Magnetoelastic vibrations of a thin ferromagnetic plate in a transverse magnetic field
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Abstract
This paper includes an extensive investigation of the magnetoelastic vibration mechanism in a thin ferromagnetic plate, when exposed to an external transverse magnetic field. The paper features a detailed analysis of the physical character of magneto-mechanical coupling, the effect of the electromagnetic stresses in the plate material in shaping dynamic behaviour and the dynamics of altering the vibration characteristics as the magnetic field strength is intensified. Theoretical arguments that prove the changes in the frequency of vibration, amplitude, and mode shapes of the ferromagnetic plate are supported based on a magneto-mechanical coupling model. Moreover, a computational model is constructed based on taking into account the boundary conditions, material constants to determine the time-dependent vibration response, and the interaction of elastic and magnetic fields is estimated with the help of the numerical ones.
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References
Grigorenko Y.M. and Mol‘chenko L.V. Fundamentals of the Theory of Plates and Shells with Elements of Magnetoelasticity (Textbook) (IPTs, 2010).
Kuang Z.B. Acta Mech. 225, 1153–1166 (2014). https://doi.org/10.1007/s00707-013-1062-4.
Mol‘chenko L.V., Loos I.I., and Indiaminov R.S. Determining the stress state of flexible orthotropic shells of revolution in magnetic field. Int. Appl. Mech 44, 882–891 (2008). https://doi.org/10.1007/s10778-008-0102-6.
Mol‘chenko L.V., Loos I. I. and Indiaminov R.S. Stress–strain state of flexible ring plates of variable stiffness in a magnetic field. Int. Appl. Mech. 45, 1236–1242 (2009). https://doi.org/10.1007/s10778-010-0264-x.
Indiaminov R. On the absence of the tangential projection of the lorenz force on the axsymmetrical stressed state of current-carrying conic shells. Int. Jour.Comp. Techn. 13, 65–77.
Bian Y.H. and Zhao H.T. Analysis of thermal-magnetic-elastic stresses and strains in a thin current-carrying cylindrical shell. Int. Appl. Mech., 52, No. 4, 437–448.
Indiaminov R.Sh. Magnetoelastic deformation of a current-carrying orthotropic conical shell with an orthotropy of conductive properties. Bulletin of the University of Kiev 5, 81–86.
Indiaminov R., Butaev R., Narkulov A. Nonlinear deformation of a current shell in a magnetic field. AIP Conference Proceedings, 2021, 2365, 02 0001. https://doi.org/10.1063/5.0056839.
Indiaminov R. et al. Nonlinear Strain of a Current-Conducting Annular Plate in a Magnetic Field”. Journal: AIP Conference Proceedings 2467, 060026 (2022); https://doi.org/ 10.1063/5.0092485.
Indiaminov R., Shodmonov J., Narkulov A., Butaev R., Kholjigitov S. and Abdullaev A. Mathematical Modeling of Layered Shells Strain in Magnetic Field // Cite as: Journal AIP Conference Proceedings. 3147, 030009 (2024) https://doi.org/10.1063/5.0210314.
Indiaminov R. and Yusupov N. Mathematical Modeling of Magnetoelastic Vibrations of Current Conductive Shells in the Non Stationary Magnetic Field. 2021 International Conference on Information Science and Communications Technologies (ICISCT), 2021, pp. 1-4.
Indiaminov R. et al. Nonlinear Oscillations of a Current-Carrying Shell in Magnetic Field. Journal: AIP Conference Proceedings 2467, 020013 (2022); https://doi.org/10.1063/ 5.0092465.
Indiaminov R., Djuraev A., Shodmonov J., Indiaminov M. Nonlinear strain of flexible shells in a magnetic field. // Journal AIP Conference Proceedings. 3265, 050015 (2025). https://doi.org/10.1063/5. 0265269.
Zarpullayev U.X., Uzoqova G.U. A Model of Forced Vibrations of a Thin Plate with Simply Supported Edges // Science And Innovation International Scientific Journal Volume 4 Issue 12 December 2025.ISSN: 2181-3337. https://doi.org/10.5281/zenodo.18150032.
Gurevich A., Melkov G. Magnetization Oscillations and Waves, CRC Press, 1996.
Jiles D. Introduction to Magnetism and Magnetic Materials, CRC Press, 2015.
Rossi R.E., Mohebbi M. Magnetoelastic vibration analysis of thin ferromagnetic plates under transverse magnetic fields. Journal of Applied Physics, vol. 128, no. 4, 2020.
Kittel C. Introduction to Solid State Physics, Wiley, 9th Ed., 2018.
Landau L.D., Lifshitz E.M. Electrodynamics of Continuous Media, Pergamon Press, 1984.
Vakhitov S.V. Magnetoelastic Coupling in Thin Ferromagnetic Structures. Physics of the Solid State, vol. 57, no. 2, 2015.
Mori T., Nakamura A. Effect of Static Magnetic Field on Vibrational Modes of Ferromagnetic Plates. Journal of Magnetism and Magnetic Materials, vol. 475, 2019.
Van Leer B. Finite Element Analysis of Magnetoelastic Structures, Springer, 2021.