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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QIN Zhao-Hong, CHEN Yu-Shu, LI Jun
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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.
2010 MSC Number:
37G15
QIN Zhao-Hong;CHEN Yu-Shu;LI Jun. Singularity analysis of a two-dimensional elastic cable with 1:1 internal resonance. Applied Mathematics and Mechanics (English Edition), 2010, 31(2): 143-150.
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URL: https://www.amm.shu.edu.cn/EN/10.1007/s10483-010-0202-z
https://www.amm.shu.edu.cn/EN/Y2010/V31/I2/143
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