Nonlinear Dynamics Study of Giant Magnetostrictive Actuator Systems Based on Fractional Damping

被引：0
|
作者：
Yan H. [1 ]
Fu X. [1 ]
Wang J. [1 ]
Yu J. [1 ]
机构：
[1] College of Mechanical Engineering, Inner Mongolia University of Science & Technology, Baotou
来源：
Jixie Gongcheng Xuebao/Journal of Mechanical Engineering | 2022年 / 58卷 / 23期
关键词：
bifurcation; chaotic characteristics; fractional calculus; giant magnetostrictive actuator; qualitative and quantitative analysis;
D O I：
10.3901/JME.2022.23.151
中图分类号：
学科分类号：
摘要：
To better further reveal the inherent mechanism and dynamic characteristics of the nonlinear motion of the giant magnetostrictive actuator (GMA) system, based on the fractional calculus theory, a GMA dynamic system model is extended to the fractional order, and a model containing fractional damping is established. The nonlinear GMA dynamic system equation is based on the average method to analyze the main resonance of the system, and the amplitude-frequency response equation of the system is obtained; the numerical solution of the system is solved by the power series method, and the different excitation amplitudes and damping orders are analyzed by Matlab numerical simulation. Influence mechanism on GMA system, study the bifurcation and chaotic motion phenomenon of the system from the qualitative and quantitative point of view. The results show that the excitation amplitude and damping order have a significant impact on the amplitude-frequency characteristics of the system; the damping order has a great influence on the bifurcation and chaotic behavior of the system; the dynamics of the system are caused by the change of the excitation amplitude under different damping orders The behavior is similar but the chaos area is different. This research is helpful to better understand the dynamic characteristics of the GMA system and provides a new perspective for controlling the stable operation of the GMA system in engineering practice. © 2022 Editorial Office of Chinese Journal of Mechanical Engineering. All rights reserved.
引用
收藏
页码：151 / 163
页数：12
相关论文
共 29 条
  • [1] SHIN-ICHI Y, TAKASHI N, YUKI K, Et al., Production of vibration energy harvester with impact-sliding structure using magnetostrictive Fe-Co-V alloy rod, Journal of Magnetism and Magnetic Materials, 514, 1, pp. 1-9, (2020)
  • [2] FANG Zhiwei, ZHANG Yewei, LI Xiang, Et al., Integration of a nonlinear energy sink and a giant magnetostrictive energy harvester, Journal of Sound and Vibration, 391, pp. 35-49, (2017)
  • [3] YU Caofeng, WANG Chuanli, XIE Tian, Et al., Development of high performance micro positioning table driving system based on GMM, Journal of Mechanical Engineering, 55, 9, pp. 136-143, (2019)
  • [4] ZHANG Ting, YANG Bintang, LI Hongguang, Et al., Dynamic modeling and adaptive vibration control study for giant magnetostrictive actuators, Sensors & Actuators a Physical, 190, pp. 96-105, (2012)
  • [5] XU Wenbing, Research on structural optimization design and control of giant magnetostrictive linear motor, (2011)
  • [6] ZHANG Hengtong, Research on driving and precision control technology of giant magnetostrictive actuator, (2020)
  • [7] BRAGHIN F, CINQUEMANI S, RESTA F., A low frequency magnetostrictive inertial actuator for vibration control Science Direct, Sensors & Actuators A Physical, 180, 6, pp. 67-74, (2012)
  • [8] XU Feng, ZHANG Hu, JIANG Chengbao, Et al., Designing and performance research of giant magnetostrictive actuator, Acta Aeronautica Et Astronautica Sinica, 23, 6, pp. 552-555, (2002)
  • [9] ZHENG Wenxuan, TANG Zhifeng, YANG Changqun, Et al., Hysteresis compensation method for magnetostrictive displacement sensor based on preisach model, Chinese Journal of Scientific Instrument, 42, 5, pp. 79-89, (2021)
  • [10] YI Sicheng, YANG Bintang, MENG Guang, Ill-conditioned dynamic hysteresis compensation for a low-frequency magnetostrictive vibration shaker, Nonlinear Dynamics, 96, 1, pp. 535-551, (2019)
123