| 一类两自由度碰振系统的胞映射计算 |
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| 引用本文： | 王艳,刘冬芳,杨黎昆,殷一首.一类两自由度碰振系统的胞映射计算[J].河北建筑科技学院学报,2012(3):95-98. |
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| 作者姓名： | 王艳 刘冬芳 杨黎昆 殷一首 |
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| 作者单位： | [1]军械工程学院基础部,河北石家庄050003 [2]军械工程学院二系,河北石家庄050003 |
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| 摘 要： | 本文对一类两自由度碰撞振动系统在一定参数条件下的全局形态进行了分析，发现系统存在多吸引共存现象。在胞映射思想的基础上，结合变步长积分法，对这种现象进行了进一步研究，求得了系统在一定分析区间内存在的周期解及其吸引域，验证了胞映射方法应用在这类系统上的有效性，为碰撞振动机械系统的动力学优化设计提供了理论依据。
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| 关 键 词： | 胞映射 吸引子 poincare截面 吸引域 |
Cell mapping computation method for a two -degree -of- freedom impact system |
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| Affiliation: | WANG Yan1 ,LIU Dong - fang1 ,YANG Li - kun2 ,YIN Yi - shou1( 1. Department of Basic Courses, Ordnance Engineering College, Hebei Shijiazhuang 050003, China 2. The 2rd Department, Ordnance Engineering College, Hebei Shijiazhuang 050003, China; ) |
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| Abstract: | The global properties of a two - degree - of - freedom impact system under certain parame- ters were studied in the thesis. This research discovered the phenomenon of coexistence of attractors. Predicated on the cell -mapping theory, further researches on this phenomenon were conducted with the method of step - changing technique. The results worked out the periodic solutions in certain in- terval analysis, as well as its attraction basin on the poincare cross section, verifying the effectiveness of the application of cell - mapping theory in this two - degree - of - freedom impact system, and pro- vide theories for optimum design of impact system of mechanics. |
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| Keywords: | cell - mapping attractor poincare cross section attraction basin |
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