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Impulsive Control of a Cam-Follower Oblique-Impact System

Published online by Cambridge University Press:  25 May 2017

N. Lu ,
X. M. Ren ,
T. D. Jiang  and
Y. F. Yang
N. Lu
Affiliation:
Institute of Vibration EngineeringNorthwestern Polytechnical UniversityXi'an, China
X. M. Ren
Affiliation:
Institute of Vibration EngineeringNorthwestern Polytechnical UniversityXi'an, China
T. D. Jiang
Affiliation:
Institute of Vibration EngineeringNorthwestern Polytechnical UniversityXi'an, China Guizhou Aero-Engine Research InstituteGuiyang, China
Y. F. Yang*
Affiliation:
Institute of Vibration EngineeringNorthwestern Polytechnical UniversityXi'an, China
*
*Corresponding author ([email protected])
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Abstract

The transient impact hypothesis was extended, and the oblique collision model was established by considering the tangential slip. In order to solve this problem, the oblique-impact equations for cam-follower were transformed into a linear complementarity problem. Impulsive control method was employed to control or anti-control the nonlinear responses. The simulation results show that the cam-follower system performs very complex nonlinear characteristics, such as period, quasi-period and chaos responses. Using the impulsive control method, the nonlinear responses of the cam-follower system can be controlled to P(n, n) and P(∞, n) or anti-controlled to chaos.

Keywords

Cam-followerOblique-impactImpulsive control methodChaos control
Type
Research Article
Information
Journal of Mechanics , Volume 34 , Issue 4 , August 2018 , pp. 475 - 482
Copyright
Copyright © The Society of Theoretical and Applied Mechanics 2018 

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