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

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 vibr...

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Bibliographic Details
Published in:Chinese physics B 2015-10, Vol.24 (10)
Main Authors: Liu, Shuang, Wang, Jin-Jin, Liu, Jin-Jie, Li, Ya-Qian
Format: Article
Language:English
Subjects:
chaos
nonlinear parametrically excited vibration
static transmission error
time-varying meshing stiffness
Online Access:Get full text
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Summary: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.
ISSN:1674-1056
DOI:10.1088/1674-1056/24/10/104501