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

Issue title: Selected papers from the International Symposium on Applied Electromagnetics and Mechanics - ISEM 2019

Guest editors: Jinhao Qiu, Ke Xiong and Hongli Ji

Article type: Research Article

Authors: Ngouala, Benhy^a | Liu, Fang^a | Xu, Jia^a | Zhu, Zhi-Wen^b;

Affiliations: [a] Department of Mechanics, Tianjin University, Tianjin, China | [b] Tianjin Key Laboratory of Nonlinear Dynamics and Control, Tianjin, China

Correspondence: [*] Corresponding author: Zhi-Wen Zhu, Deparment of Mechanics, Tianjin University, 92 Weijin Road, Nankai District, Tianjin 300072, China. E-mail: [email protected]

Abstract: 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.

Keywords: Magnetic shape memory alloy (MSMA), stochastic excitation, actuator, stochastic optimal control

DOI: 10.3233/JAE-209473

Journal: International Journal of Applied Electromagnetics and Mechanics, vol. 64, no. 1-4, pp. 1523-1529, 2020