考虑齿轮耦合振动的换挡过程非线性动力学分析

隋立起; 田丰; 李波; 曾远帆; 田光宇; 陈红旭

doi:10.16511/j.cnki.qhdxxb.2019.21.033

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清华大学学报（自然科学版） ›› 2020, Vol. 60 ›› Issue (2) : 109-116. DOI: 10.16511/j.cnki.qhdxxb.2019.21.033

专题：电动汽车

考虑齿轮耦合振动的换挡过程非线性动力学分析

隋立起¹, 田丰¹, 李波¹, 曾远帆¹, 田光宇¹, 陈红旭²

作者信息 +

Nonlinear dynamics analyses of gear shifting with gear vibrations

SUI Liqi¹, TIAN Feng¹, LI Bo¹, ZENG Yuanfan¹, TIAN Guangyu¹, CHEN Hongxu²

Author information +

文章历史 +

摘要

为分析电驱动机械变速器换挡过程接合套和接合齿圈的动态特性，该文建立了考虑齿轮耦合振动的换挡过程非线性动力学模型。该模型中，接合套和接合齿圈在接合过程中的接触冲击由非线性接触力学模型描述，含间隙的传动齿轮非线性振动由齿轮动力学集中质量法建模描述。这2种非线性运动过程最后由统一的动力学方程耦合。考虑到接合套和接合齿圈不同的接合状态，总结了5种状态，并分别列出其耦合动力学方程，进而通过Runge-Kutta法对系统动态特性进行了仿真计算。所得的仿真结果与实验结果相吻合，证明了该模型的正确性。在此基础上，分析接合套和接合齿圈的接触冲击力，结果表明：即使仅存在微小的转速差和转角差，瞬时冲击力也高达23 800 N。该仿真结果对于接合套和接合齿圈的优化设计及提升换挡品质具有重要意义。

Abstract

The dynamic characteristics of a sleeve and a gear ring during shifting of an electric drive mechanical transmission were studied using a nonlinear dynamic model that included the coupled vibrations of the drive gears. The model used a nonlinear contact model to describe the impact of the sleeve and the gear ring during engaging with nonlinear vibrations of the drive gears with clearances described using the concentrating mass method of gear dynamics. The two nonlinear processes were coupled by the dynamics equations. The various engaging conditions of the sleeve and the gear ring were summarized into five states with their coupled dynamics equations. Then, the dynamic characteristics of the system were simulated using the Runge-Kutta method. The results are consistent with experimental data. Analyses of the impact force between the sleeve and the gear ring shows that with even only a slight difference between the relative rotational speed and the contact angle, the impact force can reach 23 800 N. The results are of great significance for optimizing sleeves and gear rings for improving gear shifting quality.

导出引用

隋立起, 田丰, 李波, 曾远帆, 田光宇, 陈红旭. 考虑齿轮耦合振动的换挡过程非线性动力学分析[J]. 清华大学学报（自然科学版）. 2020, 60(2): 109-116 https://doi.org/10.16511/j.cnki.qhdxxb.2019.21.033

SUI Liqi, TIAN Feng, LI Bo, ZENG Yuanfan, TIAN Guangyu, CHEN Hongxu. Nonlinear dynamics analyses of gear shifting with gear vibrations[J]. Journal of Tsinghua University(Science and Technology). 2020, 60(2): 109-116 https://doi.org/10.16511/j.cnki.qhdxxb.2019.21.033

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基金

田光宇,教授,E-mail:tian_gy@tsinghua.edu.cn

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收稿日期	出版日期
2019-06-05	2020-02-15
发布日期
2020-01-15

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