计及多状态啮合的面齿轮传动系统动力学建模与动态特性分析

朱凌云; 顾美华; 苟向锋

doi:10.16578/j.issn.1004.2539.2022.10.009

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计及多状态啮合的面齿轮传动系统动力学建模与动态特性分析

设计计算 | 更新时间：2022-11-05

- 计及多状态啮合的面齿轮传动系统动力学建模与动态特性分析
- Modelling and Analysis of Dynamics Characteristics of Face-gear Transmission System Considering Multi-state Engagement
- 机械传动 2022年46卷第10期页码：55-63
- 作者机构：
  
  1.天津工业大学机械工程学院，天津 300387
- 作者简介：
  
  朱凌云（1975— ），女，甘肃庆阳人，副教授；研究方向为齿轮系统非线性动力学。
- 基金信息：
  
  国家自然科学基金(51365025┫天津市自然科学基金┣18JCYBJC888000)
- DOI：10.16578/j.issn.1004.2539.2022.10.009
  中图分类号：
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朱凌云,顾美华,苟向锋.计及多状态啮合的面齿轮传动系统动力学建模与动态特性分析[J].机械传动,2022,46(10):55-63.

Zhu Lingyun,Gu Meihua,Gou Xiangfeng.Modelling and Analysis of Dynamics Characteristics of Face-gear Transmission System Considering Multi-state Engagement[J].Journal of Mechanical Transmission,2022,46(10):55-63.
朱凌云,顾美华,苟向锋.计及多状态啮合的面齿轮传动系统动力学建模与动态特性分析[J].机械传动,2022,46(10):55-63. DOI： 10.16578/j.issn.1004.2539.2022.10.009.

Zhu Lingyun,Gu Meihua,Gou Xiangfeng.Modelling and Analysis of Dynamics Characteristics of Face-gear Transmission System Considering Multi-state Engagement[J].Journal of Mechanical Transmission,2022,46(10):55-63. DOI： 10.16578/j.issn.1004.2539.2022.10.009.

摘要

面齿轮传动系统的动态特性影响设备运行的稳定性和可靠性。为揭示面齿轮在传动过程中的动力学及动态特性，建立了计及多状态啮合的面齿轮传动系统弯扭摆非线性动力学模型；数值计算了3种啮合状态下载荷分配率与动态啮合力的变化；定义3种不同的Poincaré映射，结合分岔图、最大Lyapunov指数谱、相图和动态啮合力的时间历程图，分析了载荷对系统啮合力及动力学特性的影响。结果表明，随着参数变化和单双齿交替啮合的发生，面齿轮传动过程中会出现脱啮、齿面啮合和齿背接触等复杂现象。研究可为提高面齿轮传动过程的平稳性提供理论依据。

Abstract

The dynamic characteristics of face-gear transmission system directly affect the stability and reliability of the equipment. In order to reveal the dynamics and dynamic characteristics of face-gear in the transmission process, a nonlinear dynamic model of bending, torsion and pendulum of face-gear transmission system considering multi-state engagement is established. The changes of the load distribution rate and dynamic meshing force in three engaging states are calculated numerically. Three different Poincaré maps are defined, and the influence of load on the engaging force and dynamic characteristics of the system is analyzed by combining bifurcation diagram, maximum Lyapunov exponent spectrum, phase diagram and time history diagram of dynamic engaging force. The results show that with the change of parameters and the occurrence of single and double teeth alternate engagement, complex phenomena such as disengagement, tooth surface engagement and tooth back contact will occur in the process of face-gear transmission. The research can provide a theoretical basis for improving the smoothness of face-gear transmission process.

关键词

面齿轮传动系统多状态啮合动态啮合力平稳性

Keywords

Face-gear transmission systemMulti-state engagementDynamic engaging forceStability

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