Distribution, stability, bifurcations and catastrophe of steady rotation of a symmetrical heavy gyroscope with viscous-liquid-filled cavity
文献类型：期刊论文
| 作者 | Zhu RC(朱如曾)
|
| 刊名 | International Journal of Non-Linear Mechanics
 |
| 出版日期 | 1992 |
| 卷号 | 27期号:3页码:477-488 |
| ISSN号 | 0020-7462 |
| 通讯作者 | ZHU, RZ (reprint author), CHINESE ACAD SCI,INST MECH,NON LINEAR MECH CONTINUOUS MEDIA LAB,BEIJING,PEOPLES R CHINA. |
| 中文摘要 | 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. |
| 类目[WOS] | Mechanics |
| 研究领域[WOS] | Mechanics |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:A1992HW24200014 |
| 公开日期 | 2009-08-03 ; 2010-08-20 |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/39472]  |
| 专题 | 力学研究所_力学所知识产出(1956-2008) |
| 推荐引用方式 GB/T 7714 | Zhu RC. 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.(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."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. |
入库方式： OAI收割
来源：力学研究所
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。