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Applied Mathematics and Mechanics >

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

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  • The School of Astronautics, Harbin Institute of Technology, Harbin 150001, P. R. China

Received date: 2009-08-04

  Revised date: 2010-01-06

  Online published: 2010-02-01

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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.

Cite this article

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) : 143 -150 . DOI: 10.1007/s10483-010-0202-z

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