含分数阶阻尼的超磁致伸缩致动器共振特性研究  

Research on Resonance Characteristics of Giant Magnetostrictive Actuators with Fractional Order Damping

作　　者：许辰雨[1] 李洪珠[2] 周亚夫[1] XU Chenyu;LI Hongzhu;ZHOU Yafu(Beijing Polytechnic College,Beijing 100042,China;Faculty of Electrical and Control Engineering,Liaoning Techni-cal University,Liaoning Fuxin 123000,China)

机构地区：[1]北京工业职业技术学院,北京100042 [2]辽宁工程技术大学电气与控制工程学院,辽宁阜新123000

出　　处：《机械设计与制造》2025年第4期102-107,共6页Machinery Design & Manufacture

基　　金：北京市教育委员会科研项目(KM201710853004)。

摘　　要：为更精确表达超磁致伸缩致动器(Giant Magnetostrictive Actuator,GMA)的动力学特性,研究了含分数阶阻尼项GMA系统的共振特性;基于平均法获得GMA系统的近似解析解,并利用MATLAB数值模拟研究了分数阶阻尼系数和分数阶次对GMA系统的影响规律。研究结果表明:分数阶GMA系统比整数阶GMA系统能更好地表征其动力学特性,分数阶次为0.85时与实际情况更为吻合;分数阶阻尼项系数和阶次不仅影响GMA系统的主共振峰值和频率,还影响系统的动力传递函数。该研究结果可为控制和预测系统的输出响应提供一定的理论依据和技术支持。To better accurately express the dynamic characteristics of giant magnetostrictive actuator(GMA),the resonance char⁃acteristics of GMA systems with fractional order damping terms were studied;Based on the averaging method,an approximate an⁃alytical solution of the GMA system was obtained,and the influence of fractional damping coefficient and fractional order on the GMA system was studied using MATLAB numerical simulation.The research results indicate that the fractional order GMA sys⁃tem can better characterize its dynamic characteristics than the integer order GMA system,and the fractional order of 0.85 is more consistent with the actual situation.The fractional damping coefficient and order not only affect the main resonance peak and fre⁃quency of the GMA system,but also affect the dynamic transfer function of the system.The research results provide a certain theo⁃retical basis and technical support for controlling and predicting the output response of the system.

关 键 词：超磁致伸缩致动器 分数阶阻尼 解析解 共振特性 

分 类 号：TH16[机械工程—机械制造及自动化] TH113.1