Nonlinear dynamic characteristics and optimal control of MSMA actuator subjected to harmonic magnetic field and stochastic excitation

2020 ◽  
Vol 64 (1-4) ◽  
pp. 1523-1529
Author(s):  
Benhy Ngouala ◽  
Fang Liu ◽  
Jia Xu ◽  
Zhi-Wen Zhu

A novel magnetic shape memory alloy (MSMA) actuator is proposed in this paper, which has fast response speed and large deformation, and its nonlinear dynamic response and control are studied. A new differential term is developed to explain the MSMA’s stress-strain curves. The dynamic model of the MSMA actuator subjected to harmonic magnetic field and random disturbance is established, and its nonlinear dynamic characteristics are obtained. Finally, the stochastic dynamic programming control is introduced to enhance the drive accuracy. The results show that the perturbation plays an important role in the system’s dynamic response; dynamic programming control can improve the actuator’s accuracy in strong stochastic perturbation. These results will be helpful for the optimal design and development of MSMA actuators.

2019 ◽  
Vol 83 ◽  
pp. 01010
Author(s):  
Xin-Miao Li ◽  
Zhi-Wen Zhu ◽  
Qing-Xin Zhang

A kind of constitutive model of SMA is proposed in this paper, and the nonlinear dynamic response of a SMA gripper under bounded noise is studied. The harmonic driving signals and the random disturbance made up of bounded noise. The dynamic model of the system is established by Hamilton principle. The numerical and experimental results show that there is stochastic resonance in the system; the system’s vibration amplitude reaches the most when the outside excitation is moderate.


2015 ◽  
Vol 764-765 ◽  
pp. 747-751
Author(s):  
Zhi Wen Zhu ◽  
Xin Miao Li ◽  
Jia Xu

A kind of hysteretic nonlinear model of magnetic shape memory alloy (MSMA) was developed in this paper, and the nonlinear dynamic characteristics of MSMA actuator were investigated. Van der Pol nonlinear item were introduced to interpret the hysteretic phenomena of strain-magnetic field intensity (MFI) curves of MSMA, and the constitutive relationship among strain, stress and MFI was obtained in partial least-square regression method to describe the variation of strain-MFI curves with stress. The result of significance test shows that all of the items in the constitutive model are significant, and the result of forecast test shows that the model can describe the hysteretic nonlinear characteristics of strain-MFI curves of MSMA in different stress well. Based on the MSMA model, the magneto-mechanical coupled model of MSMA actuator was developed, and the relationship between input magnetic signal and output displacement was obtained. The nonlinear dynamic characteristics of MSMA actuator were discussed, and phenomena of accuracy aggravation of MSMA actuator in high-frequency magnetic field were explained. Finally the theoretical results were proved by experiment. The new MSMA model has simple form and is easy to be analyzed in theory, which is helpful for the application of MSMA actuator in engineering fields.


2016 ◽  
Vol 40 (4) ◽  
pp. 551-561
Author(s):  
Zhi-Wen Zhu ◽  
Xin-Miao Li ◽  
Jia Xu

A kind of hysteretic nonlinear model of magnetic shape memory alloy (MSMA) is developed in this paper, and the nonlinear dynamic characteristics of a MSMA actuator are studied. Nonlinear differential items are introduced to explain the hysteretic phenomena of MSMA, and the magneto-mechanical coupled model of MSMA actuator in harmonic magnetic fields is developed. The relationship between input magnetic signal and output displacement is obtained, and the phenomena of the MSMA actuator’s accuracy aggravation in high-frequency magnetic field are explained. The theoretical and experimental results show that there are multiple frequencies in the response of the system, and the system’s motions change from periodic orbits to chaos with the increase in the level of the input magnetic signals; the multi-frequency vibration is induced by the hysteretic nonlinear characteristics of magnetic shape memory alloy.


Author(s):  
Reza Zarghami ◽  
Navid Mostoufi ◽  
Rahmat Sotudeh-Gharebagh ◽  
Jamal Chaouki

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