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Applied Mathematics and Mechanics (English Edition) ›› 2010, Vol. 31 ›› Issue (2): 143-150.doi: https://doi.org/10.1007/s10483-010-0202-z

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Singularity analysis of a two-dimensional elastic cable with 1:1 internal resonance

秦朝红 陈予恕 李军   

  1. The School of Astronautics, Harbin Institute of Technology, Harbin 150001, P. R. China
  • 收稿日期:2009-08-04 修回日期:2010-01-06 出版日期:2010-02-01 发布日期:2010-02-01

Singularity analysis of a two-dimensional elastic cable with 1:1 internal resonance

 QIN Zhao-Hong, CHEN Yu-Shu, LI Jun   

  1. The School of Astronautics, Harbin Institute of Technology, Harbin 150001, P. R. China
  • Received:2009-08-04 Revised:2010-01-06 Online:2010-02-01 Published:2010-02-01

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1189

被引次数

22

摘要： A two-degree-of-freedom bifurcation system for an elastic cable with 1:1 internal resonance is investigated in this paper. The transition set of the system is obtained with the singularity theory for three cases. The whole parametric plane is divided into several different persistent regions by the transition set. The bifurcation diagrams in different persistent regions are obtained.

Abstract: A two-degree-of-freedom bifurcation system for an elastic cable with 1:1 internal resonance is investigated in this paper. The transition set of the system is obtained with the singularity theory for three cases. The whole parametric plane is divided into several different persistent regions by the transition set. The bifurcation diagrams in different persistent regions are obtained.

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