Chaotic Motion and Its Control of Rotary Machinery

Cui Qingyu; Xie Jin; Wei Wei; Yi Zhongqing

doi:10.16578/j.issn.1004.2539.2016.03.003

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Chaotic Motion and Its Control of Rotary Machinery

更新时间：2022-10-20

- Chaotic Motion and Its Control of Rotary Machinery
- Vol. 40, Issue 3, Pages: 12-16(2016)
- 作者机构：
  
  1. 西南交通大学机械工程学院
- 作者简介：
- 基金信息：
- DOI：10.16578/j.issn.1004.2539.2016.03.003
  CLC：
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[1]崔清雨,谢进,魏巍,易仲庆.一种旋转机械的混沌运动及其控制[J].机械传动,2016,40(03):12-16.

Cui Qingyu, Xie Jin, Wei Wei, et al. Chaotic Motion and Its Control of Rotary Machinery. [J]. 40(3):12-16(2016)
[1]崔清雨,谢进,魏巍,易仲庆.一种旋转机械的混沌运动及其控制[J].机械传动,2016,40(03):12-16. DOI： 10.16578/j.issn.1004.2539.2016.03.003.

Cui Qingyu, Xie Jin, Wei Wei, et al. Chaotic Motion and Its Control of Rotary Machinery. [J]. 40(3):12-16(2016) DOI： 10.16578/j.issn.1004.2539.2016.03.003.

摘要

对地面夯实机构简化为机座安装在弹性支撑上的偏心转子的混沌运动和混沌控制问题进行了研究。研究表明,随着偏心质量的等效转子转动角速度的增加,系统经历了由倍周期分岔进入混沌,再由混沌到周期的运动状态演变过程。为控制系统的混沌运动,提出了基于混沌边缘确定控制器的设计参数的方法。方法的核心是将控制器的设计参数作为系统的参数,确定出系统的混沌边缘,由系统的混沌边缘直接确定出控制器的设计参数。以比例—微分控制器和相位控制器的设计说明了提出方法的具体步骤和有效性。

Abstract

The chaotic motion and controlling of rotary machinery simplied of a compaction mechanism installed on the elastic support are studied. The results show that,there is a transformation from periodic motion to chaotic motion in period- doubling bifurcation route,then return to the periodic motion along with the increasing of angular velocity of the equivalent eccentric mass rotor. For the purpose of controlling chaos,a method to determine the design parameters of controller is proposed based on the edge of chaos. The main idea of the method is to take the parameters of controller as the system parameters,and the edge of chaos is determined,from which the design parameters of controller can be chosen directly. The method and its effectiveness are demonstrated by the design of PD controller and phase controller.

关键词

旋转机械混沌倍周期分岔混沌边缘混沌控制

Keywords

Rotary machineryChaosPeriod-doubling bifurcationsEdge of chaosChaos control

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