文章基本信息

标题：Bifurcation and chaos for piecewise nonlinear roll system of rolling mill:
本地全文：下载
作者：Chundi Si ; Ruilan Tian ; Jingjing Feng 等
期刊名称：Advances in Mechanical Engineering
印刷版ISSN：1687-8140
电子版ISSN：1687-8140
出版年度：2017
卷号：9
期号：12
页码：1-8
DOI：10.1177/1687814017742313
语种：English
出版社：Sage Publications Ltd.
摘要：A non-smooth cold roll system of rolling mill is studied to reveal the bifurcation of the piecewise-smooth and discontinu?ous system. To examine the influence of the parameters on the dynamics, the bifurcation diagram is constructed when it is unperturbed. Hamilton phase diagrams of the non-smooth system are detected, which differ significantly from the ones obtained in the smooth system. Non-smooth homoclinic, heteroclinic, and periodic orbits are determined, which depend on the classical heteroclinic periodic orbits, periodic orbits, and a necessary condition. A extended Melnikov function is employed to obtain the criteria for the non-smooth homoclinic bifurcation in this class of piecewise-smooth and discontinuous system, which implies that the existence of homoclinic bifurcation arises from the breaking of homo?clinic orbits under the perturbation of damping. The results reveal that this kind of non-smooth factor has little influence on the chaotic threshold apart from calculating piecewise integrals. The efficiency of the criteria for non-smooth homo?clinic bifurcation mentioned above is verified by the phase portraits, Poincare´ section, and bifurcation diagrams, which laid a theoretical foundation for parameter design, stable operation, and fault diagnosis of rolling mills.
关键词：Piecewise nonlinear system; rolling mill; non-smooth homoclinic orbit; bifurcation; chaos