| 用胞映射法计算摩擦对齿轮吸引域的影响 |
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| 引用本文： | 王基,郑建华.用胞映射法计算摩擦对齿轮吸引域的影响[J].振动．测试与诊断,2011,31(3). |
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| 作者姓名： | 王基 郑建华 |
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| 作者单位： | 海军工程大学船舶与动力学院武汉,430030 |
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| 摘 要： | 针对计及摩擦的单对齿轮传动系统的时变非线性模型,应用胞映射方法对系统进行了吸引域计算,得到了在不同的摩擦系数、时变刚度和激励频率参数下系统的吸引域和全局特性,分析了这些参数变化时系统吸引子吸引域的演变规律.研究表明,系统的竞争吸引子是互相缠绕的,摩擦能改变周期运动吸引子的性态,也能降低混沌时的Lypunov指数,有利于提高系统的全局稳定性.
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| 关 键 词： | 摩擦 齿轮 非线性 胞映射 吸引域 全局特性 |
Basin of Attraction of Friction to Gear Dynamics by Cell-to-Cell Mapping Method |
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| Wang Ji,Zheng Jianhua.Basin of Attraction of Friction to Gear Dynamics by Cell-to-Cell Mapping Method[J].Journal of Vibration,Measurement & Diagnosis,2011,31(3). |
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| Authors: | Wang Ji Zheng Jianhua |
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| Affiliation: | Wang Ji,Zheng Jianhua (College of Architecture and Power,Naval University of Engineering Wuhan,430030,China) |
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| Abstract: | The basins of attraction and global characters of a time-varying nonlinear gear system are analyzed considering friction and backlash by cell-to-cell mapping method.The basins of attraction and global characters of the system are obtained on different input friction coefficients,time-varying stiffness and exciting frequencies.The evolvement trends of the attractor-basin portraits are studied when these parameters are changed.It is found that the basins of attraction are intertwisted with each other.Results ... |
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| Keywords: | friction gear nonlinearity cell-to-cell mapping basin of attraction global properties |
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