润滑机制下基于最小作用量原理的CVT传动安全裕度优化研究

doi:10.3901/JME.2022.10.222

机械工程学报 ›› 2022, Vol. 58 ›› Issue (10): 222-234.doi: 10.3901/JME.2022.10.222

扫码分享

润滑机制下基于最小作用量原理的CVT传动安全裕度优化研究

韩玲, 赵伟, 曹越, 王金武

长春工业大学机电工程学院长春 130012

收稿日期:2021-12-05 修回日期:2022-02-05 出版日期:2022-05-20 发布日期:2022-07-07
通讯作者: 王金武(通信作者)，男，1981年出生，博士，讲师。主要研究方向为板材冲压成形缺陷控制理论与应用研究。E-mail：wangjinwu@ccut.edu.cn
作者简介:韩玲，女，1984年出生，博士，副教授。主要研究方向为变速机构传动理论与控制研究。E-mail：hanling@ccut.edu.cn;赵伟，男，1997年出生，硕士研究生。主要研究方向为变速机构传动及控制。E-mail：zw656488556@126.com;曹越，女，1990年出生，硕士，讲师。主要研究方向为汽车理论与控制、汽车造型设计。E-mail：caoyue@ccut.edu.cn
基金资助:
国家自然科学基金资助项目(51905044)。

Research on Safety Margin Optimization of CVT Transmission Based on Principle of Least Action under Lubrication Mechanism

HAN Ling, ZHAO Wei, CAO Yue, WANG Jinwu

School of Mechatronic Engineering, Changchun University of Technology, Changchun 130012

Received:2021-12-05 Revised:2022-02-05 Online:2022-05-20 Published:2022-07-07

摘要/Abstract

摘要： 针对现有金属带式无级变速器(Continuously variable transmission, CVT)滑摩传动过程中润滑机制影响金属带传递安全性与效率的问题。以某国产自主研发CVT为研究对象,对CVT从动带轮与金属带摩擦片之间作用力和应力分布趋势的分析,建立金属带轮运动下的热弹流润滑模型。由于CVT运行过程中油膜状态在多变约束空间下具有临界极值的特性,提出润滑特性符合最小作用量原理的假设,构建符合最小作用量原理的CVT润滑特性Lagrange函数及最小作用量原理模型,推导出CVT润滑过程中实际作用量和理论最小作用量的数值,厘清变温环境下膜厚作用量的变化趋势,验证假设的合理性。求得金属带轮与摩擦片间宏观摩擦因数与微观油膜剪切力的函数表达式,结合CVT传动综合试验,分别测试摩擦因数、温度、传动效率与转矩比的工作关系,计算金属带最佳传递转矩数值。将运行特定工况参数范围得到的结果进行插值处理,确定CVT滑摩传动安全裕度,分析变速机构不同速比、输入转矩与转速在确定安全裕度下传动效率的变化特性。结果表明,基于最小作用量原理优化下的CVT传动效率可有效提升2.62%~3.76%。为解决CVT传递安全性及效率问题提供了一种新的优化思路。

关键词: 无级变速器, 最小作用量原理, 油膜特性, 安全裕度, 传动效率

Abstract: Aiming at the problem that the lubrication mechanism of the existing metal belt type continuously variable transmission (continuously variable transmission, CVT) sliding friction transmission process affects the safety and efficiency of metal belt transmission. Taking a domestically-developed CVT as the research object, the distribution trend of force and stress between CVT driven pulley and metal belt friction plate was analyzed, and the thermal elastohydrodynamic lubrication model of metal belt pulley was established. Due to the critical extreme value of oil film state in the process of CVT operation, the assumption that the lubrication characteristics conform to the principle of least action is put forward. The Lagrange function and principle of least action model of CVT lubrication characteristics are constructed, and the values of actual action and theoretical minimum action in CVT lubrication process are deduced, and the film under variable temperature environment is clarified The change trend of thick action amount verifies the rationality of the hypothesis. The function expressions of macro friction coefficient and micro oil film shear force between metal belt pulley and metal friction plate are obtained. Combined with CVT transmission comprehensive test, the working relations of friction coefficient, temperature, transmission efficiency and torque ratio are tested respectively, and the optimal transmission torque value of metal belt is calculated. The safety margin of CVT sliding friction transmission is determined by interpolating the results obtained from specific operating conditions. The variation characteristics of transmission efficiency under different speed ratios, input torque and speed of the transmission mechanism are analyzed. The results show that the transmission efficiency of CVT can be effectively increased by 2.62%-3.76% based on the principle of least action. It provides a new optimization idea to solve the problem of CVT transmission safety and efficiency.

Key words: continuously variable transmission, principle of least action, oil film characteristics, safety margin, transmission efficiency

中图分类号:

TG156

韩玲, 赵伟, 曹越, 王金武. 润滑机制下基于最小作用量原理的CVT传动安全裕度优化研究[J]. 机械工程学报, 2022, 58(10): 222-234.

HAN Ling, ZHAO Wei, CAO Yue, WANG Jinwu. Research on Safety Margin Optimization of CVT Transmission Based on Principle of Least Action under Lubrication Mechanism[J]. Journal of Mechanical Engineering, 2022, 58(10): 222-234.

参考文献

[1] OVIDIU A. Metal pushing V-belt continuously variable transmissions (CVT) used in motor vehicles[J]. Applied Mechanics and Materials, 2016, 4138:229-234.
[2] CHEN K, ZHAO F, LIU Z, et al. Fuel economy regulations and technology roadmaps of china and the US:comparison and outlook[C]//International Powertrains, Fuels&Lubricants Meeting, SAE Technical Paper, 2018-01-1826.
[3] 傅兵,周云山,胡哓岚,等.金属带式无级变速器钢环摩擦损失[J].机械工程学报, 2018, 54(14):169-178. FU Bing, ZHOU Yunshan, HU Xiaolan, et al. Friction loss of steel ring in metal belt CVT[J]. Journal of Mechanical Engineering, 2018, 54(14):169-178.
[4] SANO, TOSHINARI. Temperature prediction technology of traction contact area for traction drive type CVT[J]. Agu Fall Meeting Abstracts, 2014, 59:701-707.
[5] GRAY C G. The lazy universe:An introduction to the principle of least action[J]. American Journal of Physics, 2018, 86(5):395-398.
[6] LANDAU L D, LIFSHITZ E M. Course of theoretical physics[M]. Holand:Academic Press, Elsevier, 2013.
[7] HOllDOBLER B, WILSON E O, et al. The ants[M]. Cambridge:Belknap Press of Harvard University Press, 1990.
[8] 王建强,郑讯佳,黄荷叶.驾驶人驾驶决策机制遵循最小作用量原理[J].中国公路学报, 2020, 33(4):155-168. WANG Jianqiang, ZHENG Xunjia, HUANG Heye. Driver's driving decision mechanism follows the principle of minimum action[J]. Acta Sinica Sinica, 2020, 33(4):155-168.
[9] DESAPIO V, KHATIB O, DELP S. Least action principles and their application to constrained and task-level problems in robotics and biomechanics[J]. Multibody System Dynamics, 2008, 19(3):303-322.
[10] LIU Heli, LIU Huaiju, ZHU Caichao, et al. Study on contact fatigue of a wind turbine gear pair considering surface roughness[J]. Friction, 2020, 8(3):553-567.
[11] ARMANDO F Q, GUILLERMO E M E. Theoretical analysis of a rolling-sliding elastohydrodynamic lubrication line contact with a subsurface inclusion[J]. Proceedings of the Institution of Mechanical Engineers, Part J:Journal of Engineerig Tribology, 2019, 233(8):1197-1207.
[12] ZHOU Changjiang, XIAO Zeliang. Stiffness and damping models for the oil film in line contact elastohydrodynamic lubrication and applications in the gear drive[J]. Applied Mathematical Modelling, 2018, 61:634-649.
[13] 刘金刚,王宁,范坚,等.基于弹流润滑的无级变速器滑移控制安全区域分析[J].中国机械工程, 2019, 30(13):1552-1557. LIU Jingang, WANG Ning, FAN Jian, et al. Analysis of slip control safety zone of continuously variable transmission based on elastohydrodynamic lubrication[J]. China Mechanical Engineering, 2019, 30(13):1552-1557.
[14] 魏冰阳,王振,杨建军,等. Ease-off拓扑修形齿面拟赫兹接触与摩擦特性分析[J].机械工程学报, 2021, 57(1):61-67. WEI Bingyang, WANG Zhen, YANG Jianjun, et al. Analysis of quasi hertzian contact and friction characteristics of ease off topology modified tooth surface[J]. Journal of Mechanical Engineering, 2021, 57(1):61-67.
[15] 张飞铁,周云山,薛殿伦,等.无级变速器金属带滑移特性试验研究[J].机械工程学报, 2015, 51(2):90-95. ZHANG Feitie, ZHOU Yunshan, XUE Dianlun, et al. Experimental study on sliding characteristics of metal belt of continuously variable transmission[J]. Journal of Mechanical Engineering, 2015, 51(2):90-95.
[16] WANG Bingqing, PENG Xudong, MENG Xiangkai. A thermo-elastohydrodynamic lubrication model for hydraulic rod O-ring seals under mixed lubrication conditions[J]. Tribology International, 2019, 129:442-458.
[17] CAEBONE G, SCARAGGI M, SORIA L. The lubrication regime at pin-pulley interface in chain CVTs[J]. Journal of Mechanical Design, 2009, 131(1):0110031-0110039.
[18] MATSUMOTO K, KOGA H, SUZUKI S, et al. Measurement of oil film pressure on running continuously variable transmission pulley Part 1:measurement using micro data logger system and thin-film sensor[J]. SAE International Journal of Passenger Cars-Mechanical Systems, 2014, 7(1):307-311.
[19] WANG H, ZHOU C, LEI Y, et al. An adhesive wear model for helical gears in line-contact mixed elastohydrodynamic lubrication[J]. Wear, 2019, 426-427(Pt A):896-909.
[20] SHAHRIVA K R, ORTIGOSA-MOYA E M, HIDALGO-ALVAREZ R, et al. Isoviscous elastohydrodynamic lubrication of inelastic NonNewtonianfluids[J]. Tribology International, 2019, 140(1):105-112.
[21] KHANIKI H B, ZOHOOR H, SOHRABPOUR S. Performance analysis and geometry optimization of metal belt-based continuously variable transmission systems using multi-objective particle swarm optimization[J]. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 2017, 39(11):4289-4303.
[22] CHOY F K, POLYSHCHUK V, ZAKRAJSEK J J, et al. Analysis of the effects of surface pitting and wear on the vibration of a gear transmission system[J]. Tribology International, 1996, 29(1):77-83.
[23] BAKHSHI KHANIKI H, ZOHOOR H, SOHRABPOUR S. Performance analysis and geometry optimization of metal belt-based continuously variable transmission systems using multi-objective particle swarm optimization[J]. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 2017, 39(11):4289-4303.
[24] ZHANG Binbin, WANG Jing, MILAN O, et al. Variation of surface dimple in point contact thermal EHL under ZEV condition[J]. Tribology International, 2016, 94:383-394.
[25] HBCHI W, VERGNE P. On the compressive heating/cooling mechanism in thermal elastohydrodynamic lubricated contacts[J]. Tribology International, 2015, 88:143-152.
[26] 黄平,陈扬枝,雒建斌,等.止推轴承流体动压润滑失效分析[J].机械工程学报, 2000(1):96-100. HUANG Ping, CHEN Yangzhi, LUO Jianbin, et al. Failure analysis of hydrodynamic lubrication of thrust bearing[J]. Journal of Mechanical Engineering, 2000(1):96-100.
[27] MATSUMOTO K, ONO Y, KOJIMA Y. Measurement of oil film pressure on running continuously variable transmission pulley Part 2:Oil film thickness calculation based on EHL theory[J]. Memoirs of Institute of Agriculture&Forestry the University of Tsukuba Agricultural&Forestry Science, 2014, 7(2):897-901.
[28] ZHANG Yongbin. Contact-fluid interfacial slippage in hydrodynamic lubricated contacts[J]. Journal of Molecular Liquids, 2006, 128(1):99-104.

润滑机制下基于最小作用量原理的CVT传动安全裕度优化研究

Research on Safety Margin Optimization of CVT Transmission Based on Principle of Least Action under Lubrication Mechanism

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

本文评价

[1]	马翔宇, 郑讯佳, 何造. 基于最小作用量原理的多孔结构性能映射关系[J]. 机械工程学报, 2024, 60(19): 250-260.
[2]	王成. 2K-H型封闭式周转轮系功率流与传动效率计算[J]. 机械工程学报, 2023, 59(13): 59-67.
[3]	邓星桥, 王杰, 王世松, 王仕可, 何舸, 刘宇澄. 单双滚柱包络环面蜗杆传动的理论与试验研究[J]. 机械工程学报, 2020, 56(3): 88-95.
[4]	宾光富, 黄源, 钟新利, 杨峰, 毛征宇. 长周期变转速下入口油温对高速轻载涡轮增压器转子振动特性影响[J]. 机械工程学报, 2020, 56(21): 131-139.
[5]	韩玲, 刘鸿祥, 王金武, 刘畅. 基于MPC的无级变速器控制优化策略研究[J]. 机械工程学报, 2019, 55(10): 158-167.
[6]	傅兵, 周云山, 胡哓岚, 李航洋, 刘云峰, 张飞铁. 金属带式无级变速器钢环摩擦损失[J]. 机械工程学报, 2018, 54(14): 169-178.
[7]	刘云峰, 周云山, 瞿道海, 王建德, 傅兵, 张飞铁. 基于电动油泵的混合动力CVT能耗对比分析[J]. 机械工程学报, 2018, 54(14): 125-131.
[8]	韩玲, 安颖, SOHELAnwar, 赵希禄. 基于滑模极值搜索的无级变速器夹紧力控制策略^*[J]. 机械工程学报, 2017, 53(4): 105-113.
[9]	吴青聪, 王兴松, 杜峰坡, 陈林. 双套索系统力矩传动特性与摩擦补偿分析[J]. 机械工程学报, 2015, 51(5): 22-29.
[10]	胡青春, 李剑英, 段福海. 带有圆锥齿轮的复合行星传动功率流与传动效率分析[J]. 机械工程学报, 2015, 51(21): 42-48.
[11]	李雪原;沈楚敬;苑士华;崔锦. 双圆锥式无级变速器传动性能的试验研究[J]. , 2013, 49(2): 116-120.
[12]	郝允志;孙冬野;林毓培;刘升. 无级变速传动系统整体优化控制策略[J]. , 2013, 49(12): 84-91.
[13]	孙月海;卢华武;杨文彦;李国营. 硬齿面TI蜗杆副的研制与试验研究[J]. , 2011, 47(9): 182-186.
[14]	罗勇;孙冬野;秦大同;胡建军;廖建. 基于参数统计特征的无级变速车辆智能控制策略[J]. , 2011, 47(18): 101-109.
[15]	魏超;苑士华;胡纪滨;宋卫群. 等差式液压机械无级变速器的速比控制理论与试验研究[J]. , 2011, 47(16): 101-105.