中国机械工程2017，Vol.28Issue(20)：2441-2447,7.DOI:10.3969/j.issn.1004-132X.2017.20.008
考虑稳定性的非线性刚度转子系统振幅突变分叉集分析
Analyses of Amplitude Catastrophe Bifurcation Sets for a Rotor System with Nonlinear Stiffness Considering Stability
摘要
Abstract
With help of averaging method,a main resonance frequency response equation of a nonlinear stiffness rotor system was derived.Expressions of bifurcation set and its cusp were obtained based on catastrophe theory,which were represented by frequency coordination factor and excitation force amplitude.Stability conditions of a rotor system were derived based on stability theory of singular points,and expressions of critical unstable regions and its bifurcation points were also given by frequency coordination factor and amplitude.Influences of nonlinear stiffness on bifurcation catastrophe areas,unstable regions and amplitude characteristic curves were discussed though numerical examples.The results show that reducing nonlinear stiffness values is the best method to control amplitude catastrophe of the rotor systems.关键词
非线性刚度/转子系统/振幅突变/分叉集Key words
nonlinear stiffness/rotor system/amplitude catastrophe/bifurcation set分类
机械制造引用本文复制引用
潘勇,王香耿,程敏,刘保国..考虑稳定性的非线性刚度转子系统振幅突变分叉集分析[J].中国机械工程,2017,28(20):2441-2447,7.基金项目
国家自然科学基金资助项目(11172092) （11172092）
河南省重点科技攻关项目(152102210366) （152102210366）
河南省教育厅科学技术研究重点项目(14A460011) （14A460011）
