| 引用本文: | 张立杰,潘存云,李婷,等.渐开线环形齿球齿轮传动时变刚度系数.[J].国防科技大学学报,2009,31(2):116-120.[点击复制] |
| ZHANG Lijie,PAN Cunyun,LI Ting,et al.Time-variable-stiffness in Involute Ring Tooth Spherical Gear Transmission[J].Journal of National University of Defense Technology,2009,31(2):116-120[点击复制] |
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| 渐开线环形齿球齿轮传动时变刚度系数 |
| 张立杰, 潘存云, 李婷, 李常义 |
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(国防科技大学 机电工程与自动化学院，湖南 长沙 410073)
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| 摘要: |
| 为研究渐开线环形齿球齿轮传动过程中齿轮副间的接触力，基于Hertz弹性接触理论定义了齿面接触点的刚度系数；利用微分几何相关知识，分析了球齿轮的齿面特征，得到了实时啮合点主曲率半径计算公式；研究了重合度系数对啮合刚度的影响，结合球齿轮机构传动特点，推导出任意位置反向啮合点位置计算公式；最后通过一个实例说明球齿轮机构接触点刚度系数具有典型的时变特征。 |
| 关键词: 渐开线环形齿球齿轮 接触 时变 刚度系数 |
| DOI： |
| 投稿日期：2008-07-09 |
| 基金项目:国家自然科学基金资助项目(50475058)；国家863计划资助项目(2006AA09Z235) |
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| Time-variable-stiffness in Involute Ring Tooth Spherical Gear Transmission |
| ZHANG Lijie, PAN Cunyun, LI Ting, LI Changyi |
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(College of Mechatronics Engineering and Automation, National Univ. of Defense Technology, Changsha 410073, China)
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| Abstract: |
| The stiffness coefficient on the contact point of the gear pairs is defined based on the Hertz Elastic Contact Theory, which can be used to calculate the meshing force of the gear pairs. Then, the characteristics of the working flanks of the involute ring tooth spherical gear are analyzed and the equations to calculate the master curvature radius are derived. Afterwards, the contact ratio, a key factor in the calculation of the stiffness coefficient, is studied and the method on how to find the position of inverse meshing point is given. Finally, the result of an example is presented to demonstrate the time-variable characteristic of the stiffness coefficient in spherical gears transmission. |
| Keywords: the involute ring tooth spherical gear meshing time-variable the stiffness coefficient |
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