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research-article

Feedback control of grazing induced chaos in the single-degree-of-freedom impact oscillator

[+] Author and Article Information
Yongkang Shen

State Key Laboratory of Advanced Design and Manufacture for Vehicle Body, College of Mechanical and Vehicle Engineering, Hunan University, Changsha, Hunan , 410082, People's Republic of China
shenyk@hnu.edu.cn

Shan Yin

State Key Laboratory of Advanced Design and Manufacture for Vehicle Body, College of Mechanical and Vehicle Engineering, Hunan University, Changsha, Hunan , 410082, People's Republic of China
shan_yin@hnu.edu.cn

Guilin Wen

State Key Laboratory of Advanced Design and Manufacture for Vehicle Body, College of Mechanical and Vehicle Engineering, Hunan University, Changsha, Hunan , 410082, People's Republic of China
glwen@hnu.edu.cn

Huidong Xu

College of Mechanics, Taiyuan University of Technology, Taiyuan, Shanxi, 030024, People's Republic of China
xhd0931@126.com

1Corresponding author.

ASME doi:10.1115/1.4037924 History: Received December 11, 2016; Revised August 23, 2017

Abstract

Based on the special dynamical property of continuous transition at certain degenerate grazing points in the single degree-of-freedom impact oscillator, the control problem of the grazing induced chaos is investigated in this paper. To design degenerate grazing bifurcations, we show how to obtain the degenerate grazing points of the 1/n impact periodic motions by the existence and stability analysis firstly. Then, a discrete-in-time feedback control strategy is used to suppress the grazing induced chaos into the 1/n impact periodic motions precisely by the desired degenerate grazing bifurcation. The feasibility of the control strategy is verified by numerical simulations.

Copyright (c) 2017 by ASME
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