PREDICTION FOR NONLINEAR PERIODIC SOLUTIONS OF UNBALANCED ROTOR BEARING SYSTEM

Liu Heng; Yu Lie; Xie Youbai; Yao Fusheng

Chinese

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PREDICTION FOR NONLINEAR PERIODIC SOLUTIONS OF UNBALANCED ROTOR BEARING SYSTEM

更新时间：2026-07-07

- PREDICTION FOR NONLINEAR PERIODIC SOLUTIONS OF UNBALANCED ROTOR BEARING SYSTEM
- Vol. 14, Issue 1, (1999)
- 作者机构：
- 作者简介：
- 基金信息：
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  CLC：
- Published：1999
- 稿件说明：
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Liu Heng, Yu Lie, Xie Youbai, et al. PREDICTION FOR NONLINEAR PERIODIC SOLUTIONS OF UNBALANCED ROTOR BEARING SYSTEM[J]. 1999, 14(1).
DOI：

Liu Heng, Yu Lie, Xie Youbai, et al. PREDICTION FOR NONLINEAR PERIODIC SOLUTIONS OF UNBALANCED ROTOR BEARING SYSTEM[J]. 1999, 14(1). DOI：

摘要

本文提出一种对非线性不平衡转子轴承系统周期解进行预测的新型算法

它利用系统周期解的稳态及瞬态信息

反解雅可比矩阵

实现对系统周期解的预测追踪

并利用反解得出的雅可比矩阵

求得系统周期解的Floquet乘子以判别其非线性稳定性。文中以刚性不平衡转子轴承系统为例

实现了周期解的预测追踪及非线性稳定性判别

说明了新算法的有效性。

Abstract

A new prediction method for periodic solutions of unbalanced bearing rotor system is provided

which uses the steady state and transient state information of the periodic solutions to solve Jacobi matrix.Then this method can predict and trace the periodic solution of the system.At the same time

the Floquet multiplier of the periodic solution can be obtained from Jacobi matrix to judge its nonlinear stability.Because the steady state and transient state information of the periodic solution can be observed in practice

the method would be used widely.A rigid unbalanced bearing rotor system is taken as an example

the T periodic solution of this system is predicted and traced.

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Related Institution

Electromechanical Dept.,Zhejiang University

Xi'an Institute Optics and Precision Mechanics, Chinese Academy of Sciences

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The Key Laboratory of Strength and Vibration of Ministry of Education, School of Aerospace,Xi'an Jiaotong University

School of Jet Propulsion, Beijing University of Aeronautics and Astronautics

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