超磁致伸缩致动器非线性系统的混沌控制研究  

Study on Chaos Control of Nonlinear Systems with Giant Magnetostrictive Actuator

作　　者：高舒芳 闫洪波[2] 吴凯 GAO Shufang;YAN Hongbo;WU Kai(School of Intelligent Manufacturing,Shanxi Vocational University of Engineering and Technology,Shanxi Jinzhong 030619,China;School of Mechanical Engineering,Inner Mongolia University of Science and Technology,Inner Mongo-lia Baotou 100190,China;Hefei General Machinery Research Institute Co.,Ltd.,Anhui Hefei 230031,China)

机构地区：[1]山西工程科技职业大学智能制造学院,山西晋中030619 [2]内蒙古科技大学机械工程学院,内蒙古包头100190 [3]合肥通用机械研究院有限公司,安徽合肥230031

出　　处：《机械设计与制造》2025年第2期37-41,共5页Machinery Design & Manufacture

基　　金：内蒙古自然科学基金项目(2020LH05023)。

摘　　要：针对超磁致伸缩致动器(Giant Magnetostrictive Actuator,GMA)动力学中存在混沌现象,降低系统输出稳定性的问题,这里设计了一种位移时滞反馈控制器用于抑制系统中存在的混沌运动。首先基于安培电路定律、非线性二次畴转模型和结构动力学方程,建立了GMA的电-磁耦合动态数学模型;其次通过MATLAB数值模拟研究无量纲激振力对GMA系统的影响规律,从定性和定量的角度分析GMA系统的分岔和混沌现象;最后利用位移时滞反馈控制器抑制GMA系统的混沌运动。研究结果表明:GAM系统在一定参数条件下具有混沌特性;增大位移反馈增益系数能够有效消除GMA系统中的混沌现象,对提高系统的输出稳定性具有一定的指导作用。In response to the problem of chaos in the dynamics of Giant Magnetostrictive Actuator(GMA)and the reduction of sys⁃tem output stability,it designs a displacement delay feedback controller to suppress the chaotic motion present in the system.First⁃ly,based on ampere circuit law,nonlinear quadratic domain transition model,and structural dynamics equation,a dynamic mathematical model of GMA electromagnetic coupling was established.Secondly,the influence of dimensionless excitation force on the GMA system was studied through MATLAB numerical simulation,and the bifurcation and chaos phenomena of the GMA system were analyzed qualitatively and quantitatively.Finally,a displacement delay feedback controller is used to suppress the chaotic motion of the GMA system.The research results indicate that the GAM system exhibits chaotic characteristics under certain parameter conditions.Increasing the displacement feedback gain coefficient can effectively eliminate chaotic phenomena in GMA systems and provide guidance for improving the output stability of the system.

关 键 词：超磁致伸缩致动器 位移时滞反馈 稳定性 混沌运动 

分 类 号：TH16[机械工程—机械制造及自动化] TH122TH113.1