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论文:2016,Vol:34,Issue(5):893-899 |
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引用本文： |
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林何, 王三民, 董金城. 内、外啮合刚度激励下人字齿行星齿轮传动振动特性[J]. 西北工业大学学报 |
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Lin He, Wang Sanmin, Dong Jincheng. Vibration Characteristics of Herringbone Planetary Gear Train with Internal and External Meshing Stiffness Excitation[J]. Northwestern polytechnical university |
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| 内、外啮合刚度激励下人字齿行星齿轮传动振动特性 |
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| 林何, 王三民, 董金城 |
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| 西北工业大学 机电学院, 陕西 西安 710072 |
| 摘要: |
| 人字齿行星传动中的内、外啮合时变刚度是造成齿轮传动振动的主要激励源。根据轮齿啮合接触原理推导了人字齿行星齿轮啮合传动的时变刚度动态梯形图，得到了内、外啮合刚度的分布规律，二者不具有时间同步性。采用集中质量法建立了人字齿行星齿轮传动的扭转非线性动力学模型，在欧拉型积分和牛顿迭代法等数值方法基础上对系统的非线性振动方程组进行了求解，结果显示内啮合在多个转速区域出现显著振动，最大振幅发生在转速5 900 r/min处，外啮合动载特性较为稳定，均载系数为K=1.38。借助相图、Poincaré映射、FFT频谱分析等手段对系统拟周期振动特性进行分析，表明振动吸引子在相空间中发生扭曲翻转形成封闭超环面，频域则由多个离散次谐波响应构成。 |
| 关键词:
时变啮合刚度
人字齿行星齿轮
欧拉型积分
拟周期振动
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| Vibration Characteristics of Herringbone Planetary Gear Train with Internal and External Meshing Stiffness Excitation |
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| Lin He, Wang Sanmin, Dong Jincheng |
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| School of Mechanical Engineering, Northwestern Polytechnical University, Xi'an 710072, China |
| Abstract: |
| Internal and external time-varying meshing stiffnesses are the primary excitations which result in unstability in herringbone planetary gear train. Based upon meshing principle, the dynamical trapezoidal wave of meshing stiffness is performed with respect to variation movement of tooth contact areas, the behaviors of the meshing stiffness are exhibited, where both of them are independent and asynchronous along the times. The torsional nonlinear dynamical model including backlash are built by utilizing lumped-mass method, The governing equations are investigated by means of Euler integral as well as Newton iteration algorithm, the analytical solutions demonstrate that internal mesh indicates significant perturbations at some rotational speeds, the maximum vibration displacement takes place at 5 900 r/min, the external mesh movement is more stable with the mean dynamical coefficient at K=1.38. In conjunction with the phase portrait, Poincaré maps and FFT spectral analysis, the quasi-periodic vibration is studied with the conclusion that the attractors in state space warps and flips forming a close hypertorus toroidal surface, the frequency spectrum consists of quantities of independent sub harmonic frequencies. |
| Key words:
time-varying meshing stiffness
herringbone planetary gear train
Euler integral
quasi-periodic vibration
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| 收稿日期: 2016-04-05
修回日期:
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| DOI: |
| 基金项目: 高新技术研究计划（2009AA04Z404）资助 |
| 通讯作者:
Email： |
| 作者简介: 林何(1985-),西北工业大学博士研究生,主要从事齿轮非线性全局动力学研究。
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| 作者相关文章 |
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| 林何 在本刊中的所有文章 |
| 王三民 在本刊中的所有文章 |
| 董金城 在本刊中的所有文章 |
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