机械科学与技术2018，Vol.37Issue(7)：1041-1047,7.DOI:10.13433/j.cnki.1003-8728.2018.0707
电磁支撑控制非线性刚度转子系统振幅突变机理分析
Mechanism Analysis of Amplitude Catastrophe Controlled by Electromagnetic Support of a Rotor System with Nonlinear Stiffness
摘要
Abstract
In order to control the amplitude catastrophe of the rotor system with nonlinear stiffness,the rotor system dynamics model is established by introducing electromagnetic support with nonlinear variable stiffness function.The primary resonance frequency response equation of the rotor system is derived by the averaging method.The amplitude catastrophe region and unstable region of the rotor system are obtained based on the catastrophe theory and singular point stability theory.Finally,the influences of nonlinear electromagnetic support stiffness on bifurcation catastrophe area,unstable region and amplitude characteristic curve were discussed though the numerical simulation examples.The results show that the amplitude catastrophe is completely controlled when the exciting force amplitude is in the gradient region after control.Conversely,the amplitude characteristic curve still has multi valued characteristics so that the amplitude catastrophe is only partially controlled.关键词
非线性刚度/转子系统/振幅突变/电磁支撑Key words
nonlinear stiffness/rotor system/amplitude catastrophe/electromagnetic support分类
机械制造引用本文复制引用
潘勇,程敏,刘保国..电磁支撑控制非线性刚度转子系统振幅突变机理分析[J].机械科学与技术,2018,37(7):1041-1047,7.基金项目
国家自然科学基金-河南联合基金重点项目(U1604254)与河南省重点科技攻关项目(152102210366)资助 （U1604254）
