Regular and Chaotic Dynamic Analysis for a Vibratically Vibrating and Rotating Elliptic Tube Containing a Particle
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概要
- 論文の詳細を見る
The paper is to present the detailed dynamic analysis of a vertically vibrating and rotating elliptic tube containing a particle. By subjecting to an external periodic excitation, it has shown that the system exhibits both regular and chaotic motions. By using the Lyapunov direct method and Chetaev's theorem, the stability and instability of the relative equilibrium position of the particle in the tube can be determined. The center manifold theorem is applied to verify the conditions of stability when system is under the critical case. The effects of the changes of parameters in the system can be found in the bifurcation and parametric diagrams. By applying various numerical results such as phase plane, Poincare map and power spectrum analysis, a variety of the periodic solutions and the phenomena of the chaotic motion can be presented. Further, chaotic behavior can be verified by using Lyapunov exponents and Lyapunov dimensions.
- 一般社団法人日本機械学会の論文
- 2001-09-15
著者
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Ge Zheng-ming
Department Of Mechanical Engineering Nation Chiao Tung University
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Lin Tsungnan
Department Of Electrical Engineering National Taiwan University:graduate Institute Of Communication
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Lin Tsungnan
Department Of Mechanical Engineering National Chiao Tung Uuniversity
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Lin Tsung-nan
Department Of Industrial Engineering And Management Chien Kuo Institute Of Technology
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GE ZhengMing
Department of Mechanical Engineering, National Chiao Tung Uuniversity
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LEU JiaHaur
Department of Mechanical Engineering, National Chiao Tung Uuniversity
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Leu Jiahaur
Department Of Mechanical Engineering National Chiao Tung Uuniversity
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Ge Zhengming
Department Of Mechanical Engineering National Chiao Tung Uuniversity
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Leu Jia--Haur
Department of Mechanical Engineering, National Chiao Tung Uuniversity
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