Study of Nonlinear Vibration Behavior of an Electric Current-Carrying Ferromagnetic Plate in Magnetic Field

Document Type : Research Article

Authors

1 هییت علمی

2 PhD student

Abstract

In the present study, considering the magnetic tractions and heat generated by electric current and eddy current, new nonlinear equations have been proposed to investigate the vibrational behavior of ferromagnetic plates carrying an electric current under a magnetic field. After extracting the governing differential equations of the system using Newton's second law, the coupled nonlinear equations are discretized using the Galerkin method and then solved numerically. The numerical results presented in the present study are compared with the results in the technical literature and then the effect of different parameters on the vibration characteristics of soft ferromagnetic plates is investigated. The results show that the magnetic field and electric current have a significant effect on the vibration behavior of the plate and lead to an increase in the amplitude oscillations of the system. The presence of a magnetic field reduces the equivalent stiffness of the plate and increases it, resulting in static instability in the system. Also, by considering the force created by magnetic tractions, a static rise is created in the plate and affects its steady-state response. In the study of thermal effects, it was found that the assumption of thermal coupling increases the natural frequency of the plate. 

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References

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Amirkabir Journal of Mechanical Engineering
Volume 54, Issue 6
September 2022
Pages 1303-1318

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