Research on Hysteresis Nonlinear Dynamics of Giant Magnetostrictive Actuator

doi:10.3901/JME.2020.15.207

Abstract

Abstract: A non-linear hysteresis relation is observed between the input currents and output displacements of giant magnetostrictive actuator (GMA). To accurately control the stability of GMA output displacement, non-linear hysteresis dynamic differential equation of GMA system is established according to hysteresis non-linear equation, Jiles-Atherton hysteresis non-linear model, quadratic domain rotation model and GMA structural dynamics principle by analyzing the working principle of GMA. The primary resonance of GMA non-linear hysteresis dynamic system is analyzed by multiple scales method and system amplitude-frequency response curve equation is obtained. Matlab numerical simulation is used to evaluate the mapping between different values of damping coefficient, magnetic field strength, prestress, nonlinear stiffness and output response amplitude of GMA system. Time domain waveform, phase portrait, Poincaré mapping diagrams and amplitude spectrum of GMA system are drawn by changing the magnitudes of exciting force parameters. Four-order Runge-Kutta method is used to solve and draw the response of GMA system for different exciting forces. The obtained results showed that for parameter values assumed here, GMA system showed “jump” and hysteresis phenomena under the action of non-linear disc spring and magnetic field intensity. Under certain parameter values, chaos is observed in GMA system.

Key words: giant magnetostrictive actuator (GMA), non-linear hysteresis, dynamic model, primary resonance, numerical simulation

CLC Number:

O332

YAN Hongbo, GAO Hong, HAO Hongbo. Research on Hysteresis Nonlinear Dynamics of Giant Magnetostrictive Actuator[J]. Journal of Mechanical Engineering, 2020, 56(15): 207-217.

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