Study on the Nonlinear Vibration Characteristic of Bending-torsional Coupled Single-stage Gear

Rongju Liu; Fuzhong Chen; Yongjun Shi; Yongsheng Zhao

doi:10.16578/j.issn.1004.2539.2019.09.005

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Study on the Nonlinear Vibration Characteristic of Bending-torsional Coupled Single-stage Gear

Theory·Reserach | 更新时间：2022-09-24

- Study on the Nonlinear Vibration Characteristic of Bending-torsional Coupled Single-stage Gear
- Journal of Mechanical Transmission Vol. 43, Issue 9, Pages: 28-34(2019)
- 作者机构：
  
  1.中国石油大学（华东）机电工程学院，山东青岛 266580
- 作者简介：
- 基金信息：
- DOI：10.16578/j.issn.1004.2539.2019.09.005
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刘荣菊,陈福忠,石永军等.单级齿轮副弯扭耦合非线性振动特性研究[J].机械传动,2019,43(09):28-34.

Liu Rongju,Chen Fuzhong,Shi Yongjun,et al.Study on the Nonlinear Vibration Characteristic of Bending-torsional Coupled Single-stage Gear[J].Journal of Mechanical Transmission,2019,43(09):28-34.
刘荣菊,陈福忠,石永军等.单级齿轮副弯扭耦合非线性振动特性研究[J].机械传动,2019,43(09):28-34. DOI： 10.16578/j.issn.1004.2539.2019.09.005.

Liu Rongju,Chen Fuzhong,Shi Yongjun,et al.Study on the Nonlinear Vibration Characteristic of Bending-torsional Coupled Single-stage Gear[J].Journal of Mechanical Transmission,2019,43(09):28-34. DOI： 10.16578/j.issn.1004.2539.2019.09.005.

摘要

以直齿轮副为研究对象，建立了包含时变啮合刚度、综合误差、齿侧间隙和输入转矩等因素的6自由度弯扭耦合非线性振动模型。结合分岔图和庞加莱映射图，研究了齿侧间隙、输入转矩以及二者耦合作用和主、从动轮轴承支撑刚度对系统振动特性的影响。研究表明，输入转矩一定时，随着齿侧间隙不断增大，系统通过分岔和激变从单周期响应过渡到混沌；齿侧间隙一定时，随着输入转矩不断增大，系统通过倒分岔和激变从混沌过渡到单周期响应；当输入转矩较大时，齿侧间隙对系统响应影响很小；支撑刚度较大系统响应稳定，并且从动轮轴承支撑刚度对系统振动特性影响较大。

Abstract

Taking spur gear pair as the research object, a 6-DOF coupled bending-torsion nonlinear vibration model including time-varying meshing stiffness, comprehensive error, backlash and input torque is established. Based on the bifurcation diagram and Poincare map, the influence of backlash, input torque, their coupling effect and the support stiffness of the main and follower gear bearings on the vibration characteristics of the system is studied. The results show that under a certain input torque, the system transits from single-period response to chaos through bifurcation and catastrophe with the increase of backlash. Under a certain backlash, the system transits from chaos to one-period response through inverted bifurcation and catastrophe with the increase of input torque. When the input torque is large, the backlash has little effect on the system response. The stiffness of the follower gear bearing has a great influence on the vibration characteristics of the system.

关键词

齿侧间隙输入转矩支撑刚度弯扭耦合振动特性

Keywords

BacklashInput-torqueSupport stiffnessBending-torsion couplingVibration characteristic

references

李润方，王建军.齿轮系统动力学-振动、冲击、噪声［M］.北京：科学出版社，1997：1-50.

盛冬平，朱如鹏，陆凤霞，等.多间隙弯扭耦合齿轮非线性振动的分岔特性研究［J］.振动与冲击，2014，33（19）：116-122.

李英明，陈卫东，陈奇，等.齿侧间隙对齿轮副非线性振动特性的影响研究［J］.机械传动，2013，37（5）：1-5.

杨富春，周晓军，胡宏伟.两级齿轮减速器非线性振动特性研究［J］.浙江大学学报（工学版），2009，43（7）：1243-1248.

陆春荣，李以农，窦作成，等.齿轮-转子-轴承系统弯扭耦合非线性振动特性研究［J］.振动工程学报，2018，31（2）：238-244.

苏程，尹朋朋.齿轮系统非线性动力学特性分析［J］.中国机械工程，2011，22（16）：1922-1928.

KAHRAMAN A，SINGH R.Interactions between time-varying mesh stiffness and clearance non-linearities in a geared system［J］.Journal of Sound & Vibration，1991，146（1）：135-146.

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