| 小型振动冲击式打桩机的周期运动和分岔 |
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| 引用本文： | 罗冠炜,俞建宁,尧辉明,褚衍东.小型振动冲击式打桩机的周期运动和分岔[J].工程力学,2006,23(7):105-113,129. |
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| 作者姓名： | 罗冠炜 俞建宁 尧辉明 褚衍东 |
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| 作者单位： | 兰州交通大学数理与软件工程学院,甘肃,兰州,730070 |
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| 基金项目： | 国家高技术研究发展计划(863计划);国家自然科学基金 |
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| 摘 要： | 用三维映射表示小型振动冲击式打桩机的动力学方程。借助理论分析与数值方法研究了小型振动冲击式打桩机周期n单冲击运动的存在性与稳定性,描述了周期n单冲击运动的特点,讨论了激振器与桩体擦边接触引起的Poincaré映射奇异性对小型振动冲击式打桩机周期运动与分岔的影响。通过数值仿真分析了两类周期n单冲击运动的转迁及混沌运动的形成过程。
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| 关 键 词： | 冲击 振动 周期运动 分岔 奇异性 |
| 文章编号： | 1000-4750（2006）07-0105-09 |
| 收稿时间： | 2004-09-04 |
| 修稿时间： | 2004-09-042005-09-25 |
PERIODIC MOTIONS AND BIFURCATIONS OF A SMALL VIBRO-IMPACT PILE DRIVER |
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| LUO Guan-wei,YU Jian-ning,YAO Hui-ming,CHU Yan-dong.PERIODIC MOTIONS AND BIFURCATIONS OF A SMALL VIBRO-IMPACT PILE DRIVER[J].Engineering Mechanics,2006,23(7):105-113,129. |
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| Authors: | LUO Guan-wei YU Jian-ning YAO Hui-ming CHU Yan-dong |
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| Abstract: | Dynamics of a small vibro-impact pile driver is represented using three-dimensional mapping,which is of piecewise property and singularities.Existence and stability of period-n single-impact motions of the pile driver are analyzed by theoretical and numerical methods,and the characteristic of period-n single-impact motions is described.The singularity of the Poincaré mapping,caused by the grazing contact of driver and pile,is considered.The influence of singularities on global bifurcations and transitions to chaos is elucidated.These transitions are not regular bifurcations but arise from piecewise property and singularity of the impact mapping.Transitions of two kinds of period-n single-impact motions and routes to chaos are analyzed by numerical simulation. |
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| Keywords: | impact vibration periodic motion bifurcation singularity |
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