双参变量下齿轮-转子系统扭转振动特性分析

苟向锋; 陈代林

doi:10.6052/j.issn.1000-4750.2013.05.0445

双参变量下齿轮-转子系统扭转振动特性分析

兰州交通大学机电工程学院,兰州 730070

基金项目: 国家自然科学基金项目(51365025,11172119); 甘肃省自然科学基金项目(1212RJAZ070); 甘肃省高校基本科研业务费项目(212093)

详细信息

作者简介:
陈代林(1986―),男,甘肃兰州人,硕士生,从事齿轮系统动力学研究(E-mail:chdailin@163.com).

通讯作者:
苟向锋(1974―),男,甘肃镇原人,教授,博士生,从事齿轮系统动力学研究(E-mailgouxf@mail.lzjtu.cn).

中图分类号: TH113；O322
计量
- 文章访问数: 270
- HTML全文浏览量: 21
- PDF下载量: 124
出版历程
- 收稿日期: 2013-05-16
- 修回日期: 2014-03-02
- 刊出日期: 2014-11-24

DYNAMIC ANALYSIS ON TORSIONAL VIBRATION OF GEAR-ROTOR SYSTEM IN TWO PARAMETERS PLANE

School of Mechanical Engineering, Lanzhou Jiaotong University, Lanzhou 730070, China

摘要

摘要: 建立考虑齿侧间隙、啮合刚度和传递误差波动的直齿圆柱齿轮-转子系统模型,分析齿轮副的扭转振动。根据齿轮的基本参数,计算了齿轮副的时变啮合刚度、啮合阻尼等动力学参数。通过计算系统的分岔图、频谱瀑布图、最大Lyapunov指数谱和扭转位移-时间映像,得到了系统在不同参数条件下的周期性与非周期性、频谱特性和时域特性的变化规律,分析概周期运动下齿轮副出现的连续频谱特性和渐变失稳的时域特征。通过计算双参数平面上动力学分布图,得到了系统在双参数变化时的周期和非周期运动的分布规律和分岔特点。
- 齿轮-转子系统 /
- 非线性动力学 /
- 双参数分岔 /
- 频谱瀑布图 /
- 时域特性
Abstract: In order to investigate the dynamic response of a single stage gear system coupled with rotors, the vibration equations of torsional vibration of the gear-rotor system are established while the effect of gear backlash, time-varying mesh stiffness and static transmission errors are considered. Based on the bifurcation diagrams, top Lyapunov exponents spectrum, fall diagrams of FFT spectrum and pcolor of displacement-time, the periodic and aperiodic motions of the system are analyzed with varying parameters, while the characteristics of frequency and time domains of the system are discussed. The Hopf bifurcations and the phenomenon of progressive instability amplitude resulted from these transformations are obtained. Dynamic structures of the system, as well as bifurcation curves in the parameter plane, are drawn, from which the distribution areas of periodic and aperiodic motions and variety of bifurcations are described.
- gear-rotor system /
- nonlinear dynamics /
- two-parameter bifurcation /
- fall diagram of spectrum /
- time domain feature

HTML全文

参考文献(14)

[1]	A, Singh R. Non-linear dynamics of a spur gear pair [J]. Journal of Sound and Vibration, 1990, 142(1): 49―75.
[2]	Jianhong, Zhang Qingwei, He Renbing. Effect of involute contact ratio on the dynamic performance of spur gear with no tooth profile modification [J]. Chinese Journal of Mechanical Engineering, 2003, 16(4): 417―421.
[3]	陈思雨, 钟掘. 一种改进的齿轮非线性动力学模型[J]. 工程力学, 2008, 25(1): 217―223． Tang Jinyuan, Chen Siyu, Zhong Jue. A improved nonlinear model for a spur gear pair system [J]. Engineering Mechanics, 2012, 2008, 25(1): 217―223. (in Chinese)
[4]	孙涛, 胡海岩. 齿轮传动转子-轴承系统动力学的研究进展[J]. 振动工程学报, 2002, 15(3): 249―256. Li Ming, Sun Tao, Hu Haiyan. Review on dynamics of geared rotor-bearing systems [J]. Journal of Vibration Engineering, 2002, 15(3): 249―256. (in Chinese)
[5]	郑铁生. 齿轮-转子-滑动轴承系统时变非线性动力特性研究[J]. 应用力学学报, 1995, 12(1): 15―24. Li Li, Zheng Tiesheng. The study of nonlinear varying characteristics in the gear rotor-bearing system [J]. Chinese Journal of Applied Mechanics, 1995, 12(1): 15―24. (in Chinese)
[6]	A, Kahraman A. Non-linear dynamic analysis of a multi-mesh gear train using multi-term harmonic balance method: sub-harmonic motions [J]. Journal of Sound and Vibration, 2005, 279(1): 417―451.
[7]	A, Kahraman A. Non-linear dynamic analysis of a multi-meshgear train using multi-term harmonic balance method: period-one motions [J]. Journal of Sound and Vibration, 2005, 284(1): 151―172.
[8]	方宗德, 欧卫林. 多平行齿轮耦合转子系统的振动特性分析[J]. 振动与冲击, 2007, 26(6): 21―25. Pang Hui, Fang Zongde, Ou Weilin. Analysis on lateral-torsional coupling vibration characteristics of multi-parallel gear-rotor system [J]. Journal of Vibration and Shock, 2007, 26(6): 21―25. (in Chinese)
[9]	刘占生, 叶建槐. 齿轮-转子耦合系统的动态响应及齿侧间隙对振幅跳跃特性的影响[J]. 机械工程学报, 2009, 45(7): 7―15. Cui Yahui, Liu Zhansheng, Ye Jianhuai. Dynamic response of geared rotor system and the effect of clearance on jump characteristics of amplitude [J]. Chinese Journal of Mechanical Engineering, 2009, 45(7): 7―15. (in Chinese)
[10]	陈建军, 王敏娟. 随机参数齿轮-转子系统扭转振动固有频率分析[J]. 工程力学, 2011, 28(4): 172―177. Wei Yongxiang, Chen Jianjun, Wang Minjuan. Natural frequency analysis for torsional vibration of a gear-rotor system with random parameters [J]. Engineering Mechanics, 2011, 28(4): 172―177. (in Chinese)
[11]	陈建军, 马洪波. 随机参数齿轮系统的非线性动力响应分析[J]. 工程力学, 2012, 29(11): 319―324. Wei Yongxiang, Chen Jianjun, Ma Hongbo. Analysis of nonlinear dynamic response of gear-rotor with random parameters [J]. Engineering Mechanics, 2012, 29(11): 319―324. (in Chinese)
[12]	张楠, 刘占生. 高速齿轮转子系统弯扭耦合振动研究[J]. 振动工程学报, 2011, 25(4): 385―393. Dou Wei, Zhang Nan, Liu Zhansheng. The coupled bending and torsional vibrations of the high-speed geared rotor-bearing system [J]. Journal of Vibration Engineering, 2011, 25(4): 385―393. (in Chinese)
[13]	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: 160―162. Li Runfang, Wang Jianjun. Dynamics of gear system: vibration, shock and noise [M]. Beijing: Science Press, 1997: 160―162. (in Chinese)
[14]	L. Period-doubling reversals and chaos in simple ecological models [J]. Nature, 1993, 365(6447): 617―620.

施引文献

资源附件(0)

计量

文章访问数: 270
HTML全文浏览量: 21
PDF下载量: 124
被引次数: 0

双参变量下齿轮-转子系统扭转振动特性分析

作者简介: 陈代林(1986―),男,甘肃兰州人,硕士生,从事齿轮系统动力学研究(E-mail:chdailin@163.com).

通讯作者: 苟向锋(1974―),男,甘肃镇原人,教授,博士生,从事齿轮系统动力学研究(E-mailgouxf@mail.lzjtu.cn).

计量

出版历程

DYNAMIC ANALYSIS ON TORSIONAL VIBRATION OF GEAR-ROTOR SYSTEM IN TWO PARAMETERS PLANE

计量

出版历程

目录

作者简介:
陈代林(1986―),男,甘肃兰州人,硕士生,从事齿轮系统动力学研究(E-mail:chdailin@163.com).

通讯作者:
苟向锋(1974―),男,甘肃镇原人,教授,博士生,从事齿轮系统动力学研究(E-mailgouxf@mail.lzjtu.cn).