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

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

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.

Keywords: nonlinear parametrically excited vibration time-varying meshing stiffness static transmission error chaos

Received: 08 March 2015
Revised: 16 April 2015
Accepted manuscript online:

PACS:	45.20.dc	(Rotational dynamics)
	43.40.Ga	(Nonlinear vibration)
	43.40.Vn	(Active vibration control)

Fund: 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).

Corresponding Authors: Wang Jin-Jin
E-mail: yandawangjinjin@163.com

Cite this article:

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 2015 Chin. Phys. B 24 104501

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

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