齿轮副非线性接触特性与动力学耦合分析方法

常乐浩; 袁冰; 宋文; 贺朝霞

doi:10.7652/xjtuxb202210001

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齿轮副非线性接触特性与动力学耦合分析方法

专题 ICFPMCE 2022国际会议 | 更新时间：2025-07-09

- 齿轮副非线性接触特性与动力学耦合分析方法
- A Model for Coupling Analysis of the Nonlinear Contact Characteristics and Dynamics of Gear Pairs
- 西安交通大学学报 2022年56卷第10期页码：1-10
- 作者机构：
  
  1. 长安大学道路施工技术与装备教育部重点实验室,西安,710064
  2. 西安工业大学机电工程学院,西安,710021
  3. 中船重工第七○五研究所,西安,710075
- 作者简介：
  
  : 2022-03-25。作者简介: 常乐浩(1987—),男,副教授,硕士生导师。基金项目: 国家自然科学基金资助项目(51605040,52005382)
- 基金信息：
  
  : 2022-03-25。作者简介: 常乐浩(1987—),男,副教授,硕士生导师。基金项目: 国家自然科学基金资助项目(51605040,52005382);中国博士后科学基金资助项目(2018M640943)
- DOI：10.7652/xjtuxb202210001
  中图分类号： TH113
- 网络首发：2022-10-10，
  
  纸质出版：2022
- 稿件说明：
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常乐浩, 袁冰, 宋文, 等. 齿轮副非线性接触特性与动力学耦合分析方法[J]. 西安交通大学学报, 2022,56(10):1-10.

CHANG Lehao, YUAN Bing, SONG Wen, et al. A Model for Coupling Analysis of the Nonlinear Contact Characteristics and Dynamics of Gear Pairs[J]. 2022, 56(10): 1-10.
常乐浩, 袁冰, 宋文, 等. 齿轮副非线性接触特性与动力学耦合分析方法[J]. 西安交通大学学报, 2022,56(10):1-10. DOI： 10.7652/xjtuxb202210001.

CHANG Lehao, YUAN Bing, SONG Wen, et al. A Model for Coupling Analysis of the Nonlinear Contact Characteristics and Dynamics of Gear Pairs[J]. 2022, 56(10): 1-10. DOI： 10.7652/xjtuxb202210001.

摘要

为了更深入地研究齿轮副非线性动力学现象的产生机理

提出了一种高效的齿轮副瞬态接触特性与动力学耦合分析方法。该方法考虑齿轮接触特性与系统振动之间的交互作用

将齿轮副动态承载接触分析(DLTCA)和系统动力学分析进行耦合

形成了系统“激励-响应-反馈”闭环动力学分析流程。研究发现

振动位移的反作用会改变齿面动态接触状态

影响动态啮合刚度和综合啮合误差等振动激励。在共振区附近

振动位移的增大可能会使齿面出现完全脱啮

产生响应幅值跳跃等非线性现象。增加啮合阻尼和螺旋角均会使系统非线性特性减弱直至消失。该方法可计入齿面误差、修形、齿侧间隙等多因素的影响

并通过试验进行了验证。结果表明

该方法能够更真实地模拟齿轮副动态啮合过程

可作为现有齿侧间隙非线性动力学的有效补充。

Abstract

In this paper

an efficient model for analysis of the transient contact and dynamics of gear pairs is proposed for in-depth study on the mechanism of nonlinear dynamics of gear pairs. This model couples the dynamic loaded tooth contact analysis(DLTCA)and the system dynamic analysis by considering the coupling effects between gear contact characteristics and system vibration

to form a closed-loop dynamic analysis process of ‘excitation-response-feedback'. According to the research findings

the reaction of dynamic displacement changes the contact state of tooth surface and affects the vibrational excitation such as dynamic mesh stiffness and composite mesh error; the increase of dynamic displacement near the resonance region may lead to total contact loss of tooth surface

resulting in nonlinear dynamics such as response amplitude jump. However

increasing meshing damping and helix angle weakens or eliminates the nonlinear dynamics. Factors such as tooth surface error

modification and clearance were included in the coupling model and experiments were conducted to verify effectiveness of this model. The results show that the proposed model can simulate the dynamic meshing process of gear pairs more accurately

and can be a good supplement to the current model of clearance-type nonlinear dynamics.

关键词

Keywords

references

BLANKENSHIP G W,KAHRAMAN A. Steady state forced response of a mechanical oscillator with combined parametric excitation and clearance type non-linearity [J]. Journal of Sound and Vibration, 1995, 185(5): 743-765.

KAHRAMAN A, BLANKENSHIP G W. Experiments on nonlinear dynamic behavior of an oscillator with clearance and periodically time-varying parameters [J]. Journal of Applied Mechanics, 1997, 64(1): 217-226.

KAHRAMAN A, BLANKENSHIP G W. Effect of involute contact ratio on spur gear dynamics [J]. Journal of Mechanical Design, 1999, 121(1): 112-118.

BYRTUS M, ZEMAN V. On modeling and vibration of gear drives influenced by nonlinear couplings [J]. Mechanism and Machine Theory, 2011, 46(3): 375-397.

CHEN Siyu, TANG Jinyuan, LUO Caiwang, et al. Nonlinear dynamic characteristics of geared rotor bearing systems with dynamic backlash and friction [J]. Mechanism and Machine Theory, 2011, 46(4): 466-478.

YANG Yi, XIA Wenkai, HAN Jianming, et al. Vibration analysis for tooth crack detection in a spur gear system with clearance nonlinearity [J]. International Journal of Mechanical Sciences, 2019, 157-158: 648-661.

XIANG Ling, GAO Nan. Coupled torsion-bending dynamic analysis of gear-rotor-bearing system with eccentricity fluctuation [J]. Applied Mathematical Modelling, 2017, 50: 569-584.

李应刚, 陈天宁, 王小鹏, 等. 外部动态激励作用下齿轮系统非线性动力学特性 [J]. 西安交通大学学报, 2014, 48(1): 101-105.

LI Yinggang, CHEN Tianning, WANG Xiaopeng, et al. Non-linear dynamics of spur gear pair under external periodic excitation [J]. Journal of Xi'an Jiaotong University, 2014, 48(1): 101-105.

崔立, 宋晓光, 郑建荣. 考虑多间隙的齿轮柔性转子耦合系统非线性动力学分析 [J]. 振动与冲击, 2013, 32(8): 171-178, 198.

CUI Li, SONG Xiaoguang, ZHENG Jianrong. Nonlinear dynamic analysis for a geared flexible rotor system considering multi-clearance [J]. Journal of Vibration and Shock, 2013, 32(8): 171-178, 198.

LIN Tengjiao, OU H, LI Runfang. A finite element method for 3D static and dynamic contact/impact analysis of gear drives [J]. Computer Methods in Applied Mechanics and Engineering, 2007, 196(9/12): 1716-1728.

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.

WU Yongjun, WANG Jianjun. A contact finite element method for dynamic analysis of continuous engaged gear pairs [J]. Journal of Aerospace Power, 2013, 28(5): 1192-1200.

KUBO A. Stress condition, vibrational exciting force, and contact pattern of helical gears with manufacturing and alignment error [J]. Journal of Mechanical Design, 1978, 100(1): 77-84.

王涛, 唐增宝, 钟毅芳. 齿轮传动的动态啮合刚度 [J]. 华中理工大学学报, 1992, 20(3): 39-44.

WANG Tao, TANG Zengbao, ZHONG Yifang. The dynamic meshing stiffness of gear transmission [J]. Journal of Huazhong University of Science and Technology, 1992, 20(3): 39-44.

CAI Y, HAYASHI T. The linear approximated equation of vibration of a pair of spur gears(theory and experiment)[J]. Journal of Mechanical Design, 1994, 116(2): 558-564.

MATSUMURA S, UMEZAWA K, HOUJOH H. Rotational vibration of a helical gear pair having tooth surface deviation during transmission of light load [J]. JSME International Journal: Series C Dynamics, Control, Robotics, Design and Manufacturing, 1996, 39(3): 614-620.

ANDERSSON A, VEDMAR L. A dynamic model to determine vibrations in involute helical gears [J]. Journal of Sound and Vibration, 2003, 260(2): 195-212.

CAO Zheng, CHEN Zaigang, JIANG Hanjun. Nonlinear dynamics of a spur gear pair with force-dependent mesh stiffness [J]. Nonlinear Dynamics, 2020, 99(2): 1227-1241.

VELEX P, MAATAR M. A mathematical model for analyzing the influence of shape deviations and mounting errors on gear dynamic behaviour [J]. Journal of Sound and Vibration, 1996, 191(5): 629-660.

AJMI M, VELEX P. A model for simulating the quasi-static and dynamic behaviour of solid wide-faced spur and helical gears [J]. Mechanism and Machine Theory, 2005, 40(2): 173-190.

PARKER R G, VIJAYAKAR S M, IMAJO T. Non-linear dynamic response of a spur gear pair: modelling and experimental comparisons [J]. Journal of Sound and Vibration, 2000, 237(3): 435-455.

ERITENEL T, PARKER R G. Three-dimensional nonlinear vibration of gear pairs [J]. Journal of Sound and Vibration, 2012, 331(15): 3628-3648.

ERITENEL T, PARKER R G. Nonlinear vibration of gears with tooth surface modifications [J]. Journal of Vibration and Acoustics, 2013, 135(5): 051005.

DAI Xiang, COOLEY C G, PARKER R G. An efficient hybrid analytical-computational method for nonlinear vibration of spur gear pairs [J]. Journal of Vibration and Acoustics, 2019, 141(1): 011006.

LIU Jiawei, LIU Jiapeng, SHU Xuanbo, et al. An efficient multibody dynamic model of three-dimensional meshing contacts in helical gear-shaft system and its solution [J]. Mechanism and Machine Theory, 2019, 142: 103607.

常乐浩, 贺朝霞, 刘岚, 等. 一种确定斜齿轮传递误差和啮合刚度的快速有效方法 [J]. 振动与冲击, 2017, 36(6): 157-162, 174.

CHANG Lehao, HE Zhaoxia, LIU Lan, et al. Express method for determining the transmission error and mesh stiffness of helical gears [J]. Journal of Vibration and Shock, 2017, 36(6): 157-162, 174.

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