驱动桥摆线准双曲面齿轮啮合效率优化设计

doi:10.3969/j.issn.1004-132X.2024.11.003

摘要/Abstract

摘要： 基于齿轮摩擦加载接触分析(FLTCA)方法，提出了摆线准双曲面齿轮啮合效率优化设计方法。首先，通过预设空载传动误差峰峰值和接触区位置，实现了对摆线准双曲面齿轮正、反车齿面的修形设计。然后基于修形面设计，以行驶工况下齿轮啮合效率最大为优化目标，并综合考虑齿轮副加载传动误差峰峰值、双侧齿面满载接触印迹分布以及最大接触应力建立了优化分析模型。为了提高优化模型的求解速度，采用Kriging代理模型结合多岛遗传算法对优化模型进行了求解。最后，对某型号商用驱动桥摆线准双曲面齿轮副进行了实例设计和试验验证，通过空载接触印迹试验和整桥传动效率试验验证了所提优化方法的有效性。

关键词: 驱动桥, 摆线准双曲面齿轮, 接触分析, 啮合效率, 优化

Abstract: Based on the gear friction loaded tooth contact analysis(FLTCA) method, an optimal design method was proposed for the meshing efficiency of face-hobbed hypoid gears. Firstly, a method was employed to preset the peak-to-peak values of unloaded transmission errors and the positions of the contact zones, facilitating the modification design of the positive and negative tooth surfaces of face-hobbed hypoid gears. Then, building upon the modified tooth surface design, an optimization objective was set to maximize gear meshing efficiency under driving conditions. And the optimization analysis model was established by comprehensively considering factors such as the peak-to-peak values of gear pair loaded transmission errors, distribution of full-load contact pattern on both sides of the tooth surfaces and the maximum contact stresses. To enhance the solution speed of the optimization model, the Kriging surrogate model was employed in conjunction with a multi-island genetic algorithm to address and solve the optimization model. Finally, a case design and test validation were conducted on a commercial drive axle with a face-hobbed hypoid gear pair. The effectivenesses of the optimization method proposed were verified through unloaded contact pattern tests and whole-axle transmission efficiency tests.

Key words: drive axle, face-bobbed hypoid gear, tooth contact analysis, meshing efficiency, optimization

中图分类号:

TH132.422

王钦1, 贺迪1, 薛建华2, 彭金3, 范子杰1. 驱动桥摆线准双曲面齿轮啮合效率优化设计[J]. 中国机械工程, 2024, 35(11): 1920-1927，1937.

WANG Qin1, HE Di1, XUE Jianhua2, PENG Jin3, FAN Zijie1. Optimal Design of Face-hobbed Hypoid Gear Meshing Efficiency in Drive Axles[J]. China Mechanical Engineering, 2024, 35(11): 1920-1927，1937.

导出引用管理器 EndNote|Ris|BibTeX

链接本文: http://www.cmemo.org.cn/CN/10.3969/j.issn.1004-132X.2024.11.003

http://www.cmemo.org.cn/CN/Y2024/V35/I11/1920

参考文献

［1］SHIH Yipei. A Novel Ease-off Flank Modification Methodology for Spiral Bevel and Hypoid Gears［J］. Mechanism and Machine Theory, 2010, 45(8)：1108-1124.
［2］聂少武,邓效忠,张华,等.摆线齿锥齿轮齿面预定位置啮合接触分析算法［J］.农业机械学报,2012,43(9):219-225.
NIE Shaowu, DENG Xiaozhong, ZHANG Hua, et al. Tooth Contact Analysis Algorithm Based on Predetermined Position for Prolate Epicycloid Bevel Gears［J］. Transactions of the Chinese Society for Agricultural Machinery, 2012,43(9):219-225.
［3］宣佳敏, 魏文军, 刘平义, 等. 预置接触区长度系数的Spirac切齿调整计算方法［J］. 航空动力学报, 2015, 30(1)：209-218.
XUAN Jiamin, WEI Wenjun, LIU Pingyi, et al. Spirac Machine-tool Setting Calculation Method by Predetermined Contact Pattern Length Factor［J］. Journal of Aerospace Power, 2015, 30(1)：209-218.
［4］杜进辅,方宗德,张永振,等.摆线齿准双曲面齿轮齿面主动设计［J］.国防科技大学学报,2015,37(6):167-174.
DU Jinfu, FANG Zongde, ZHANG Yongzhen, et al.Active Tooth Surface Design of Cycloid Hypoid Gears［J］.Journal of National University of Defense Technology, 2015, 37(6):167-174.
［5］DU Jinfu, FANG Zongde. An Active Tooth Surface Design Methodology for Face-hobbed Hypoid Gears Based on Measuring Coordinates［J］. Mechanism and Machine Theory, 2016, 99：140-154.
［6］LITVIN F L, ZHANG Y. Local Synthesis and Tooth Contact Analysis of Face-milled Spiral Bevel Gears［R］. Chicago：NASA， 1991.
［7］张卫青, 郭晓东, 张明德. 螺旋锥齿轮端面滚齿切齿计算及接触特性控制［J］. 机械工程学报, 2018, 54(19)：49-57.
ZHANG Weiqing, GUO Xiaodong, ZHANG Mingde. Machine Setting Calculation and Contact Characteristics Control Method of Face Hobbing Hypoid Gear［J］. Journal of Mechanical Engineering, 2018, 54(19)：49-57.
［8］KOLIVAND M, KAHRAMAN A. A Load Distribution Model for Hypoid Gears Using Ease-off Topography and Shell Theory［J］. Mechanism and Machine Theory, 2009, 44(10)：1848-1865.
［9］KOLIVAND M, LI S, KAHRAMAN A. Prediction of Mechanical Gear Mesh Efficiency of Hypoid Gear Pairs［J］. Mechanism and Machine Theory, 2010, 45(11)：1568-1582.
［10］魏冰阳, 古德万, 王永强, 等. 高减比准双曲面齿轮摩擦功耗分析与效率试验［J］. 中国机械工程, 2023, 34(13)：1525-1532.
WEI Bingyang, GU Dewan, WANG Yongqiang, et al. Friction Power Loss Analysis and Efficiency Test of High Reduction Hypoid Gears［J］. China Mechanical Engineering, 2023, 34(13)：1525-1532.
［11］王钦, 贺迪, 桂良进, 等. 考虑系统变形的驱动桥准双曲面齿轮啮合效率计算方法［J］. 清华大学学报（自然科学版）, 2024, 64(1)：33-43.
WANG Qin, HE Di, GUI Liangjin, et al. Calculation Method of Hypoid Gear Meshing Efficiency of Drive Axles with Considering System Deformation［J］. Journal of Tsinghua University(Science and Technology), 2024, 64(1)：33-43.
［12］ARTONI A, GABICCINI M, GUIGGIANI M, et al. Multi-objective Ease-off Optimization of Hypoid Gears for Their Efficiency, Noise, and Durability Performances［J］. Journal of Mechanical Design, 2011, 133(12)：121007.
［13］ARTONI A, KOLIVAND M, KAHRAMAN A. An Ease-off Based Optimization of the Loaded Transmission Error of Hypoid Gears［J］. Journal of Mechanical Design, 2010, 132(1)：011010.
［14］SIMON V V. Optimization of Face-hobbed Hypoid Gears［J］. Mechanism and Machine Theory, 2014, 77：164-181.
［15］SIMON V V. Optimal Machine Tool Settings for Face-hobbed Hypoid Gears Manufactured on CNC Hypoid Generator［J］. The International Journal of Advanced Manufacturing Technology, 2017, 88：1579-1594.
［16］董学朱. 摆线齿锥齿轮及准双曲面齿轮设计和制造［M］. 北京：机械工业出版社, 2002.
DONG Xuezhu. Design and Manufacturing of Cycloid Bevel Gear and Hypoid Gear［M］. Beijing：China Machine Press, 2002.
［17］王琪, 周驰, 桂良进, 等. 准双曲面齿轮LTCA弯曲变形约束方法［J］. 航空动力学报, 2017, 32(11)：2800-2807.
WANG Qi，ZHOU Chi，GUI Liangjin，et al. Constraint Method of Calculating Tooth Bending Deformation of Hypoid Gears in LTCA［J］. Journal of Aerospace Power, 2017, 32(11)：2800-2807.
［18］XU H. Development of a Generalized Mechanical Efficiency Prediction Methodology for Gear Pairs［D］. Columbus:The Ohio State University, 2005.
［19］CASTRO J, SEABRA J. Coefficient of Friction in Mixed Film Lubrication：Gears Versus Twin-discs［J］. Proceedings of the Institution of Mechanical Engineers, Part J：Journal of Engineering Tribology, 2007, 221(3):399-411.
［20］韩忠华. Kriging模型及代理优化算法研究进展［J］. 航空学报, 2016, 37(11)：3197-3225.
HAN Zhonghua. Kriging Surrogate Model and Its Application to Design Optimization：a Review of Recent Progress［J］. Acta Aeronautica et Astronautica Sinica, 2016, 37(11)：3197-3225.
［21］JONES D R, SCHONLAU M, WELCH W J. Efficient Global Optimization of Expensive Black-box Functions［J］. Journal of Global optimization, 1998, 13：455-492.

[1]	王立存, 陈进, 张贤明, 陈国强. 基于泛函的制冷涡旋压缩机变壁厚涡旋型线理论及形状优化 [J]. J4, 201016, 21(16): 1898-1901.
[2]	李明磊, 贾育秦, 张学良, 刘丽琴, 杜娟, 温淑花, 兰国生. 基于多目标差异演化算法的并联机构结构优化 [J]. J4, 201016, 21(16): 1915-1920.
[3]	鲁开讲, 师俊平, 张锋涛. 平面三自由度并联机构动力学优化设计 [J]. J4, 201016, 21(16): 1926-1931.
[4]	梁淑宝, 张培林, 曹建军, 任国全. 基于蚁群优化的提升小波包渐变式阈值降噪方法 [J]. J4, 201016, 21(16): 1964-1969.
[5]	张西宁, 赵明, 温广瑞. 一种轴系全息动平衡配重的多目标优化方法 [J]. J4, 201016, 21(16): 1974-1977.
[6]	刘桂源1, 王曾2, 杨子艺2, 胡明珠1, 刘怀举1. 航空发动机附件机匣齿轮传动设计分析软件开发与应用[J]. 中国机械工程, 2024, 35(11): 1938-1947.
[7]	张磊1, 2, 3, 孙学涛1, 2, 陈洁1, 2, 孙远波3, 郭佳佳1, 2, 郑杰1, 2. 汽车结构可靠性分析与优化设计研究进展[J]. 中国机械工程, 2024, 35(11): 1948-1962，1970.
[8]	李浩1, 焦彦超1, 张玉彦1, 张昊1, 邢宏文2, 文笑雨1, 王昊琪1, 叶国永1, 管啸2. 基于数字孪生的飞机装配激光跟踪仪站位优化研究[J]. 中国机械工程, 2024, 35(11): 1986-1994.
[9]	曾浩, 曹华军, 董俭雄. 基于ISABO-IBiLSTM模型的刀具磨损预测方法[J]. 中国机械工程, 2024, 35(11): 1995-2006.
[10]	陈俊翔1, 2, 齐钒羽1, 姜宏达1, 2, 孔祥东1, 2, 金振林1, 艾超1, 2. 负载口独立双阀芯电液阀的结构优化[J]. 中国机械工程, 2024, 35(10): 1747-1761.
[11]	徐平, 罗晶, 于英华, 沈佳兴, 黎文利. 织构化盘式摩擦副性能及优化设计研究[J]. 中国机械工程, 2024, 35(10): 1774-1782.
[12]	黎朝阳1, 罗天洪2, 马翔宇2, 方尚晨1, 王珂3. 气动人工肌肉驱动的可变瞬心外骨骼设计与研究[J]. 中国机械工程, 2024, 35(10): 1783-1792.
[13]	成艾国1, 王超1, 陆日进2, 何智成1, 于万元3. 复合材料尾门结构的拓扑参数一体化轻量化设计[J]. 中国机械工程, 2024, 35(10): 1824-1833.
[14]	鄢威1, 3, 王欣怡2, 3, 张华3, 朱硕2, 3, 江志刚2, 3. 考虑切削能耗和表面质量的碳纤维增强树脂基复合材料加工工艺参数优化决策[J]. 中国机械工程, 2024, 35(10): 1834-1844.
[15]	滕佳篷, 武国启. 基于SOA-VMD-ICA的海水泵激励源特征提取方法[J]. 中国机械工程, 2024, 35(08): 1373-1380.