1∶1内共振悬索的二维奇异性分析

秦朝红; 陈予恕; 李军

doi:10.3879/j.issn.1000-0887.2010.02.002

1∶1内共振悬索的二维奇异性分析

doi: 10.3879/j.issn.1000-0887.2010.02.002

哈尔滨工业大学航天学院137信箱,哈尔滨 150001

基金项目: 国家自然科学基金(重点)资助项目(10632040)

详细信息

作者简介:
秦朝红(1979- ),女,山东人,博士生(联系人.E-mail:zhh-qin@163.com).

中图分类号: O322
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- 被引次数: 0
出版历程
- 收稿日期: 1900-01-01
- 修回日期: 2010-01-06
- 刊出日期: 2010-02-15

Singularity Analysis of a Two-Dimensional Elastic Cable With 1: 1 Internal Resonance

School of Astronautics, Harbin Institute of Technology, P. O. Box 137, Harbin 150001, P. R. China

摘要

摘要: 对1∶1内共振悬索系统的二维分岔方程进行了研究．根据奇异性理论得到了3种情况下开折系统的转迁集．转迁集将整个参数空间分成了不同的保持域，得到了各个保持域上的分岔图．
- 二维分岔系统 /
- 悬索 /
- 奇异性分析
Abstract: Two-degree-of-freedom bifurcation equation s for elastic cable with 1: 1 internal resonance were investigated.The transition set of system was obtained by singularity theory for three cases.The whole parametric plane was divided into several different persistent regions by the tran sition set.The bifurcation diagrams in different persistent regions were obtained.
- two-degree-of-freedom bifurcation system /
- elastic cable /
- singularity an alysis

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参考文献(10)

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