| 冲击振动落砂机的周期运动稳定性与分叉 |
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| 引用本文： | 罗冠炜,谢建华. 冲击振动落砂机的周期运动稳定性与分叉[J]. 机械工程学报, 2003, 39(1): 74-78 |
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| 作者姓名： | 罗冠炜 谢建华 |
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| 作者单位： | 1. 兰州铁道学院机械工程系,兰州,730070
2. 西南交通大学 |
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| 基金项目： | 国家自然科学基金(10172042)，教育部博士点基金(20010613001)资助项目。 |
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| 摘 要： | 通过理论分析和数值仿真,研究了冲击振动落砂机周期运动的稳定性与局部分叉,揭示了冲击振动落砂机周期运动经概周期分叉和倍周期分叉向混沌的演化过程。周期运动的稳定性与分叉研究可以为冲击振动落砂机的动力学优化设计提供理论依据。
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| 关 键 词： | 碰撞 振动 落砂机 映射 周期运动 分叉 混沌 |
| 修稿时间： | 2001-02-15 |
STABILITY AND BIFURCATION OF PERIODIC MOTIONS OF THE INERTIAL SHAKERS |
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| Luo Guanwei. STABILITY AND BIFURCATION OF PERIODIC MOTIONS OF THE INERTIAL SHAKERS[J]. Chinese Journal of Mechanical Engineering, 2003, 39(1): 74-78 |
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| Authors: | Luo Guanwei |
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| Affiliation: | Luo Guanwei (Lanzhou Railway Institute)Xie Jianhua (Southwest Jiaotong University) |
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| Abstract: | Stability and local bifurcation of two kinds of inertial shakers are investigated by theoretical analysis and numerical simulations. It is demonstrated that the system can exhibit chaotic behaviour via Hopf bifurcation or doubling-periodic bifurcation of periodic impact motion. Routes from Hopf bifurcation and doubling-periodic bifurcations of periodic impact motion to chaos are discussed. The system parameters of shaker may be optimized by studying of stability and bifurcation of periodic impact motion of shaker. |
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| Keywords: | Vibro-impact Vibration Shaker Map Periodic motion Bifurcation Chaos |
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