Modelling and Analysis of Dynamics Characteristics of Face-gear Transmission System Considering Multi-state Engagement

Zhu Lingyun; Gu Meihua; Gou Xiangfeng

doi:10.16578/j.issn.1004.2539.2022.10.009

您当前的位置：

首页 >

文章列表页 >

Modelling and Analysis of Dynamics Characteristics of Face-gear Transmission System Considering Multi-state Engagement

Design· Calculation | 更新时间：2022-11-05

- Modelling and Analysis of Dynamics Characteristics of Face-gear Transmission System Considering Multi-state Engagement
- Journal of Mechanical Transmission Vol. 46, Issue 10, Pages: 55-63(2022)
- 作者机构：
  
  1.天津工业大学机械工程学院，天津 300387
- 作者简介：
- 基金信息：
- DOI：10.16578/j.issn.1004.2539.2022.10.009
  CLC：
扫描看全文
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

references

BLOOMFIEID B.Designing face gears［J］.Machine Design，1947，19：129-134.

LITVIN F L，FUENTES A，ZANZI C，et al.Face-gear drive with spur involute pinion： geometry，generation by a worm，stress analysis［J］.Computer Methods in Applied Mechanics and Engineering，2002，191（25/26）：2785-2813.

LITVIN F L，WANG J，BOSSLER R B，et al.Application of face- gear drives in helicopter transmissions［J］.Journal of Mechanical Design，1992，116（3）：672-676.

LITVIN F L，FUENTES A，HOWKINS M.Design，generation and TCA of new type of asymmetric face-gear drive with modified geometry［J］.Computer Methods in Applied Mechanics and Engineering，2001，190（44）：5837-5865.

LITVIN F L，FUENTES A，ZANZI C，et al.Design，generation，and stress analysis of two versions of geometry of face-gear drives［J］.Mechanism and Machine Theory，2002，37（10）：1179-1211.

FENG G S，XIE Z F，ZHOU M.Geometric design and analysis of face-gear drive with involute helical pinion［J］.Mechanism and Machine Theory，2019，134：169-196.

ZHOU Y S，WANG S H，WANG L M，et al.CNC milling of face gears with a novel geometric analysis［J］.Mechanism and Machine Theory，2019，139：46-65.

FU X Z，FANG Z D，PENG X L，et al.Computerized design and optimization of tooth modifications on pinions for face gear drives［J］.Arabian Journal for Science and Engineering，2018，44（2）：1097-1108.

LIN C，LIU Y，Gu S J.Analysis of nonlinear twisting vibration characteristics of orthogonal curve-face gear drive［J］.Journal of the Brazilian Society of Mechanical Sciences and Engineering，2015，37（5）：1499-1505.

LIN C，HE C J，HU Y N.Analysis on the kinematical characteristics of compound motion curve-face gear pair［J］.Mechanism and Machine Theory，2018，128：298-313.

LI Z M Q，LIU S，ZHU R P，et al.Investigations of dynamic behaviors of face gear drives associated with pinion dedendum fatigue cracks［J］.Shock and Vibration，2016，2016（1）：1-10.

CHEN S Y，TANG J Y，CHEN W T，et al.Nonlinear dynamic characteristic of a face gear drive with effect of modification［J］.Meccanica，2014，49：1023-1037.

HU Z H，TANG J Y，CHEN S Y，et al.Effect of mesh stiffness on the dynamic response of face gear transmission system［J］.Journal of Mechanical Design，2013，135（7）：071005.

HU Z H，TANG J Y，CHEN S Y，et al.Coupled translation-rotation vibration and dynamic analysis of face geared rotor system［J］.Journal of Sound and Vibration，2015，351：282-298.

CHEN S Y，LEI D C，TANG J Y，et al.Effects of directional rotation radius and transmission error on the dynamic characteristics of face gear transmission system［J］.Proceedings of the Institution of Mechanical Engineers Part C：Journal of Mechanical Engineering Science，2014，228（7）：1108-1118.

冯光烁，黄旭东，兰旭东，等.面齿轮副扭转振动建模与分析［J］.清华大学学报（自然科学版），2018，58（10）：888-898.

FENG Guangshuo，Huang Xudong，Lan Xudong，et al.Torsional vibration modeling and analysis of a face-gear pair［J］.Journal of Tsinghua University（Science and Technology Edition），2018，58（10）：888-898.

林腾蛟，冉雄涛.正交面齿轮传动非线性振动特性分析［J］.振动与冲击，2012，31（2）：25-31.

LIN Tengjiao，RAN Xiongtao.Nonlinear vibration characteristic analysis of a face-gear drive［J］.Journal of Vibration and Shock，2012，31（2）：25-31.

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.

ZHU L Y，SHI J F，GOU X F.Modeling and dynamics analyzing of a torsional-bending-pendular face-gear drive system considering multi-state engagements［J］.Mechanism and Machine Theory，2020（149）：103790.

Views

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

No data

Related Author

No data

Related Institution

No data

⁰