Optimization of Profile Modifications With Regard to Dynamic Tooth Loads in Single and Double-Helical Planetary Gears With Flexible Ring-Gears
Optimization of Profile Modifications With Regard to Dynamic Tooth Loads in Single and Double-Helical Planetary Gears With Flexible Ring-Gears
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DOI：
10.1115/1.4031939
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发表时间：
2016-02
影响因子：
3.3
通讯作者：
M. Chapron;P. Velex;J. Bruyere;S. Becquerelle
中科院分区：
文献类型：
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作者：
M. Chapron;P. Velex;J. Bruyere;S. Becquerelle
本文主要研究考虑动态啮合力的行星齿轮最佳修形问题。为此，提出了一种基于三维两节点齿轮单元连接到可变形的环形齿轮离散成梁单元的动力学模型。双斜齿轮被模拟为两个相反的齿轮元件，这是由轴元件连接。外齿轮和内齿轮啮合上的对称齿顶离隙被引入为沿接触线的时变法向偏差沿着，并且时变啮合刚度函数被推导出来自于Schinckler基础模型。运动方程的求解采用Newmark时间步长积分法和接触算法相结合的方法，以考虑可能的部分或全部接触损失。采用遗传算法对螺旋和双螺旋PGT的对称线性永磁机构进行优化，其目标是在一定的速度范围内最小化动态齿载荷。最后，分析了这些最优永磁同步电机对转速和负载的灵敏度。
This paper is mostly aimed at analyzing optimum profile modifications (PMs) in planetary gears (PGTs) with regard to dynamic mesh forces. To this end, a dynamic model is presented based on 3D two-node gear elements connected to deformable ring-gears discretized into beam elements. Double-helical gears are simulated as two gear elements of opposite hands which are linked by shaft elements. Symmetric tip relief on external and internal gear meshes are introduced as time-varying normal deviations along the lines of contact and time-varying mesh stiffness functions are deduced from Wrinckler foundation models. The equations of motion are solved by coupling a Newmark time-step integration scheme and a contact algo-rithm to account for possible partial or total contact losses. Symmetric linear PMs for helical and double-helical PGTs are optimized by using a genetic algorithm with the objective of minimizing dynamic tooth loads over a speed range. Finally, the sensitivity of these optimum PMs to speed and load is analyzed.