Nonlinear parametrically excited vibration and active control of gear pair system with time-varying characteristic

doi:10.1088/1674-1056/24/10/104501

中国物理B ›› 2015, Vol. 24 ›› Issue (10): 104501-104501.doi: 10.1088/1674-1056/24/10/104501

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇下一篇

Nonlinear parametrically excited vibration and active control of gear pair system with time-varying characteristic

刘爽^{a b}, 王进进^a, 刘金杰^a, 李雅倩^{a b}

a Key Laboratory of Industrial Computer Control Engineering of Hebei Province, Yanshan University, Qinhuangdao 066004, China;
b National Engineering Research Center for Equipment and Technology of Cold Strip Rolling, Yanshan University, Qinhuangdao 066004, China

收稿日期:2015-03-08 修回日期:2015-04-16 出版日期:2015-10-05 发布日期:2015-10-05
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 61104040), the Natural Science Foundation of Hebei Province, China (Grant No. E2012203090), and the University Innovation Team of Hebei Province Leading Talent Cultivation Project, China (Grant No. LJRC013).

Nonlinear parametrically excited vibration and active control of gear pair system with time-varying characteristic

Liu Shuang (刘爽)^{a b}, Wang Jin-Jin (王进进)^a, Liu Jin-Jie (刘金杰)^a, Li Ya-Qian (李雅倩)^{a b}

a Key Laboratory of Industrial Computer Control Engineering of Hebei Province, Yanshan University, Qinhuangdao 066004, China;
b National Engineering Research Center for Equipment and Technology of Cold Strip Rolling, Yanshan University, Qinhuangdao 066004, China

Received:2015-03-08 Revised:2015-04-16 Online:2015-10-05 Published:2015-10-05
Contact: Wang Jin-Jin E-mail:yandawangjinjin@163.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 61104040), the Natural Science Foundation of Hebei Province, China (Grant No. E2012203090), and the University Innovation Team of Hebei Province Leading Talent Cultivation Project, China (Grant No. LJRC013).

摘要/Abstract

摘要： In the present work, we investigate the nonlinear parametrically excited vibration and active control of a gear pair system involving backlash, time-varying meshing stiffness and static transmission error. Firstly, a gear pair model is established in a strongly nonlinear form, and its nonlinear vibration characteristics are systematically investigated through different approaches. Several complicated phenomena such as period doubling bifurcation, anti period doubling bifurcation and chaos can be observed under the internal parametric excitation. Then, an active compensation controller is designed to suppress the vibration, including the chaos. Finally, the effectiveness of the proposed controller is verified numerically.

关键词: nonlinear parametrically excited vibration, time-varying meshing stiffness, static transmission error, chaos

Abstract: In the present work, we investigate the nonlinear parametrically excited vibration and active control of a gear pair system involving backlash, time-varying meshing stiffness and static transmission error. Firstly, a gear pair model is established in a strongly nonlinear form, and its nonlinear vibration characteristics are systematically investigated through different approaches. Several complicated phenomena such as period doubling bifurcation, anti period doubling bifurcation and chaos can be observed under the internal parametric excitation. Then, an active compensation controller is designed to suppress the vibration, including the chaos. Finally, the effectiveness of the proposed controller is verified numerically.

Key words: nonlinear parametrically excited vibration, time-varying meshing stiffness, static transmission error, chaos

中图分类号: (Rotational dynamics)

45.20.dc

43.40.Ga (Nonlinear vibration) 43.40.Vn (Active vibration control)

刘爽, 王进进, 刘金杰, 李雅倩. Nonlinear parametrically excited vibration and active control of gear pair system with time-varying characteristic[J]. 中国物理B, 2015, 24(10): 104501-104501.

Liu Shuang (刘爽), Wang Jin-Jin (王进进), Liu Jin-Jie (刘金杰), Li Ya-Qian (李雅倩). Nonlinear parametrically excited vibration and active control of gear pair system with time-varying characteristic[J]. Chin. Phys. B, 2015, 24(10): 104501-104501.

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Nonlinear parametrically excited vibration and active control of gear pair system with time-varying characteristic

Nonlinear parametrically excited vibration and active control of gear pair system with time-varying characteristic

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