Modeling and analysis of a spur gear pair considering multi-state mesh with time-varying parameters and backlash
Modeling and analysis of a spur gear pair considering multi-state mesh with time-varying parameters and backlash
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DOI：
10.1016/j.mechmachtheory.2019.01.018
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发表时间：
2019-04
影响因子：
5.2
通讯作者：
Jianfei Shi;Xiang-feng Gou;Lingyun Zhu
中科院分区：
文献类型：
--
作者：
Jianfei Shi;Xiang-feng Gou;Lingyun Zhu
在轻负荷齿轮传动中，齿隙引起的偏差可能会导致齿分离和后侧啮合。考虑了齿间距和后齿啮合的影响。根据齿轮传动原理和作用在齿上的力，建立了多状态啮合条件下的直齿圆柱齿轮副的动力学模型。该模型考虑了时变啮合刚度、时变摩擦力、载荷分布、综合传动误差和间隙等因素。数值分析了不同啮合状态下系统动态啮合力的变化。动态啮合力对系统的啮合状态影响很大。通过定义三种不同的Poincaré映射，利用分叉图、顶李雅普诺夫指数图(TLE)和相图，研究了载荷、间隙和综合传动误差对系统啮合状态和冲击振动特性的影响。结果表明，随着载荷的减小或综合误差的增大，逐渐出现传动侧碰撞、脱齿、背部碰撞等复杂现象。然而，随着反弹的增加，这些现象总是存在的。该研究为齿轮的优化设计提供了理论参考。
Backlash-induced variations may lead to teeth separation and back-side tooth mesh in lightly loaded geared drive. Effects of teeth separation and back-side tooth mesh are considered. The dynamic model of a spur gear pair under multi-state meshing conditions such as teeth separation, drive- and back-side tooth mesh is established based on the gear transmission principle and forces acting on teeth. Time-varying meshing stiffness, time-varying friction, load distribution, comprehensive transmission error and backlash are included in the model. Variations of the dynamic meshing force of the system under different meshing states are analyzed numerically. The dynamic meshing force affects the meshing state of the system significantly. Furthermore, the effects of load, backlash and comprehensive transmission error on meshing states and vibro-impact properties of the system are studied by defining three different Poincaré maps, where bifurcation diagrams, top Lyapunov exponent diagrams (TLE), phase portraits are used. Results indicate that the complicated phenomena such as drive-side impact, teeth separation and back-side impact gradually occur with the decrease of the load or the increase of the comprehensive error. However, these phenomena always exist with the increase in backlash. This study provides a theoretical reference for the optimization of gears.