Chaotic motion of a nonlinear near resonance centrifuge-Reference-Cited by-同舟云学术

Chaotic motion of a nonlinear near resonance centrifuge

Published:2020-08-06 Issue:11 Volume:51 Page:189-194
ISSN:0957-4565
Container-title:Noise & Vibration Worldwide
language:en
Short-container-title:Noise & Vibration Worldwide

Author:

Guo Feng¹^ORCID,Li Na¹

Affiliation:

1. School of Data and Computer Science, Shandong Women’s University, Jinan, China

Abstract

The equilibrium point and stability of the motion equation of the nonlinear near resonance centrifuge is studied, and the critical conditions for chaotic motions of the system under external excitation are studied by Melnikov method. The expression of Melnikov function and the boundary value between chaotic and non-chaotic regions are given. According to the range of parameters, the numerical simulations are carried out. The results show that the critical parameters of chaotic motion determined using Melnikov method are consistent with that obtained by the numerical simulation. This method effectively judges the occurrence of chaotic motion.

Publisher

SAGE Publications

Subject

Mechanical Engineering,Acoustics and Ultrasonics,Mechanics of Materials,Condensed Matter Physics,General Materials Science

Link

http://journals.sagepub.com/doi/pdf/10.1177/0957456520947995

Reference19 articles.

1. Zhou S, Liu F, Liu J. Policy research on large-scale coal preparation technology and equipment China coal industry association. Beijing, China: China Coal Economy Research, Coal Industry Press, 2015, pp. 1012–1015.

2. Wen B, Liu F. Theory and application of vibration machinery. Beijing, China: Mechanical Industry Press, 1982, 87–155.

3. Chen J, Shen L, Zhao Y. Mineral processing machinery. Xuzhou, China: China University of Mining and Technology Press, 2012, 368–371.