中介轴承随机参数对双转子系统特征值的影响

中国机械工程 ›› 2016, Vol. 27 ›› Issue (05): 680-684.

中介轴承随机参数对双转子系统特征值的影响

孟华1;刘保国2;李鸽鸽2

1.商丘工学院，商丘，476000
2.河南工业大学，郑州， 450007

出版日期:2016-03-10 发布日期:2016-03-11
基金资助:
国家自然科学基金资助项目(11172092)

Influences of Coupling Bearing's Random Parameters on Eigenvalues of Double Rotor System

Meng Hua1;Liu Baoguo2;Li Gege2

1.Shangqiu Institute of Technology,Shangqiu,He'nan,476000
2.Henan University of Technology,Zhengzhou,450007

Online:2016-03-10 Published:2016-03-11
Supported by:

摘要/Abstract

摘要：

通过复杂转子系统的随机参数运动微分方程，分析了转子系统特征值的随机性问题。通过整体传递矩阵法计算出双转子系统的特征值，使用Monte Carlo数值模拟计算方法，分别计算并分析了以具有一个中介轴承支撑和两个中介轴承支撑的双转子系统耦合单元的质量参数、刚度参数及阻尼系数为随机参数时，双转子系统的特征值均值及其标准差随变异系数的变化规律。

关键词: 双转子系统, 中介轴承, 随机参数, 特征值

Abstract:

The stochastic problems in the eigenvalue of the complex double rotor system were analyzed by the dynamic stochastic differential equation. The eigenvalues of double rotor system was calculated with the whole transfer matrix method. After that, the relationship between the eigenvalue including its mean and standard deviation value and the random parameter's variation coefficient was investigated with Monte-Carlo method considering the effects of random parameters such as coupling element's mass, stiffness and damping coefficient. Meanwhile, to improve the effectiveness of this research, the conclusion was verified individually on double rotor system with one or two coupling bearings.

Key words: double rotor system, coupling bearing, random parameter, eigenvalue

中图分类号:

TH113
TH133

孟华, 刘保国, 李鸽鸽. 中介轴承随机参数对双转子系统特征值的影响[J]. 中国机械工程, 2016, 27(05): 680-684.

Meng Hua, Liu Baoguo, Li Gege. Influences of Coupling Bearing's Random Parameters on Eigenvalues of Double Rotor System[J]. China Mechanical Engineering, 2016, 27(05): 680-684.

导出引用管理器 EndNote|Ris|BibTeX

链接本文: https://www.cmemo.org.cn/CN/

https://www.cmemo.org.cn/CN/Y2016/V27/I05/680

参考文献

[1]Dimentberg M F, Naess A. Nonlinear Vibrations of a Rotating Shaft with Broadband Random Variations of Nternal Damping[J]. Nonlinear Dynamics, 2008, 51: 199-205.

[2]Driot N, Berlioz A, Lamarque C H. Stability and Tationary Response of a Skew Jeffcott Rotor with Geometric Ncertainty[J]. ASME Journal of Computational and Nonlinear Dynamics, 2009, 4:1-10.

[3]魏永祥, 陈建军, 王敏娟. 随机参数齿轮-转子系统的扭转振动分析[J]. 航空动力学报, 2010，25(11): 2637-2642.

Wei Yongxiang,Chen Jianjun,Wang Minjuan. Dynamic Response of Torsional Vibration of Gear-rotor with Random Parameters[J]. Journal of Aerospace Power,2010，25(11): 2637-2642.

[4]刘保国，王威，殷学纲. 一维随机参数结构的特征值问题[J].机械强度, 2004, 26(4): 367-370.

Liu Baoguo, Wang Wei, Yin Xuegang. Eigenvalue Problems of One Dimensional Structure with Random Parameters[J]. Journal of Mechanical Strength, 2004, 26(4): 367-370.

[5]Liu Baoguo. Eigenvalue Problems of Rotor System with Uncertain Parameters[J]. Journal of Mechanical Science and Technology,2012, 26(1):1-10.

[6]魏永祥，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(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(4): 172-177.

[7]卢剑伟，刘梦军，陈磊，等. 随机参数下齿轮非线性动力学行为[J]. 中国机械工程,2009,20(3):330-333.

Lu Jianwei, Liu Mengjun, Chen Lei, et al. Nonlinear Dynamics Behavior of Gear System with Stochastic Parameters[J]. China Mechanical Engineering, 2009, 20(3): 330-333.

[8]Leng X L, Meng G, Zhang T, et al.Bifurcation and Chaos Response of a Cracked Rotor with Random Disturbance[J]. Journal of Sound and Vibration，2007，299: 621-632.