Bifurcation and chaos analysis of a nonlinear electromechanical coupling relative rotation system

被引：10
|
作者：
Liu Shuang [1 ,2 ]
Zhao Shuang-Shuang [1 ]
Sun Bao-Ping [1 ]
Zhang Wen-Ming [1 ,2 ]
机构：
[1] Yanshan Univ, Key Lab Ind Comp Control Engn Hebei Prov, Qinhuangdao 066004, Peoples R China
[2] Yanshan Univ, Natl Engn Res Ctr Equipment & Technol Cold Strip, Qinhuangdao 066004, Peoples R China
来源：
CHINESE PHYSICS B | 2014年 / 23卷 / 09期
基金：
中国国家自然科学基金;
关键词：
relative rotation; electromechanical coupling; Hopf bifurcation; chaos; DYNAMICAL-SYSTEM; HOPF-BIFURCATION; TIME-DELAY; STABILITY;
D O I：
10.1088/1674-1056/23/9/094501
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Hopf bifurcation and chaos of a nonlinear electromechanical coupling relative rotation system are studied in this paper. Considering the energy in air-gap field of AC motor, the dynamical equation of nonlinear electromechanical coupling relative rotation system is deduced by using the dissipation Lagrange equation. Choosing the electromagnetic stiffness as a bifurcation parameter, the necessary and sufficient conditions of Hopf bifurcation are given, and the bifurcation characteristics are studied. The mechanism and conditions of system parameters for chaotic motions are investigated rigorously based on the Silnikov method, and the homoclinic orbit is found by using the undetermined coefficient method. Therefore, Smale horseshoe chaos occurs when electromagnetic stiffness changes. Numerical simulations are also given, which confirm the analytical results.
引用
收藏
页数：7
相关论文
共 50 条
  • [1] Bifurcation and chaos analysis of a nonlinear electromechanical coupling relative rotation system
    刘爽
    赵双双
    孙宝平
    张文明
    ChinesePhysicsB, 2014, 23 (09) : 275 - 281
  • [2] Bifurcation and chaos analysis of a nonlinear electromechanical coupling transmission system driven by AC asynchronous motor
    Liu, Shuang
    Li, Xue
    Zhao, Shuangshuang
    Li, Haibin
    INTERNATIONAL JOURNAL OF APPLIED ELECTROMAGNETICS AND MECHANICS, 2015, 47 (03) : 705 - 717
  • [3] Bifurcation and chaos of electromechanical coupling main drive system with strongly nonlinear characteristic in mill
    Liu, Shuang
    Ai, Hongling
    Sun, Baoping
    Li, Shuo
    Meng, Zong
    CHAOS SOLITONS & FRACTALS, 2017, 98 : 101 - 108
  • [4] Bifurcation and chaos of some strongly nonlinear relative rotation system with time-varying clearance
    Liu Bin
    Zhao Hong-Xu
    Hou Dong-Xiao
    Liu Hao-Ran
    ACTA PHYSICA SINICA, 2014, 63 (07)
  • [5] Stability and bifurcation analysis of micro-electromechanical nonlinear coupling system with delay
    Ding, Yuting
    Zheng, Liyuan
    Xu, Jinli
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 461 (01) : 577 - 590
  • [6] Harmonic dynamics and transition to chaos in a nonlinear electromechanical system with parametric coupling
    Yamapi, R
    Orou, JBC
    Woafo, P
    PHYSICA SCRIPTA, 2003, 67 (04) : 269 - 275
  • [7] The bifurcation and chaos analysis of the nonlinear system with reciprocal item
    Luo, YG
    Chen, YD
    Wen, BC
    ASIA-PACIFIC VIBRATION CONFERENCE 2001, VOL 1, PROCEEDINGS, 2001, : 176 - 178
  • [8] Nonlinear feedback control of Hopf bifurcation in a relative rotation dynamical system
    Liu Shuang
    Liu Bin
    Shi Pei-Ming
    ACTA PHYSICA SINICA, 2009, 58 (07) : 4383 - 4389
  • [9] Hopf bifurcation control in a coupled nonlinear relative rotation dynamical system
    Liu Shuang
    Liu Hao-Ran
    Wen Yan
    Liu Bin
    ACTA PHYSICA SINICA, 2010, 59 (08) : 5223 - 5228
  • [10] Stability and Hopf bifurcation of a nonlinear electromechanical coupling system with time delay feedback
    刘爽
    赵双双
    王兆龙
    李海滨
    Chinese Physics B, 2015, 24 (01) : 349 - 357
12345