| 二端面弹性转轴相对转动动力学模型研究 |
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| 引用本文： | 王坤,鲁立刚. 二端面弹性转轴相对转动动力学模型研究[J]. 浙江大学学报(理学版), 2009, 36(2): 153-156. DOI: 10.3785/j.issn.1008-9497.2009.02.009 |
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| 作者姓名： | 王坤 鲁立刚 |
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| 作者单位： | 1. 燕山大学,理学院,河北,秦皇岛,066004
2. 浙江万里学院,浙江,宁波,315016 |
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| 摘 要： | 建立了二端面弹性转轴系统相对转动的非线性微分方程模型．对自治系统（二端面等力矩系统）进行了定量分析，证明了方程在一定条件下存在调和解，用数值方法，分析了系统的倍周期分岔现象．
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| 关 键 词： | 二端面弹性转轴 非线性动力学方程 调和解 |
Research on the dynamic model of an elastic rotation shaft with two end faces in relation rotation |
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| WANG Kun,LU Li-gang. Research on the dynamic model of an elastic rotation shaft with two end faces in relation rotation[J]. Journal of Zhejiang University(Sciences Edition), 2009, 36(2): 153-156. DOI: 10.3785/j.issn.1008-9497.2009.02.009 |
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| Authors: | WANG Kun LU Li-gang |
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| Affiliation: | 1. College of Science;Yanshan University;Qinhuangdao 066004;Hebei Province;China;2. Zhejiang Wanli University;Ningbo 315016;Zhejiang Province;China |
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| Abstract: | A nonlinear dynamic equation of an elastic rotation shaft with two end faces in relation rotation is built. Firstly, by applying the method of quantitative analysis the autonomous system is analyzed. Seconndly, for a certain conditions, the existence of harmonic solution of equation is proved. Finally, applying the numerical method, the period doubling bifurcation of system is analyzed. |
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| Keywords: | twin side elastic shaft nonlinear dynamic equation harmonic solution |
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