| 振动磨的周期运动稳定性与分岔 |
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| 引用本文： | 朱岩,王树林. 振动磨的周期运动稳定性与分岔[J]. 振动与冲击, 2007, 26(7): 156-158,168 |
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| 作者姓名： | 朱岩 王树林 |
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| 作者单位： | 上海理工大学,动力工程学院,上海,200093 |
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| 摘 要： | 由于碰撞的存在,振动磨系统的响应呈现出复杂的周期运动或混沌运动。本文将振动磨的模型进行简化,建立一维、两自由度、受简谐激振力作用的振动磨碰撞振动力学模型。基于Poincare映射原理,根据映射Jacobi矩阵分析振动磨周期运动的稳定性,并通过理论分析和数值仿真,研究振动磨周期运动的稳定性与分岔,以及由倍周期分岔通向混沌的过程。
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| 关 键 词： | 振动磨 稳定性 倍周期分岔 混沌 |
| 修稿时间： | 2006-09-112006-11-10 |
BIFURCATION AND PERIODIC MOTION STABILITY OF A VIBRATION MILL |
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| ZHU Yan,WANG Shu-lin. BIFURCATION AND PERIODIC MOTION STABILITY OF A VIBRATION MILL[J]. Journal of Vibration and Shock, 2007, 26(7): 156-158,168 |
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| Authors: | ZHU Yan WANG Shu-lin |
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| Abstract: | Due to existence of impact vibration,the response of a vibration mill system presents a complex periodic or chaos motion.A simplified vibration mill model is proposed,it is a two-degree-of-freedom dynamic model with a simple harmonic exciting force.Based on the theory of Poincare mapping and bifurcation,the stability of the vibration mill periodic motion is analyzed using Jacobi matrix.Its period-doubling bifurcation is simulated using theoretical analysis and numerical calculation.It is demonstrated that the system can change its behavior from period-doubling bifurcation to chaos. |
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| Keywords: | vibration mill stability period-doubling bifurcation chaos |
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