Changes of Natural Frequency of a Ferromagnetic Rod in Magnetic Field Due to Magnetoelastic Interaction

WANG Xing-zhe

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WANG Xing-zhe. Changes of Natural Frequency of a Ferromagnetic Rod in Magnetic Field Due to Magnetoelastic Interaction[J]. Applied Mathematics and Mechanics, 2008, 29(8): 927-935.

Citation:

WANG Xing-zhe. Changes of Natural Frequency of a Ferromagnetic Rod in Magnetic Field Due to Magnetoelastic Interaction[J]. Applied Mathematics and Mechanics, 2008, 29(8): 927-935.

Citation:

WANG Xing-zhe. Changes of Natural Frequency of a Ferromagnetic Rod in Magnetic Field Due to Magnetoelastic Interaction[J]. Applied Mathematics and Mechanics, 2008, 29(8): 927-935.

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Changes of Natural Frequency of a Ferromagnetic Rod in Magnetic Field Due to Magnetoelastic Interaction

WANG Xing-zhe

Key Laboratory of Mechanics on Western Disasters and Environment, Ministry of Education of China;College of Civil Engineering and Mechanics, Lanzhou University, Lanzhou 730000, P. R. China

Received Date: 2007-12-20
Rev Recd Date: 2008-06-30
Publish Date: 2008-08-15

Abstract

Abstract

Based on magnetoelastic generalized variational principle and Hamilton's principle,a dynamic theoretical model characterizing the magnetoelastic interaction of a soft ferromagnetic medium in an applied magnetic field is developed.Fhom variational manipulation respectively on magnetic scale potential and elastic displacement,the all fundamental equations for the magnetic field and mechanical deformation,as well as the the magnetic body force and magnetic traction for describing magnetoelastic interaction,were derived.The theoretical model was applied to a ferromagnetic rod vibrating in an applied magnetic field by means of pertrubation technique and Galerldn method.The results show that the magnetic field will change the natural frequenaes of the ferromagnetic rod by decrease as the bending motion along the applied magnetic field where the magnetoelastic buckling will take place,but by increase when bending motion of the rod is perpendicular to the field.The prediction by the model qualitatively agrees with the natural fiequency changes of the ferromagnetic rod observed in the experiment.
- ferromagnetic rod,
- magnetoelastic interaction,
- generalised variational principle,
- vibrationfrequency,
- perturbation method

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References(15)

References

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