| 含间隙齿轮传动系统的非线性动力学特性的研究 |
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| 引用本文： | 张晨旭,杨晓东,张伟.含间隙齿轮传动系统的非线性动力学特性的研究[J].动力学与控制学报,2016,14(2):115-121. |
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| 作者姓名： | 张晨旭 杨晓东 张伟 |
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| 作者单位： | 北京工业大学,北京,100124 |
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| 基金项目： | 国家自然科学基金资助项目(12345678)、国家重点基础研究发展计划(973)资助项目(9876543) |
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| 摘 要： | 含间隙齿轮传动系统存在着丰富的非线性动力学行为,建立了两自由度齿轮传动系统的动力学模型,首先利用数值方法分析了齿轮传动系统的分岔和混沌动力学行为,然后将非光滑的间隙函数用光滑函数拟合,通过对系统进行多尺度摄动分析和计算,得到间隙函数拟合后的齿轮传动系统的非线性动力学现象,并与无拟合非光滑系统的数值结果进行比较分析,为含间隙齿轮传动系统的研究奠定了基础.
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| 关 键 词： | 间隙 非光滑 分岔 |
| 收稿时间： | 2015/1/22 0:00:00 |
| 修稿时间： | 2015/2/16 0:00:00 |
Study on non-linear dynamics of gear transmission system with clearance |
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| Zhang Chenxu,Yang Xiaodong and Zhang Wei.Study on non-linear dynamics of gear transmission system with clearance[J].Journal of Dynamics and Control,2016,14(2):115-121. |
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| Authors: | Zhang Chenxu Yang Xiaodong and Zhang Wei |
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| Abstract: | As the gear transmission system with clearance responses in a way of abundant nonlinear dynamics, this paper establishes a dynamic model of two degree of freedom gear transmission system. Firstly, the bifurcation of the gear transmission system and the chaotic dynamic behavior using the numerical method is investigated, and the nonsmooth function is then fitted with the smooth function. Moreover, nonlinear dynamic phenomenon of gear transmission system with fitted clearance function is achieved using multi scale perturbation. Eventually, the results are compared with that of nonsmooth system without numerical fitting, which also provides essential data for the future research of gear transmission system with a clearance. |
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| Keywords: | clearance nonsmooth bifurcation |
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