| FUNDAMENTAL AREAS OF PHENOMENOLOGY(INCLUDING APPLICATIONS) |
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Analysis of High Codimensional Bifurcation and Chaos for the Quad Bundle Conductor's Galloping |
LIU Fu-Hao, ZHANG Qi-Chang, TAN Ying |
| Department of Mechanics, School of Mechanical Engineering,Tianjin University, Tianjin 300072State of Key Laboratory of Engines, Tianjin University, Tianjin 300072 |
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| Cite this article: |
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LIU Fu-Hao, ZHANG Qi-Chang, TAN Ying 2010 Chin. Phys. Lett. 27 044702 |
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Abstract A two-degree-of-freedom model of iced, electrical quad bundle conductor is developed to comprehensively describe the different galloping behaviors observed. By applying centre manifold and invertible linear transformation, the co-dimension-2 bifurcation is analyzed. The relationships of parameters between this system and the original system are obtained to analyze and to control the galloping of the quad iced bundle conductor. The space trajectory, Lyapunov exponent and Lyapunov dimension are investigated via numerical simulation to present a rigorous proof of existence of chaos.
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| Keywords:
47.20.Ky
82.40.Bj
02.30.Hq
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Received: 29 October 2009
Published: 27 March 2010
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| PACS: |
47.20.Ky
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(Nonlinearity, bifurcation, and symmetry breaking)
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82.40.Bj
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(Oscillations, chaos, and bifurcations)
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02.30.Hq
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(Ordinary differential equations)
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