| 分段线性振动机械关于外激振频率的分岔与混沌 |
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| 引用本文： | 文成秀,赵长宽,闻邦椿. 分段线性振动机械关于外激振频率的分岔与混沌[J]. 东北大学学报(自然科学版), 2001, 22(2): 200-202 |
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| 作者姓名： | 文成秀 赵长宽 闻邦椿 |
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| 作者单位： | 东北大学机械工程与自动化学院!辽宁沈阳110004;东北大学计算中心!辽宁沈阳110004;东北大学机械工程与自动化学院!辽宁沈阳110004 |
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| 基金项目： | 国家自然科学基金资助项目 !(5 96 75 0 17) |
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| 摘 要： | 利用计算机仿真及Poincare映射方法研究不对称分段线性非线性机械系统的运动学特征·研究了外激振力角频率从30rad/s以步长01rad/s增加到100rad/s时,系统的周期运动分岔和混沌运动·发现其中除了存在倍周期分岔外,还存在P1到P3的突变、P2到P1的倒分岔和P3到P1的突变·给出了全局分岔图、局部分岔图、混沌运动的Poincare映射及3种周期运动的时间历程曲线和相平面图·对于设计此类机械系统具有指导意义·
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| 关 键 词： | 非线性振动机械 周期运动分岔 混沌运动 Poincare映射 |
| 文章编号： | 1005-3026(2001)02-0200-03 |
| 修稿时间： | 2000-08-28 |
Bifurcation and Chaos on Frequencies the Excited Forces in Nonlinear Vibration Mechanism with Piece-Wise Linearity |
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| WEN Cheng xiu ,ZHAO Chang kuan ,WEN Bang chun. Bifurcation and Chaos on Frequencies the Excited Forces in Nonlinear Vibration Mechanism with Piece-Wise Linearity[J]. Journal of Northeastern University(Natural Science), 2001, 22(2): 200-202 |
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| Authors: | WEN Cheng xiu ZHAO Chang kuan WEN Bang chun |
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| Abstract: | The characteristics of motion in nonlinear vibration mechanism with piece wise linearity were analyzed by means of computer simulation and Poincare method. Bifurcation of periodic motions and chaos in the system were studied when the angular frequencies increase from change 30rad/s to 100?rad/s by steps 0 1?rad/s. There are sudden changes from P 1 to P 3,inverse bifurcation from P 2 to P 1 and sudden change from P 3 to P 1 except that double periodic bifurcation exist. The global and part bifurcation figure and Poincare mapping figure of chaos and the time history curves of 3 periodic motions were given. |
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| Keywords: | nonlinear vibration mechanism with piece wise linearity bifurcation of periodic motions chaos Poincare mapping |
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