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

doi:10.3901/JME.2022.23.151

Abstract

Abstract: 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.

Key words: giant magnetostrictive actuator, fractional calculus, bifurcation, chaotic characteristics, qualitative and quantitative analysis

CLC Number:

O332

YAN Hongbo, FU Xin, WANG Jianxin, YU Juncheng. Nonlinear Dynamics Study of Giant Magnetostrictive Actuator Systems Based on Fractional Damping[J]. Journal of Mechanical Engineering, 2022, 58(23): 151-163.

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