear Mechanics,27(3),477-488.
MLA	朱如曾,et al."Distribution, stability, bifurcations and catastrophe of steady rotation of a symmetrical heavy gyroscope with viscous-liquid-filled cavity".International Journal of Non-Linear Mechanics 27.3(1992):477-488.

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