Bifurcation and chaos analysis of a nonlinear electromechanical coupling transmission system driven by AC asynchronous motor

被引：5

作者：

Liu, Shuang ^{[1
,2
]}

Li, Xue ^{[1
]}

Zhao, Shuangshuang ^{[1
]}

Li, Haibin ^{[1
,2
]}

机构：

[1] Yanshan Univ, Key Lab Ind Comp Control Engn Hebei Prov, Qinhuangdao 066004, Hebei, Peoples R China

[2] Yanshan Univ, Natl Engn Res Ctr Equipment & Technol Cold Strip, Qinhuangdao 066004, Hebei, Peoples R China

来源：

INTERNATIONAL JOURNAL OF APPLIED ELECTROMAGNETICS AND MECHANICS | 2015年 / 47卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Electromechanical coupling; the energy method; bifurcation; chaos; PERFORMANCE; VIBRATION;

D O I：

10.3233/JAE-140059

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

Considering the torsional vibration in transmission system driven by AC asynchronous motor, this paper proposes a dynamical model of nonlinear electromechanical coupling system by using the energy method. The effect of electromagnetic factors on nonlinear dynamic performance of the electromechanical coupling system is investigated. Firstly, the static bifurcation characteristic under the non-autonomous condition is studied based on the singularity theory of nonlinear system. Secondly, the Hopf bifurcation point and the direction of bifurcation are determined based on the Hopf bifurcation theory. Finally, the bifurcation diagram, Poincare map and the largest Lyapunov exponent are given, which show the influence of electromagnetic stiffness and electromagnetic damping on the chaotic motions of the system.

引用

页码：705 / 717

页数：13

共 23 条

[1] Active damping of drive train oscillations for an electrically driven vehicle [J].

Amann, N ;

Böcker, J ;

Prenner, F .

IEEE-ASME TRANSACTIONS ON MECHATRONICS, 2004, 9 (04) :697-700

[2] Improvement of performance of Electromagnetic welding process by use of driver materials [J].

Desai, S. V. ;

Kumar, Satendra ;

Satyamurthy, P. ;

Chakravartty, J. K. ;

Chakravarthy, D. P. .

INTERNATIONAL JOURNAL OF APPLIED ELECTROMAGNETICS AND MECHANICS, 2011, 35 (02) :113-121

[3] The influence of nonlinear magnetic pull on hydropower generator rotors [J].

Gustavsson, Rolf. K. ;

Aidanpaa, Jan-Olov .

JOURNAL OF SOUND AND VIBRATION, 2006, 297 (3-5) :551-562

[4]

Hung J.Y., 1988, IEEE T IND APPL, V38, P421

[5]

[贾启芬 Jia Qifen], 2003, [振动工程学报, Journal of Vibration Engineering], V16, P129

[6] Modeling and simulation of piezoelectric composite diaphragms for energy harvesting [J].

Kan Junwu ;

Qiu Jinhao ;

Tang Kehong ;

Zhu Kongjun ;

Shao Chenghui .

INTERNATIONAL JOURNAL OF APPLIED ELECTROMAGNETICS AND MECHANICS, 2009, 30 (1-2) :95-106

[7] Effects of slot combination on acoustic noise from induction motors [J].

Kobayashi, T ;

Tajima, F ;

Ito, M ;

Shibukawa, S .

IEEE TRANSACTIONS ON MAGNETICS, 1997, 33 (02) :2101-2104

[8]

Liu Haoran, 2011, Journal of Mechanical Engineering, V47, P65, DOI 10.3901/JME.2011.13.065

[9]

[刘爽 LIU Shuang], 2010, [机械工程学报, Chinese Journal of Mechanical Engineering], V46, P83

[10] Research on match characteristics of a motorized spindle system to suppress electromechanical coupling vibration [J].

Lü, Lang ;

Xiong, Wanli ;

Hou, Zhiquan .

Jixie Gongcheng Xuebao/Journal of Mechanical Engineering, 2012, 48 (09) :144-154

← 1 2 3 →