Determination of Nonlinear Normal Modes with Applications to Prediction of Dry Friction Backward Whirl Motion of a Rotor/Stator Rubbing System

doi:10.7652/xjtuxb201405015

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Determination of Nonlinear Normal Modes with Applications to Prediction of Dry Friction Backward Whirl Motion of a Rotor/Stator Rubbing System

更新时间：2025-07-09

- Determination of Nonlinear Normal Modes with Applications to Prediction of Dry Friction Backward Whirl Motion of a Rotor/Stator Rubbing System
- Vol. 48, Issue 5, Pages: 82-88(2014)
- 作者机构：
  
  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：
- DOI：10.7652/xjtuxb201405015
  CLC： O327;TM301.4
- Online First：10 May 2014，
  
  Published：2014
- 稿件说明：
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Determination of Nonlinear Normal Modes with Applications to Prediction of Dry Friction Backward Whirl Motion of a Rotor/Stator Rubbing System[J]. 2014, 48(5): 82-88.
DOI：

Determination of Nonlinear Normal Modes with Applications to Prediction of Dry Friction Backward Whirl Motion of a Rotor/Stator Rubbing System[J]. 2014, 48(5): 82-88. DOI： 10.7652/xjtuxb201405015.

摘要

为了分析转子/定子碰摩系统中的非线性模态

确定交叉耦合效应对非线性模态的影响以及非线性模态在预测系统干摩擦反向涡动响应中的作用

针对一个考虑了定子运动学特性以及转子和定子间交叉耦合效应的四自由度转子/定子碰摩系统

用解析方法求解了其线性和非线性模态

分析了系统干摩擦反向涡动响应的涡动频率

确定了激发干摩擦反向涡动的临界速度与系统模态之间的关系。分析结果表明:系统存在2个负的线性模态频率; 随着碰摩面摩擦系数的增大

其负的非线性模态频率由1个增加到3个; 系统的2个负线性模态频率不但是相应非线性模态的边界

也是干摩擦反向涡动频率的上边界; 非线性模态存在的最小摩擦系数就是发生干摩擦反向涡动失稳的最小摩擦系数。此项研究可为转子/定子碰摩系统的响应预测提供新的思路。

Abstract

To determine the nonlinear normal modes(NNMs)and investigate the influence of cross-coupling effect on the NNMs as well as the function of NNMs in predicting dry friction backward whirl response in rotor/stator rubbing systems

a four-degree freedom rotor/stator rubbing system with the consideration of dynamics of the stator and the cross-coupling effects is investigated. Linear and nonlinear normal modes of the system are derived analytically

and the relationship between the whirl frequency and the critical rotating speed of the dry-friction backward whirl is exploited. It is found that the system possesses two linear normal modes and its negative NNMs vary from one to three with the increasing friction coefficient on the contact surface; the linear modal frequencies work not only as the existence boundaries of NNMs

but also as the upper limits of the whirl frequencies of the dry-friction backward whirl motion. Moreover

the minimal friction coefficient for the existence of the nonlinear normal modes is just the minimal friction coefficients for occurrence of the dry friction backward whirl motion. The results may facilitate providing a new prospective method for response prediction in rotor/stator rubbing systems.

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references

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