A Magnetoelastic Coupling Dynamical Model for Functional Gradient Shells Under Magnetic Field Actions

HU Yuda; LIAO Feng

doi:10.21656/1000-0887.440048

Volume 44 Issue 11

Nov. 2023

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HU Yuda, LIAO Feng. A Magnetoelastic Coupling Dynamical Model for Functional Gradient Shells Under Magnetic Field Actions[J]. Applied Mathematics and Mechanics, 2023, 44(11): 1341-1353. doi: 10.21656/1000-0887.440048

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A Magnetoelastic Coupling Dynamical Model for Functional Gradient Shells Under Magnetic Field Actions

doi: 10.21656/1000-0887.440048

HU Yuda^{1, 2
,
,},
LIAO Feng^{1, 2}

1.
School of Civil Engineering and Mechanics, Yanshan University, Qinhuangdao, Hebei 066004, P.R.China
2.
Hebei Key Laboratory of Mechanical Reliability for Heavy Equipment and Large Structures, Yanshan University, Qinhuangdao, Hebei 066004, P.R.China

Received Date: 2023-02-27
Rev Recd Date: 2023-05-24
Publish Date: 2023-11-01

Abstract

Abstract

For metal-ceramic functional gradient cylindrical shells in electromagnetic fields, the nonlinear constitutive relations were determined based on the geometry and Hooke's law on the physical neutral surface. According to the Kirchhoff-Love theory, the strain energy expression and the kinetic energy expression with its variational operator were given for the heterogeneous elastic shell. The model of the eddy current Lorentz force and the magnetization force for ferromagnetic functional gradient shells under electromagnetic field actions, was derived with the electromagnetic elasticity theory. The magnetoelastic coupling nonlinear vibration equations for the shell were obtained by means of Hamilton's variational principle, and the dynamical model describing the coupling characteristics of the deformation field and the electromagnetic field was established for functional gradient structures. Through numerical examples for natural vibrations of functional gradient shells, the characteristic equation and the natural frequency variation law were obtained. The results show that, the natural frequency decreases with the magnetic induction intensity and the material volume fraction index, and the phenomenon of minimum frequency will occur in the circumferential wave number influence curves. This study provides a reference for the theoretical modeling and dynamic analysis of multi-field coupling systems.
- functional gradient cylindrical shell,
- magnetoelasticity,
- dynamical model,
- electromagnetic field,
- Hamilton's variational principle

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References(35)

References

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