Magneto-thermoelastic free vibration and traveling wave stability of a rotating ferromagnetic functionally graded cylindrical shell

IF 2.2 3区工程技术 Q2 MECHANICS Archive of Applied Mechanics Pub Date : 2024-11-27 DOI:10.1007/s00419-024-02728-w

Feng Liao, Yuda Hu

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Abstract

The free vibration and traveling wave stability of a rotating ferromagnetic functionally graded cylindrical shell in magnetic and temperature fields are explored. The geometric and physical equations are determined within the framework of the Love’s theory. The expressions of kinetic energy and strain energy are obtained by considering temperature and rotation effects. The magnetoelastic theory is employed to establish a model of magnetic force. By using Hamilton’s principle and Galerkin truncation, the governing equations are obtained. The effects of different parameters on the natural frequencies of forward and backward waves are determined. It is found that the natural frequency undergoes separation of forward and backward waves due to the Coriolis force; with increase in the circumferential wave number, the frequency shows a trend of first decreasing and then increasing. The coupling effect of the magnetic induction intensity, rotational speed, power–law index, and thickness-to-diameter ratio leads to the nonlinear trend of frequencies. In addition, the influence of different parameter variations on the traveling wave stability is discussed.

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旋转铁磁功能分级圆柱壳的磁热弹自由振动和行波稳定性

研究探讨了旋转铁磁功能分级圆柱壳在磁场和温度场中的自由振动和行波稳定性。在洛夫理论框架内确定了几何和物理方程。通过考虑温度和旋转效应，得到了动能和应变能的表达式。利用磁弹性理论建立了磁力模型。利用汉密尔顿原理和 Galerkin 截断法，得到了控制方程。确定了不同参数对前向波和后向波固有频率的影响。结果发现，在科里奥利力的作用下，固有频率发生了前向波和后向波的分离；随着圆周波数的增加，频率呈现先减小后增大的趋势。磁感应强度、转速、幂律指数和厚径比的耦合效应导致了频率的非线性变化趋势。此外，还讨论了不同参数变化对行波稳定性的影响。

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来源期刊

Archive of Applied Mechanics 物理-力学

CiteScore

4.40

自引率

10.70%

发文量

234

审稿时长

4-8 weeks

期刊介绍： Archive of Applied Mechanics serves as a platform to communicate original research of scholarly value in all branches of theoretical and applied mechanics, i.e., in solid and fluid mechanics, dynamics and vibrations. It focuses on continuum mechanics in general, structural mechanics, biomechanics, micro- and nano-mechanics as well as hydrodynamics. In particular, the following topics are emphasised: thermodynamics of materials, material modeling, multi-physics, mechanical properties of materials, homogenisation, phase transitions, fracture and damage mechanics, vibration, wave propagation experimental mechanics as well as machine learning techniques in the context of applied mechanics.