Design and Analysis of Hybrid Transmission Error of Spiral Bevel Gears

SU Jinzhan; XU Peng; LIU Bin; GUO Fang; YANG Yu

doi:10.7652/xjtuxb202211005

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Design and Analysis of Hybrid Transmission Error of Spiral Bevel Gears

更新时间：2025-07-09

- Design and Analysis of Hybrid Transmission Error of Spiral Bevel Gears
- Vol. 56, Issue 11, Pages: 41-48(2022)
- 作者机构：
  
  长安大学道路施工技术与装备教育部重点实验室,西安,710064
- 作者简介：
- 基金信息：
- DOI：10.7652/xjtuxb202211005
  CLC： TH132
- Online First：10 November 2022，
  
  Published：2022
- 稿件说明：
移动端阅览
SU Jinzhan, XU Peng, LIU Bin, et al. Design and Analysis of Hybrid Transmission Error of Spiral Bevel Gears[J]. 2022, 56(11): 41-48.
DOI：

SU Jinzhan, XU Peng, LIU Bin, et al. Design and Analysis of Hybrid Transmission Error of Spiral Bevel Gears[J]. 2022, 56(11): 41-48. DOI： 10.7652/xjtuxb202211005.

摘要

为了降低承载传动误差高阶谐波引起的噪声

本文提出了弧齿锥齿轮复合传动误差设计。借助优化方法确定了工作载荷下承载传动误差波动量最小和几何传动误差对称性的局部综合参数

从而获得机床调整参数。借助轮齿接触分析方法

通过计算对称抛物线传动误差在5个关键点处的小轮转角和传动误差幅值

确定一个啮合周期内的简谐函数表达式

根据啮合转换点的连续相切条件计算两侧抛物线传动误差曲线系数

进而获得完整的3段传动误差曲线。采用逆轮齿接触分析方法

获得3段传动误差所对应的小轮基本滚比和高阶变性系数。算例结果表明:在轻载条件下啮合转换点处的夹角为180°

可实现啮合齿对的平稳过渡

减小换齿冲击; 在工作载荷下能够降低承载传动误差的高阶谐波幅值; 通过设置3段高阶变性系数可实现复合传动误差的磨齿加工。

Abstract

This paper proposes the design of hybrid transmission error(HTE)of spiral bevel gears to reduce the noise caused by high order frequency of loaded transmission errors. The local synthetic parameters with minimum fluctuation of loaded transmission error(LTE)and symmetry of geometric transmission error under working load were determined through optimization to obtain the machine-tool setting for spiral bevel gears. The pinion rotation angle and transmission error amplitude of symmetric parabola transmission error(PTE)at five key points were calculated through tooth contact analysis(TCA)to determine the harmonic function expression within a meshing period; the higher order parabolic coefficients of transmission error curves on both sides of the harmonic function were calculated according to the condition of continuous tangent at the meshing transfer point; the basic roll ratio and high order modified coefficient of pinion

corresponding to three-segment transmission error

were obtained by using reverse tooth contact analysis method. The numerical results show that stable meshing among tooth pairs can be realized and the meshing impact can be reduced under an intersection angle of 180° at transfer points under light loads; the high-frequency amplitude of the loaded transmission error can be reduced by the composite transmission error design under the working load. The gear grinding of compound transmission error can be realized by setting the high order modified roll coefficient of three-segment transmission error.

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references

侯祥颖, 方宗德. 考虑边缘接触的弧齿锥齿轮有限元接触分析 [J]. 西安交通大学学报, 2016, 50(11): 69-74.

HOU Xiangying, FANG Zongde. Tooth contact analysis of spiral bevel gears considering edge contact with finite element method [J]. Journal of Xi'an Jiaotong University, 2016, 50(11): 69-74.

侯祥颖, 方宗德. 弧齿锥齿轮的向量式有限元静态啮合分析 [J]. 西安交通大学学报, 2017, 51(9): 85-91.

HOU Xiangying, FANG Zongde. Static meshing analysis of spiral bevel gears based on vector form intrinsic finite element method [J]. Journal of Xi'an Jiaotong University, 2017, 51(9): 85-91.

LITVIN F L, VECCHIATO D, YUKISHIMA K, et al. Reduction of noise of loaded and unloaded misaligned gear drives [J]. Computer Methods in Applied Mechanics and Engineering, 2006, 195(41/42/43): 5523-5536.

LITVIN F L, FUENTES A, FAN Qi, et al. Computerized design, simulation of meshing, and contact and stress analysis of face-milled formate generated spiral bevel gears [J]. Mechanism and Machine Theory, 2002, 37(5): 441-459.

LITVIN F L, FUENTES A, HAYASAKA K. Design, manufacture, stress analysis, and experimental tests of low-noise high endurance spiral bevel gears [J]. Mechanism and Machine Theory, 2006, 41(1): 83-118.

方宗德, 刘涛, 邓效忠. 基于传动误差设计的弧齿锥齿轮啮合分析 [J]. 航空学报, 2002, 23(3): 226-230.

FANG Zongde, LIU Tao, DENG Xiaozhong. Tooth contact analysis of spiral bevel gears based on the design of transmission error [J]. Acta Aeronautica et Astronautica Sinica, 2002, 23(3): 226-230.

刘光磊, 樊红卫, 谷霁红, 等. 弧齿锥齿轮传动误差曲线优化的半变性法 [J]. 航空动力学报, 2010, 25(8): 1888-1893.

LIU Guanglei, FAN Hongwei, GU Jihong, et al. Half-modified roll for the optimization of transmission error function of spiral bevel gears [J]. Journal of Aerospace Power, 2010, 25(8): 1888-1893.

刘光磊, 樊红卫. 航空弧齿锥齿轮磨削齿面的主动优化设计 [J]. 西北工业大学学报, 2011, 29(3): 394-399.

LIU Guanglei, FAN Hongwei. A better active design for optimizing grinding parameters of aviation spiral bevel gears [J]. Journal of Northwestern Polytechnical University, 2011, 29(3): 394-399.

刘光磊, 刘则良. 弧齿锥齿轮传动误差曲线的双层优化法 [J]. 农业机械学报, 2012, 43(7): 223-227, 222.

LIU Guanglei, LIU Zeliang. Dual-layer optimization for transmission errors of spiral bevel gears [J]. Transactions of the Chinese Society for Agricultural Machinery, 2012, 43(7): 223-227, 222.

LIU Guanglei, FAN Hongwei. Pinion tooth surface generation strategy of spiral bevel gears [J]. Chinese Journal of Mechanical Engineering, 2012, 25(4): 753-759.

STADTFELD H J, GAISER U. The ultimate motion graph [J]. Journal of Mechanical Design, 2000, 122(3): 317-322.

WANG Peiyu, FONG Z H. Fourth-order kinematic synthesis for face-milling spiral bevel gears with modified radial motion(mrm)correction [J]. Journal of Mechanical Design, 2006, 128(2): 457-467.

魏冰阳, 方宗德, 周彦伟, 等. 基于变性法的高阶传动误差设计与分析 [J]. 西北工业大学学报, 2003, 21(6): 757-760.

WEI Bingyang, FANG Zongde, ZHOU Yanwei, et al. On improving design of spiral bevel gear with higher-order transmission error curve [J]. Journal of Northwestern Polytechnical University, 2003, 21(6): 757-760.

苏进展, 方宗德, 蔡香伟. 弧齿锥齿轮四阶传动误差的设计 [J]. 华南理工大学学报(自然科学版), 2014, 42(1): 29-34.

SU Jinzhan, FANG Zongde, CAI Xiangwei. Design of the fourth-order transmission error for spiral bevel gears [J]. Journal of South China University of Technology(Natural Science Edition), 2014, 42(1): 29-34.

SU Jinzhan, FANG Zongde, CAI Xiangwei. Design and analysis of spiral bevel gears with seventh-order function of transmission error [J]. Chinese Journal of Aeronautics, 2013, 26(5): 1310-1316.

曹雪梅, 邓效忠, 聂少武. 基于共轭齿面修正的航空弧齿锥齿轮高阶传动误差齿面拓扑结构设计 [J]. 航空动力学报, 2015, 30(1): 195-200.

CAO Xuemei, DENG Xiaozhong, NIE Shaowu. Ease-off flank topography design for aviation spiral bevel gears with higher-order transmission errors by modification of conjugate flank [J]. Journal of Aerospace Power, 2015, 30(1): 195-200.

MU Yanming, LI Wenli, FANG Zongde, et al. A novel tooth surface modification method for spiral bevel gears with higher-order transmission error [J]. Mechanism and Machine Theory, 2018, 126: 49-60.

MU Yanming, HE Xueming. Design and dynamic performance analysis of high-contact-ratio spiral bevel gear based on the higher-order tooth surface modification [J]. Mechanism and Machine Theory, 2021, 161: 104312.

牟彦铭, 方宗德, 张西金. 高重合度弧齿锥齿轮高阶传动误差设计与分析 [J]. 华中科技大学学报(自然科学版), 2018, 46(7): 67-72.

MU Yanming, FANG Zongde, ZHANG Xijin. Design and analysis of high-order transmission error for high contact ratio spiral bevel gears [J]. Journal of Huazhong University of Science and Technology(Natural Science Edition), 2018, 46(7): 67-72.

YANG J J, SHI Z H, ZHANG H, et al. Dynamic analysis of spiral bevel and hypoid gears with high-order transmission errors [J]. Journal of Sound and Vibration, 2018, 417: 149-164.

STADTFELD H J. Psychoacoustic methodology for the noise reduction of bevel gears [C]∥AGMA Fall Technical Meeting. Alexandria, Virginia, USA: AGMA, 2017: 129-146.

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