| 振动平板夯周期运动的稳定性与分岔 |
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| 引用本文： | 高溥,王娜.振动平板夯周期运动的稳定性与分岔[J].振动与冲击,2007,26(10):132-136. |
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| 作者姓名： | 高溥 王娜 |
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| 作者单位： | 兰州交通大学机电工程学院,兰州,730070 |
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| 摘 要： | 建立振动平板夯的两自由度动力学模型,采用不同的微分方程对其工作历程进行分段描述。并通过四阶Runge-Kutta法,仿真分析了其周期运动的稳定性以及通过倍周期分岔进入混沌的过程。讨论了系统参数对振动平板夯周期运动和混沌的影响,为提高振动平板夯性能设计提供了依据。
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| 关 键 词： | 振动平板夯 周期运动 倍周期分岔 混沌 |
| 修稿时间： | 2006-10-18 |
STABILITY AND BIFURCATIONS OF PERIODIC MOTIONS OF A VIBRATORY FLAT |
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| GAO Pu,WANG Na.STABILITY AND BIFURCATIONS OF PERIODIC MOTIONS OF A VIBRATORY FLAT[J].Journal of Vibration and Shock,2007,26(10):132-136. |
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| Authors: | GAO Pu WANG Na |
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| Abstract: | A two-degree of two freedom dynamic model of a vibratory flat is established and different differential equations are adopted to describe its piecewise response history. Stability of its periodic motion and its transition to chaos via doubling-periodic bifurcation are analyzed by using numerical simulation with Runge-Kutta integration method. The influences of the system parameters on its periodic motion and chaos are discussed, thus a basis is provided for enhancing performance design of the machine. |
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| Keywords: | vibratory flat periodic motion doubling-periodic bifurcation chaos |
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