外部动态激励作用下齿轮系统非线性动力学特性

李应刚 1; 陈天宁 1; 王小鹏 1; 于坤鹏 1; 周汉 1; 2; 张哲 1; 2

doi:10.7652/xjtuxb201401017

您当前的位置：

首页 >

文章列表页 >

外部动态激励作用下齿轮系统非线性动力学特性

更新时间：2025-07-09

- 外部动态激励作用下齿轮系统非线性动力学特性
- Non-Linear Dynamics of Spur Gear Pair under External Periodic Excitation
- 西安交通大学学报 2014年48卷第1期页码：101-105
- 作者机构：
  
  1. 西安交通大学机械工程学院,西安,710049
  2. 西安交通大学机械结构强度与振动国家重点实验室,西安,710049
- 作者简介：
- 基金信息：
  
  : 2013-05-21。作者简介: 李应刚(1988—),男,博士生;陈天宁(通信作者),男,教授,博士生导师。基金项目: 国家科技重大专项资助项目(2012ZX04012-032);长江学者和创新团队发展计划资助项目(IRT1172)
- DOI：10.7652/xjtuxb201401017
  中图分类号： O121.8;G558
- 网络首发：2014-01-10，
  
  纸质出版：2014
- 稿件说明：
移动端阅览
李应刚 1, 陈天宁 1, 王小鹏 1, 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.

Non-Linear Dynamics of Spur Gear Pair under External Periodic Excitation[J]. 2014, 48(1): 101-105.
李应刚 1, 陈天宁 1, 王小鹏 1, 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. DOI： 10.7652/xjtuxb201401017.

Non-Linear Dynamics of Spur Gear Pair under External Periodic Excitation[J]. 2014, 48(1): 101-105. DOI： 10.7652/xjtuxb201401017.

摘要

为了研究外部动态激励作用下齿轮系统非线性动力学特性

建立了考虑周期时变刚度、齿侧间隙、黏弹性阻尼和外部动态激励的单自由度直齿轮副系统动力学模型。针对外部动态激励作用下的周期时变刚度、齿侧间隙、激励幅值和阻尼比对齿轮副系统动力学特性的影响

采用增量谐波平衡法来求解齿轮副系统的稳态周期响应

并采用四阶变步长Runge-Kutta数值方法进行了验证。研究结果表明

增量谐波平衡法求解结果与数值仿真结果吻合得较好

齿轮系统在外部动态激励作用下会引起参数共振、多值解和幅值跳跃等非线性动力学行为

增大激励幅值和阻尼比等参数

能够有效控制齿轮系统的非线性振动响应。

Abstract

Under external periodic excitation

the dynamic model of a single-degree-of-freedom spur gear pair with periodic time-varying stiffness

backlash and viscous damping is established. The incremental harmonic balance method(IHBM)is applied to analyze the dynamic responses of the gear pair system. A comparison with Runge-Kutta integration results shows the accuracy and authority of IHBM. The effects of the periodic time-varying stiffness

backlash

excitation amplitude and viscous damping ratio on the dynamic characteristics of gear pair system are investigated. It indicates that the time-varying factors and backlash under periodic excitation usually lead to parametric resonance

multi-valued properties and amplitude jump phenomena. The enhanced excitation amplitude and the damping ratio facilitate controlling the nonlinear vibration.

关键词

Keywords

references

NEVZAT-ÖZGUVEN H, HOUSER D R. Mathematical models used in gear dynamics-a review[J]. Journal of Sound and Vibration, 1988, 121(3): 383-411.

WANG Jianjun, LI Runfang, PENG Xianghe. Survey of nonlinear vibration of gear transmission systems[J]. Applied Mechanics Reviews, 2003, 56(3): 309-329.

KAHRAMAN A, SINGH R. Non-linear dynamics of a spur gear pair[J]. Journal of Sound and Vibration, 1990, 142(1): 49-75.

KAHRAMAN A, BLANKENSHIP G W. Interactions between commensurate parametric and forcing excitations in a system with clearance[J]. Journal of Sound and Vibration, 1996, 194(3): 317-336.

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.

PADMANABHAN C, SINGH R. Analysis of periodically excited non-linear systems by a parametric continuation technique[J]. Journal of Sound and Vibration, 1995, 184(1): 35-58.

王立华, 李润方, 林腾蛟. 齿轮系统时变刚度和间隙非线性振动特性研究[J]. 中国机械工程, 2003, 14(13): 1143-1146.

WANG Lihua, LI Runfang, LIN Tengjiao. Research on nonlinear vibration characteristics due to time-varying mesh stiffness and gear backlash in gear system[J]. China Mechanical Engineering, 2003, 14(13): 1143-1146.

王晓笋, 巫世晶, 周旭辉. 含侧隙非线性齿轮传动系统的分岔与混沌分析[J]. 振动与冲击, 2008, 27(1): 53-56.

WANG Xiaosun, WU Shijing, ZHOU Xuhui. Bifurcation and chaos in nonlinear dynamic model of spur gear with backlash[J]. Journal of Vibration and Shock, 2008, 27(1): 53-56.

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

COMPARIN R J, SINGH R. Non-linear frequency response characteristics of an impact pair[J]. Journal of Sound and Vibration, 1989, 134(2): 259-290.

张锁怀, 沈允文, 董海军. 齿轮时变系统对扭矩激励的响应[J]. 航空动力学报, 2003, 18(6): 737-743.

ZHANG Suohuai, SHEN Yunwen, DONG Haijun. Response of a gear system with time-varying mesh stiffness to torque fluctuation[J]. Journal of Aerospace Power, 2003, 18(6): 737-743.

THEODOSSIADES S, NATSIAVAS S. Non-linear dynamics of gear-pair systems with periodic stiffness and backlash[J]. Journal of Sound and Vibration, 2000, 229(2): 287-310.

LAU S L, ZHANG W S. Nonlinear vibrations of piecewise-linear systems by incremental harmonic balance method[J]. ASME Journal of Applied Mechanics, 1992, 59(1): 153-160.

白鸿柏, 黄协清. 三次非线性粘性阻尼双线性滞迟振动系统IHB分析方法[J]. 西安交通大学学报, 1998, 32(10): 35-38.

BAI Hongba, HUANG Xieqing. Response of forced vibration of bilinear hysteretic oscillator[J]. Journal of Xi'an Jiaotong University, 1998, 32(10): 35-38.

XU L, LU M W, CAO Q. Bifurcation and chaos of a harmonically excited oscillator with both stiffness and viscous damping piecewise linearities by incremental harmonic balance method[J]. Journal of Sound and Vibration, 2003, 264(4): 873-882.

SHEN Yongjun, YANG Shaopu, LIU Xiandong. Nonlinear dynamics of a spur gear pair with time-varying stiffness and backlash based on incremental harmonic balance method[J]. International Journal of Mechanical Sciences, 2006, 48(11): 125.

KASUBA R, EVANS J W. An extended model for determining dynamic loads in spur gearing[J]. Journal of Mechanical Design, 1981, 103: 398.

WANG K L, CHENG H S. A numerical solution to the dynamic load, film thickness, and surface temperatures in spur gears: part I analysis[J]. Journal of Mechanical Design, 1981, 103: 177.

浏览量

下载量

CSCD

文章被引用时，请邮件提醒。

提交

工具集

关联资源

含双时滞振动主动控制系统的稳定性分析

分数阶阻尼裂纹转子的非线性动力学特性分析

分数阶阻尼Duffing系统的非线性动力学特性研究

空间含铰可展桁架结构的非线性动力学建模与分析

信息物理融合系统中恶意软件传播动力学研究