HERTZIAN DAMPING, TOOTH FRICTION AND BENDING ELASTICITY IN GEAR IMPACT DYNAMICS
HERTZIAN DAMPING, TOOTH FRICTION AND BENDING ELASTICITY IN GEAR IMPACT DYNAMICS
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DOI：
10.1115/1.3267437
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发表时间：
1987-06-01
期刊：
影响因子：
--
通讯作者：
LIN, JY
中科院分区：
文献类型：
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作者：
YANG, DCH;LIN, JY
本文对带隙啮合齿轮的动力学进行了分析和计算机辅助研究。在Yang和Sun的旋转齿轮冲击模型的基础上，建立了考虑弯曲挠度、轴向压缩和库仑摩擦的修正模型。尽管在齿轮几何的复杂性，公式建模这些现象都是解析导出。针对该模型开发了计算机仿真包。因此，研究了齿轮冲击动力学和各考虑因素的相对重要性。结果表明：赫兹阻尼所造成的能量损失通常大于库仑摩擦所造成的能量损失，轴向压缩能与齿面弯曲能相比可以忽略不计。该模型和本研究的发现有助于理解频繁启停或间歇运动的高速齿轮传动系统的碰撞行为。
This investigation presents an analytical and computer-aided study on the dynamics of meshing gears with backlash. Based on the rotary gear impact model of Yang and Sun, a modified model with additional considerations of bending deflection, axial compression, and Coulomb friction is developed. Despite the complexity in gear geometry, formulas for modeling these phenomena are all analytically derived. A computer simulation package is developed for this model. Consequently gear impact dynamics and the relative importance among the included considerations are studied. Results show that the energy loss due to the Hertzian damping is usually larger than that from the Coulomb friction, and the axial compressive energy is negligible in comparison to tooth bending energy. It is believed that the model and the finding in this study contribute toward understanding of impact behaviors of high-speed geared systems with frequent stop-and-start or intermittent motions.