A theoretical model of magnetoelastic bucking for soft ferromagnetic thin plates

Zhou, Youhe; Zheng, Xiaojing

doi:10.1007/bf02486808

Cited by 31 publications

(4 citation statements)

References 6 publications

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“…There is a magnetic constitutive equation of linear condition for the soft ferromagnetic materials [33]: M = H or B = 0 r H: (10) The force of body f = f x i + f y j + f z k, body couple c = c x i + c y j + c z k, and normal components q Mech (x; y; h/2) of the external mechanical force on the faces of the plate are identi ed. Based on the thin plates theory [24], the equivalent lateral force can be obtained q z (x; y) as [33]:…”

Section: Magnetic Elds Equationsmentioning

confidence: 99%

Effect of magnetic field of conductor with current on vibrations of magneto-elastic plate Structures

et al. 2023

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The main objective of this study is to investigate the vibration behavior of soft magnetoelastic plates mounted close to the rectangular conductors conducting current that can be e ciently applicable in structures. New relationships are derived for electromagnetic interaction forces with magnetoelastic plates using the general form of Maxwell's equations and Lorentz forces. Based on von-K am an strain-displacement relations and Hamilton's principle, nonlinear di erential equations are further derived for the plate through classical rst-order shear deformation theory. This research numerically investigates how di erent parameters a ect the resonance features of these plates by discretizing the nonlinear equations based on Galerkin method. The obtained results demonstrate that the intensity of the magnetic eld and electric current profoundly a ects the vibration behavior of the plates. Through these e ects, loss of energy will happen in the plate which in turn results in a decrease in the oscillation amplitude over time.

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Section: Magnetic Elds Equationsmentioning

confidence: 99%

Effect of magnetic field of conductor with current on vibrations of magneto-elastic plate Structures

et al. 2023

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“…. Moon and Pao's model is acceptable when the length-tothickness ratio of the ferromagnetic beam is greater than 100-200 [24,25]; this requirement is met by the VEMR core.…”

Section: Magnetoelastic Forcementioning

confidence: 99%

Effect of magneto-elastic force on magneto-dynamic model of viscoelastic-magnetorheological sandwiches

Irazu

Elejabarrieta

2019

Smart Mater. Struct.

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A new numerical magneto-dynamic model of viscoelastic-magnetorheological sandwiches is developed and validated with experimental results. The novelty of the model is that, in addition to the magnetorheological effect of the core, it also contemplates the magneto-elastic force generated in the sandwich as a result of the interaction between the magnetic vibrating sandwich and the applied magnetic field. The numerical results show the effect of magneto-elastic force on the magneto-dynamic behaviour of the sandwich in decreasing the natural frequency of the structure. Increasing the intensity of the magnetic field, the natural frequency and the vibration amplitude of the sandwich decrease in the first vibration mode, which agrees with experimental results observed in the literature. To the author's best knowledge, this is the first time magneto-elastic force has been identified as the mechanism responsible for decreasing the natural frequencies of viscoelasticmagnetorheological sandwiches and that this magneto-dynamic behaviour has been represented.

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“…Mol'chenko [1] studied the stress and strain state of current-carrying plates and shells. Youhe Zhou and Xiaojing Zheng [2,3] made some new achievements in solid mechanics of the electromagnetic structure. Yuda Hu [4] provided the magneto-elastic vibration equations of thin plates and shells.…”

Section: Introductionmentioning

confidence: 99%

The Nonlinear Random Vibration of a Clamped Rectangular Thin Plate in Magnetic Field

Wang

Han

et al. 2014

AMM

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In this paper, the magneto-elastic nonlinear random vibration of a clamped rectangular thin plate in magnetic field is studied. According to the magneto-elastic theory of plates and shells and the theory of structural random vibration, the magneto-elastic nonlinear random vibration equation of a clamped rectangular thin plate in a magnetic field is derived. Then the nonlinear random vibration equation is transferred into the Ito differential equation, and the Ito differential equation is solved using FPK equation method. Thus the numerical characteristics of displacement response and velocity response of the rectangular thin plate are obtained. Finally, through a numerical example, the influences of magnetic field parameters on the numerical characteristics are discussed, and some methods which can be used to effectively control the random vibration responses of the plate are given.

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A theoretical model of magnetoelastic bucking for soft ferromagnetic thin plates

Cited by 31 publications

References 6 publications

Effect of magnetic field of conductor with current on vibrations of magneto-elastic plate Structures

Effect of magnetic field of conductor with current on vibrations of magneto-elastic plate Structures

Effect of magneto-elastic force on magneto-dynamic model of viscoelastic-magnetorheological sandwiches

The Nonlinear Random Vibration of a Clamped Rectangular Thin Plate in Magnetic Field

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