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

QIN Zhao-hong; CHEN Yu-shu; LI Jun

doi:10.3879/j.issn.1000-0887.2010.02.002

Volume 31 Issue 2

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QIN Zhao-hong, CHEN Yu-shu, LI Jun. Singularity Analysis of a Two-Dimensional Elastic Cable With 1: 1 Internal Resonance[J]. Applied Mathematics and Mechanics, 2010, 31(2): 134-142. doi: 10.3879/j.issn.1000-0887.2010.02.002

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

doi: 10.3879/j.issn.1000-0887.2010.02.002

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

Received Date: 1900-01-01
Rev Recd Date: 2010-01-06
Publish Date: 2010-02-15

Abstract

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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References(10)

References

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