吉林大学学报（理学版）Issue(6)：1155-1161,7.DOI:10.13413/j.cnki.jdxblxb.2014.06.09
再生型颤振系统的 Hopf 分岔分析与控制
Analysis and Control of Hopf Bifurcation for Regenerative Chatter System
摘要
Abstract
We considered a class of retarded one-degree-of-freedom nonlinear system,namely,the regenerative model of chatter in a lathe machine tool.The time-delay influence on the stability of the system solutions was analyzed with the aid of multiple scales.Nonlinear displacement feedback control can be used to suppress the self-sustained oscillation caused by Hopf bifurcation.The results of the theory analysis and numerical simulation show that the designed controller is valid for the cutting chatter system.关键词
亚临界 Hopf 分岔/超临界 Hopf 分岔/非线性控制/多尺度法Key words
subcritical Hopf bifurcation/supercritical Hopf bifurcation/nonlinear control/method of multiple scales分类
数理科学引用本文复制引用
李鹏松,盛桂全,孟永永..再生型颤振系统的 Hopf 分岔分析与控制[J].吉林大学学报（理学版）,2014,(6):1155-1161,7.基金项目
国家自然科学基金(批准号:11072085)和吉林省科技发展计划项目(批准号:20130101065JC) （批准号:11072085）
