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浙江大学学报(工学版)
浙江大学学报(工学版)  2021, Vol. 55 Issue (12): 2307-2314    DOI: 10.3785/j.issn.1008-973X.2021.12.010
机械工程     
任意卷吸速度矢量点接触摩擦系数简化计算方法
曹伟1,2(),蒲伟3,万一品1,王迪1,*(),刘存波2
1. 长安大学 工程机械学院，陕西 西安 710064
2. 山推工程机械股份有限公司，山东 济宁 272073
3. 四川大学 空天科学与工程学院，四川 成都 610065
Simplified calculation method for friction coefficient in point contact with arbitrary entrainment vector
Wei CAO1,2(),Wei PU3,Yi-pin WAN1,Di WANG1,*(),Cun-bo LIU2
1. School of Construction Machinery, Chang’an University, Xi’an 710064, China
2. Shantui Construction Machinery Limited Company, Ji’ning 272073, China
3. School of Aeronautics and Astronautics, Sichuan University, Chengdu 610065, China
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摘要：

针对弧齿锥齿轮和准双曲面齿轮传动的空间点接触摩擦系数求解复杂问题，考虑油膜入口区温升与中心油膜厚度以及接触区温升与摩擦系数间的耦合关系，提出任意卷吸速度矢量点接触的摩擦系数简化计算方法. 基于所提方法分析在不同工况下的点接触中心油膜厚度和摩擦系数，并将油膜厚度和摩擦系数与文献实验数据进行对比. 结果表明：在高速工况下，入口区温升和接触区温升显著，忽略温升影响将使油膜厚度和摩擦系数预测结果偏大；卷吸速度夹角对油膜厚度影响较大，对摩擦系数影响相对较小；在任意卷吸速度夹角工况下，点接触油膜厚度和摩擦系数预测结果与文献实验结果一致，验证摩擦系数简化计算方法的可靠性.
关键词： 摩擦系数;  油膜厚度;  点接触;  卷吸速度矢量;  简化方法    
Abstract:

Owing to the complexity of friction coefficient calculations in spatial point contact, such as spiral bevel gear and hypoid gear transmissions, a simplified calculation method for friction coefficient in point contact with arbitrary entrainment vector was proposed, considering the coupling between inlet temperature rise and center film thickness as well as the interaction between friction coefficient and temperature rise in contact zone. Based on the proposed method, the oil film thickness and friction coefficient of point contact were analyzed under different working conditions, and the oil film thickness and friction coefficient were compared with the experimental data in literatures. Results show that the temperature rise at inlet area and contact area is significant at high speed, hence the prediction results of oil film thickness and friction coefficient are large if the influence of temperature rises are ignored. The entrainment angle has great influence on the oil film thickness, but little effect on the friction coefficient. Under arbitrary entrainment angles, the predicted oil film thickness and friction coefficient for point contact agree well with experimental results from literatures, verifying the reliability of the simplified calculation method for friction coefficient.
Key words: friction coefficient    oil film thickness    point contact    entrainment vector    simplified method
收稿日期: 2021-01-25 出版日期: 2021-12-31
CLC:  TH 117.2  
基金资助: 国家自然科学基金资助项目(52005047)；中国博士后科学基金资助项目（2020M672129）；陕西省自然科学基础研究计划资助项目（2020JQ-367, 2020JQ-345）；中央高校基本科研业务费专项资助项目（300102250301）；陕西省高校科协青年人才托举计划资助项目（20210420）
通讯作者: 王迪     E-mail: cw334926@163.com;wangdi@chd.edu.cn
作者简介: 曹伟（1992—），男，讲师，博士，从事传动系统摩擦学研究. orcid.org/0000-0002-6826-0672. E-mail: cw334926@163.com
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引用本文:

曹伟,蒲伟,万一品,王迪,刘存波. 任意卷吸速度矢量点接触摩擦系数简化计算方法[J]. 浙江大学学报(工学版), 2021, 55(12): 2307-2314.

Wei CAO,Wei PU,Yi-pin WAN,Di WANG,Cun-bo LIU. Simplified calculation method for friction coefficient in point contact with arbitrary entrainment vector. Journal of ZheJiang University (Engineering Science), 2021, 55(12): 2307-2314.

链接本文:

https://www.zjujournals.com/eng/CN/10.3785/j.issn.1008-973X.2021.12.010    或    https://www.zjujournals.com/eng/CN/Y2021/V55/I12/2307

图 1  具有卷吸速度夹角的点接触
图 2  流体剪切力求解坐标及网格
图 3  入口区压力梯度近似计算
图 4  摩擦系数简化计算方法流程
图 5  不同热影响因素下中心油膜厚度随卷吸速度的变化
图 6  不同温度下入口区油膜温升随卷吸速度的变化
图 7  不同热影响因素下摩擦系数随滑滚比的变化
图 8  不同温度下摩擦系数随滑滚比的变化
图 9  不同热影响因素下中心油膜厚度随卷吸夹角的变化
计算方法 hc/nm
θe= 0° θe= 45° θe= 90°
文献[11] 495.3 440.0 375.3
文献[33] 457.0 419.0 393.0
文献[13] 457.0 415.0 357.8
本研究 461.5 429.9 383.2
表 1  不同计算方法中卷吸速度夹角对应的中心油膜厚度
图 10  不同热影响因素下摩擦系数、入口区油膜温升和接触区最大温升随卷吸速度的变化
图 11  不同卷吸速度夹角下摩擦系数与实验结果对比
图 12  不同工况下摩擦系数随卷吸夹角的变化
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