遗传算法下弧齿锥齿轮齿面接触特性优化

姜志宏; 王兴卫; 池汉佳; 赵小涛

doi:10.13433/j.cnki.1003-8728.20200365

遗传算法下弧齿锥齿轮齿面接触特性优化

doi: 10.13433/j.cnki.1003-8728.20200365

江西理工大学机电工程学院, 江西赣州　341000

基金项目: 国家自然科学基金项目（51464017）与江西省重点科研项目（20181ACE50034）

详细信息

作者简介:
姜志宏（1977−），副教授，硕士生导师，研究方向为机械系统动力学、智能装备等，272235681@qq.com

中图分类号: TH132.417
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- 文章访问数: 115
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- PDF下载量: 5
- 被引次数: 0
出版历程
- 收稿日期: 2020-08-09
- 刊出日期: 2022-05-11

Optimization of Tooth Surface Contact Characteristics of Spiral Bevel Gears by Genetic Algorithm

School of Mechanical and Electrical Engineering, Jiangxi University of Science and Technology, Ganzhou 341000, Jiangxi, China

摘要

摘要: 针对传统的齿面接触分析技术存在机床调整参数繁多、控制目标不明确和不包含传动误差优化等问题，提出以瞬时接触椭圆长半轴、接触迹线方向角及传动误差曲线交叉点纵坐标为优化目标，沿齿高方向的法曲率、沿齿长方向的法曲率以及短程挠率为控制参数，基于遗传算法的弧齿锥齿轮齿面接触区和传动误差曲线的全局优化算法具有良好的收敛性。分析了扭矩载荷对齿面接触区和传动误差的影响，用优化后的弧齿锥齿轮副有限元模型对其啮合特性进行分析，其结果验证优化方法的正确性。
- 齿面接触区 /
- 传动误差 /
- 遗传算法 /
- 有限元模型
Abstract: The traditional tooth surface contact analysis technology has many disadvantages such as numerous adjustment parameters of the machine tool, unclear control objectives and no transmission error optimization. Aiming at the above problems, a global optimization algorithm based on genetic algorithm for the contact area of the spiral bevel gear tooth surface and transmission error curve is proposed, in which taking the instantaneous contact ellipse semi-major axis, the contact trace direction angle and the ordinate of the transmission error curve intersection point as the optimization targets, the normal curvature along the tooth height direction, the normal curvature along the tooth length direction and the short-range deflection as control parameters. The optimization result can reach the expected optimization goal, and the algorithm has good convergence. In addition, the optimized finite element model of the spiral bevel gear pair is established, and its meshing characteristics are analyzed. The results again verify the correctness of the optimization method, and the influence of the torque load on the tooth surface contact area and transmission error is analyzed.
- tooth contact area /
- transmission error /
- genetic algotithm /
- finite element modle

HTML全文

图 1 接触点位置

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图 2 齿面接触区域和传动误差曲线优化方程的求解过程

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图 3 基于遗传算法的齿面接触区及传动误差曲线优化结果

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图 4 摆辗机弧齿锥齿轮简化模型图

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图 5 小轮接触齿面局部网格细化

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图 6 负载情况下大轮凸面接触区

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图 7 负载情况下齿轮传动的传动误差曲线及瞬时传动比

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表 1 优化后小轮机床加工参数修正量

参数名	小轮凸面	小轮凹面
刀盘半径$ \Delta {r_{0P}} $/mm	−0.8849	0.8385
刀盘压力角$ \Delta {\alpha '_P} $/（°）	2.1312	−1.9527
刀顶距$ \Delta {U_P} $/mm	−	−
径向刀位$ \Delta {V_P} $/mm	2.0619	−2.1729
角向刀位$ \Delta {q_P} $/（°）	−0.5621	0.4975
机床滚比$ \Delta {i_P} $	0.1129	−0.0109
床位$ \Delta Y{B_P} $/mm	0.2037	−0.0826
轴向轮位$ \Delta {Y_P} $/mm	2.65	−2.6435
垂直轮位$ \Delta {F_P} $/mm	2.54	−2.54
轮坯安装角$ \Delta {\Gamma _{MP}} $/（°）	0.1731	−
刀倾角$ \Delta i $/（°）	0.5234	−0.1831
刀转角$ \Delta j $/（°）	0.2893	−0.57

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参考文献(15)

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