空间轴交角人字行星齿轮系统动态特性研究

doi:10.3901/JME.2023.01.141

机械工程学报 ›› 2023, Vol. 59 ›› Issue (1): 141-150.doi: 10.3901/JME.2023.01.141

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空间轴交角人字行星齿轮系统动态特性研究

徐向阳¹, 李龙¹, 任博¹, 朱才朝²

1. 重庆交通大学机电与车辆工程学院重庆 400074;
2. 重庆大学机械传动国家重点实验室重庆 400044

收稿日期:2021-12-16 修回日期:2022-09-15 出版日期:2023-01-05 发布日期:2023-03-30
通讯作者: 徐向阳(通信作者),男,1981年出生,博士,教授,博士研究生导师。主要研究方向为齿轮传动系统动力学。E-mail:xuxa@cqjtu.edu.cn
基金资助:
国家自然科学基金（51975078），重庆市自然科学基金杰出青年基金（cstc2021jcyj-jqX0010），重庆英才青年拔尖人才（CQYC201905083）资助项目。

Study on the Dynamic Characteristics of Herringbone Planetary Gear System with Space Shafts Angle

XU Xiangyang¹, LI Long¹, REN Bo¹, ZHU Caichao²

1. School of Mechatronics and Vehicle Engineering, Chongqing Jiaotong University, Chongqing 400074;
2. The State Key Laboratory of Mechanical Transmissions, Chongqing University, Chongqing 400044

Received:2021-12-16 Revised:2022-09-15 Online:2023-01-05 Published:2023-03-30

摘要/Abstract

摘要： 空间轴交角直接影响人字行星齿轮齿面的啮合位置和动态特性，通过将空间轴交角分解到轴平面（两齿轮轴线组成的平面）和垂直平面（通过轴线且与轴平面垂直的平面），推导两个平面中轴交角造成的齿面沿啮合线的等效位移，进而分析出轴交角对齿轮啮合刚度的影响。以输入侧为原点，输出侧齿面相互远离时轴交角为正，考虑人字行星齿轮左右扭转柔性的三段式建模，构建出一种新型空间轴交角人字行星齿轮系统动力学模型，并分析行星齿轮轴交角对齿轮动态特性的影响。结果表明：垂直平面轴交角对啮合刚度和动态啮合力的影响大于轴平面轴交角；空间轴交角增大时，内外啮合刚度均明显减小，且内啮合变化程度大于外啮合齿；动态啮合力会随空间轴交角正向增加而在输入侧增大，输出侧减小，负向增加时则相反。研究结果为人字行星齿轮系统的动态性能设计与控制提供理论基础和技术支撑。

关键词: 人字行星齿轮, 空间轴交角, 动力学建模, 动态啮合力

Abstract: The space shaft angle axis directly affects the meshing position and dynamic characteristics of the gear tooth surface. By decomposing the space shaft angle into an axis plane (a plane composed of two gear axes) and a vertical plane (a plane passing through the axis and perpendicular to the axis plane), and the equivalent displacement of the axis angle error in the two planes along the meshing line is derived. Then analyze the influence of the error on the gear meshing rigidity. Taking the input side as the origin, the shaft intersection angle is positive when the tooth surfaces of the output side are far away from each other. A three-stage model is established by considering the left and right torsion flexibility of the herringbone planetary gear, a new dynamic model of the herringbone planetary transmission system with space shafts angle is established, and the influence of the intersection angle of the planetary gear shaft on the dynamic characteristics of the gear is analyzed. The results show that the influence of vertical plane angle on meshing stiffness and dynamic meshing force is greater than that of shaft plane angle. When the spatial axis angle increases, the internal and external meshing stiffness decreases obviously, and the change degree of internal meshing is greater than that of external meshing. The dynamic meshing force will increase in the input side and decrease in the output side with the positive increase of the space shaft angle, and the opposite is true when the negative increase is observed. The research results provide theoretical basis and technical support for the design and control of the dynamic performance of planetary gear system.

Key words: herringbone planetary gear, space shaft angle, dynamic modeling, dynamic meshing force

中图分类号:

TG156

徐向阳, 李龙, 任博, 朱才朝. 空间轴交角人字行星齿轮系统动态特性研究[J]. 机械工程学报, 2023, 59(1): 141-150.

XU Xiangyang, LI Long, REN Bo, ZHU Caichao. Study on the Dynamic Characteristics of Herringbone Planetary Gear System with Space Shafts Angle[J]. Journal of Mechanical Engineering, 2023, 59(1): 141-150.

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空间轴交角人字行星齿轮系统动态特性研究

Study on the Dynamic Characteristics of Herringbone Planetary Gear System with Space Shafts Angle

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