| 基于增量谐波平衡法的齿轮系统非线性动力学 |
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| 引用本文： | 杨绍普,申永军,刘献栋.基于增量谐波平衡法的齿轮系统非线性动力学[J].振动与冲击,2005,24(3):40-42,95,i004. |
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| 作者姓名： | 杨绍普 申永军 刘献栋 |
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| 作者单位： | 1. 石家庄铁道学院,石家庄,050043
2. 北京航空航天大学,北京,100083 |
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| 基金项目： | 国家自然科学基金，河北省教育厅博士基金资助项目 |
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| 摘 要： | 利用增量谐波平衡法研究了一类考虑时变啮合刚度和间隙的直齿轮副的非线性动力学,建立了这类模型的解的统一形式。同时研究了系统的分岔特性以及阻尼比、外激励幅值对系统幅频曲线的影响。利用本文结果可以得到任意精度的近似解,从而可以更好地分析和控制齿轮系统的动力学。最后,指出了其它文献中未注意到的问题。
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| 关 键 词： | 齿轮 增量谐波平衡法 非线性动力学 间隙 分岔 |
Nonlinear Dynamics of Gear System Based on Incremental Harmonic Balance Method |
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| Yang Shaopu,Shen Yongjun,Liu Xiandong.Nonlinear Dynamics of Gear System Based on Incremental Harmonic Balance Method[J].Journal of Vibration and Shock,2005,24(3):40-42,95,i004. |
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| Authors: | Yang Shaopu Shen Yongjun Liu Xiandong |
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| Affiliation: | Yang Shaopu1 Shen Yongjun1 Liu Xiandong2 |
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| Abstract: | Nonlinear dynamics of a spur gear pair is researched based on Incremental Harmonic Balance Method(IHBM), where the timevarying stiffness and backlash are included. The general forms of periodic solutions are established. Then the bifurcation of the system is investigated by IHBM, and the effects of damping ratio and magnitude of excitation on the response are also analyzed. Based on the results presented in the paper the solution with arbitrary accuracy could be obtained easily, which is useful to analyze and/or control the dynamic behaviors of gear system. At last some problems ignored in other references are pointed out. |
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| Keywords: | gear incremental harmonic balance method nonliear dynamics backlash bifurcation |
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