摘要
为控制非线性刚度转子系统振幅突变,将具有非线性变刚度功能的电磁支撑引入转子系统,建立了转子系统动力学模型。利用平均法导出了转子系统主共振频率响应方程。基于突变理论和奇点稳定性理论分别得到了转子系统的振幅突变区域和不稳定区域。借助数值仿真算例分析了非线性电磁支撑刚度参数对突变区域、不稳定区域以及振幅特性曲线的影响。结果表明:当激振力幅值在控制后的渐变区域内取值时,振幅突变得到完全控制;当激振力幅值在控制后的突变区域内取值时,振幅特性曲线仍存在多值特征,振幅突变仅仅得到部分控制。
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.
作者
潘勇
程敏
刘保国
Pan Yong;Cheng Min;Liu Baoguo(School of Mechanical Engineering, Henan Mechanical and Electrical Vocational College, Zhengzhou 451191, China;School of Mechanic ＆ Electrical Engineering, Henan University of Technology, Zhengzhou 450001, China;College of Information ＆ Business, Zhongyuan University of Technology, Zhengzhou 451191, China)
出处
《机械科学与技术》
CSCD
北大核心
2018年第7期1041-1047,共7页
Mechanical Science and Technology for Aerospace Engineering
基金
国家自然科学基金-河南联合基金重点项目(U1604254)
河南省重点科技攻关项目(152102210366)资助
关键词
非线性刚度
转子系统
振幅突变
电磁支撑
nonlinear stiffness
rotor system
amplitude catastrophe
electromagnetic support
