A method to determine the periodic solution based on observed state information and Nonlinear analysis of hydrodynamic bearing-rotor system

被引:0
作者
Lu, Yanjun [1 ]
Zhang, Yongfang [2 ]
Fang, Yingwu [3 ]
Liu, Heng [4 ]
机构
[1] Xian Univ Tech, Sch Machinery & Precis Instrument Engn, Xian, Peoples R China
[2] Northwestern Polytech Univ, Sch Elect & Informat, Xian, Peoples R China
[3] Air Force Engn, Telecommun Engn Inst, Xian, Peoples R China
[4] Xi An Jiao Tong Univ, Theory Lubricat & Bearing Inst, Xian, Peoples R China
来源
PROGRESSES IN FRACTURE AND STRENGTH OF MATERIALS AND STRUCTURES, 1-4 | 2007年 / 353-358卷
关键词
nonlinear dynamics; stability; finite element method; bifurcation;
D O I
10.4028/www.scientific.net/KEM.353-358.2475
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In this paper, a numerical method is presented to determine the periodic response of hydrodynamic bearing-rotor system. The observed state information of the system is used to solve inversely the Jacobian matrix, and to trace the periodic response with the change of the control parameter. Jacobian matrix obtained is used to calculate the Floquet multiplier, so the stability of the periodic response can be determined by Floquet theory. The proposed method is applied to a rotor system with the elliptical bearing supports to solve the periodic response and determine its nonlinear stability. Validity of this method is illustrated by comparing numerical results with the traditional method.
引用
收藏
页码:2475 / +
页数:2
相关论文
共 3 条
[1]   Journal orbits and their stability for rigid unbalanced rotors [J].
Brancati, R ;
Rocca, E ;
Russo, M ;
Russo, R .
JOURNAL OF TRIBOLOGY-TRANSACTIONS OF THE ASME, 1995, 117 (04) :709-716
[2]   A method to determine the periodic solution of the non-linear dynamics system [J].
Li, DX ;
Xu, JX .
JOURNAL OF SOUND AND VIBRATION, 2004, 275 (1-2) :1-16
[3]  
LU YJ, 2005, STUDY NONLINEAR DYNA