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Global Behavior of Vibroimpact System with Multiple Non-Smooth Mechanical Factors

[+] Author and Article Information
Li GuoFang

Lanzhou Jiaotong University School of Mechatronic Engineering, Lanzhou Jiaotong University, Lanzhou 730070, PR China
79241683@qq.com

Wangcai Ding

Lanzhou Jiaotong University School of Mechatronic Engineering, Lanzhou Jiaotong University, Lanzhou 730070, PR China
dingwc@mail.lzjtu.cn

Shaopei Wu

Lanzhou Jiaotong University School of Mechatronic Engineering, Lanzhou Jiaotong University, Lanzhou 730070, PR China
351611089@qq.com

1Corresponding author.

ASME doi:10.1115/1.4037032 History: Received October 07, 2016; Revised June 01, 2017

Abstract

A non-linear mechanical study of a vibro-impact system influenced by a double non-smooth mechanical factor that combined elastic and rigid impact was studied. The theoretical solutions to judge the periodic motion stability of the system are described. Three different “gazing” motions and the corresponding conditions for each “gazing” motion are described. The transition and coupling regularities of periodic motion distribution under these combined effects were demonstrated. The formation mechanism of sticking motion, chattering motion, and formation of the periodic cavity under the induction of gazing bifurcation were analyzed. The extreme sensitivity of the initial value when the system is within the high frequency region was studied. The distribution of attractors and the relevant regions of attraction in the state space of different periodic motions in the periodic coexistence region were also studied.

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