时变-随机激励下直齿轮系统啮合冲击与啮合能耗研究

兰州理工大学学报 ›› 2024, Vol. 50 ›› Issue (6): 58-64.

时变-随机激励下直齿轮系统啮合冲击与啮合能耗研究

韩威^*1, 杨杏¹, 石建飞²

1.陕西铁路工程职业技术学院, 陕西渭南 714000;
2.兰州理工大学机电工程学院, 甘肃兰州 730050

收稿日期:2022-09-26 出版日期:2024-12-28 发布日期:2025-01-13
通讯作者: 韩威(1991-),男,河南西平人,硕士,讲师.Email:hanweisty@163.com
基金资助:
陕西省教育厅科学研究计划项目(23JK0384)

Research on meshing impact and meshing energy consumption of spur gear system under time-varying-random excitation

HAN Wei¹, YANG Xing¹, SHI Jian-fei²

1. Shaanxi Railway Institute, Weinan 714000, China;
2. School of Mechanical and Electronical Engineering, Lanzhou Univ. of Tech., Lanzhou 730050, China

Received:2022-09-26 Online:2024-12-28 Published:2025-01-13

摘要/Abstract

摘要： 为研究时变-随机激励下直齿轮系统的啮合冲击特性,提出了齿轮系统时变-随机激励模型,建立了包含齿面摩擦和时变啮合位置的直齿轮副啮合与冲击非线性动力学模型.通过构建齿面和齿背接触Poincaré映射,分析动态啮合力和最大冲击能量损耗随啮合频率和误差幅值的演化规律,研究分岔和混沌对动态啮合力和最大冲击能量损耗的影响,探讨误差幅值-啮合频率两参数平面上最大冲击能量损耗的分布特性.结果表明,误差幅值和啮合频率及其匹配关系显著影响动态啮合力最大和冲击能量损耗,结论可为直齿轮系统的动态性能改善和可靠应用提供重要理论依据.

关键词: 齿轮振动, 啮合冲击, 冲击能量损耗, 非线性动力学

Abstract: To study the meshing-impact characteristics of spur gear system under combined time-varying and stochastic excitations, a time-varying and random external excitation model of the gear system is proposed. Based on this, a meshing-impact non-linear dynamic model of spur gear pair, including tooth surface friction and time-varying meshing position under bridge-road excitation, is established. The evolutions of the impact force and the maximum impact energy loss with the meshing frequency and error amplitude are analyzed by constructing the Poincaré mapping section of the contact impact on the tooth surface and the tooth back. The effects of bifurcation and chaos on the dynamic meshing force and maximum impact energy loss are studied using nonlinear vibration theory. Additionally, the distribution characteristics of the maximum impact energy loss in a two-parameter plane are discussed. The results show that the error amplitude, meshing frequency, and their matching law greatly affect the dynamic meshing force and impact energy loss, which in turn critically affect the dynamic performance of the gear system. These findings provide a scientific basis for the dynamic performance improvement and reliability application of this type of gear system.

Key words: gear vibration, meshing impact, impact energy loss, nonlinear dynamic

中图分类号:

TH132

韩威, 杨杏, 石建飞. 时变-随机激励下直齿轮系统啮合冲击与啮合能耗研究[J]. 兰州理工大学学报, 2024, 50(6): 58-64.

HAN Wei, YANG Xing, SHI Jian-fei. Research on meshing impact and meshing energy consumption of spur gear system under time-varying-random excitation[J]. Journal of Lanzhou University of Technology, 2024, 50(6): 58-64.

参考文献

[1] HASNIJEH S G,POURSINA M,LEIRA B J,et al.Stochastic dynamics of a nonlinear time-varying spur gear model using an adaptive time-stepping path integration method[J].Journal of Sound and Vibration,2019,447:170-185.
[2] 田亚平,徐璐,宋佩颉,等.间隙-频率参数平面内单级直齿轮系统动力特性综合分析[J].机械科学与技术,2020,39(2):180-186.
[3] 石建飞,苟向锋,朱凌云.两空间耦合下齿轮传动系统多稳态特性研究[J].力学学报,2019,51(5):1489-1499.
[4] SHI J F,GOU X F,ZHU L Y.Modeling and analysis of a spur gear pair considering multi-state mesh with time-varying parameters and backlash[J].Mechanism and Machine Theory,2019,134:582-603.
[5] 吕凯波,胡晓禾,常宗旭,等.冲击载荷作用下齿轮传动系统动力学仿真分析[J].机械传动,2016,40(9):128-131.
[6] 符双学,周长江.基于精确建模的齿轮传动线外啮合冲击研究[J].中国工程机械学报,2016,14(3):221-226.
[7] 贾超,姚立纲,张俊,等.修形渐开线斜齿轮啮入冲击计算[J].西安交通大学学报,2020,54(9):58-64.
[8] 唐进元,周炜,陈思雨.齿轮传动啮合接触冲击分析[J].机械工程学报,2011,47(7):22-30.
[9] YU W N,MECHEFSKE C K.Analytical modeling of spur gear corner contact effects[J].Mechanism and Machine Theory,2016,96:146-164.
[10] 贾超,方宗德.高速齿轮传递误差和啮入冲击的激励模拟及齿面优化修形[J].振动与冲击,2019,38(23):103-109.
[11] 冯海生,王黎钦,郑德志,等.考虑变工况冲击的齿轮动态啮合力分析[J].振动、测试与诊断,2015,35(2):212-217.
[12] 吴勇军,王建军.一种考虑齿轮副连续啮合过程的接触有限元动力学分析方法[J].航空动力学报,2013,28(5):1192-1200.
[13] 郭芳,方宗德,张西金.考虑实测基节误差的修形齿轮啮入冲击计算[J].振动与冲击,2018,37(22):30-36.
[14] 康焱,石照耀.齿轮啮合冲击过程分析及评价方法[J].天津大学学报(自然科学与工程技术版),2013,46(5):440-446.
[15] 阿赫迈德,陈宇翔.风电行星轮系多间隙啮合冲击非线性建模与分析[J].太阳能学报,2016,37(12):3163-3169.
[16] 菅光霄,王优强,于晓,等.振动与接触冲击耦合作用下的齿轮弹流润滑研究[J].振动与冲击,2020,39(21):226-232.
[17] 石建飞,苟向锋,朱凌云.计及摩擦的多状态啮合渐开线直齿轮系统动力学建模分析[J].西北工业大学学报,2020,38(2):401-411.
[18] 胡世武,郭杏林,郭强.一种改进的耗散型接触力模型及实验验证[J].大连理工大学学报,2016,56(3):221-229.