Magneto-thermoelastic nonlinear dynamic modeling of a rotating functionally graded shell

IF 2.8 3区工程技术 Q2 MECHANICS

International Journal of Non-Linear Mechanics Pub Date : 2024-06-24 DOI:10.1016/j.ijnonlinmec.2024.104818

Yuda Hu , Tao Yang

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Abstract

Research is conducted on the dynamic modeling of a rotating functionally graded (FG) cylindrical shell subjected to magnetic and temperature fields. Based on the elasticity theory and generalized Hooke's law on the physical neutral surface, nonlinear geometric equations and thermoelastic constitutive relations are determined. According to the Kirchhoff-Love theory, variational formulas of strain energies for deformation, temperature, and centrifugal force are obtained. Considering the rotational effect, the kinetic energy and its variational formula are derived. The electromagnetic force model incorporating magnetization effect of the ferromagnetic FG shell is established by utilizing the electromagnetic theory. Subsequently, the magneto-thermoelastic dynamic model of the rotating FG shell is developed by adopting the Hamilton's principle. The model can reveal the coupling mechanisms of the interaction and superposition of multi-physical fields. Finally, taking the primary resonance as example, detailed numerical analyses are performed to investigate the effects of different parameters on vibration response and dynamical stability.

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旋转功能分级壳体的磁热弹非线性动力学建模

研究对象是受磁场和温度场作用的旋转功能分级（FG）圆柱形壳体的动态模型。根据弹性理论和物理中性面上的广义胡克定律，确定了非线性几何方程和热弹性构成关系。根据基尔霍夫-洛夫理论，得到了变形、温度和离心力的应变能变式。考虑到旋转效应，得出了动能及其变分公式。利用电磁理论建立了包含铁磁性 FG 外壳磁化效应的电磁力模型。随后，利用汉密尔顿原理建立了旋转 FG 外壳的磁热弹性动力学模型。该模型可以揭示多物理场相互作用和叠加的耦合机制。最后，以主共振为例，进行了详细的数值分析，研究了不同参数对振动响应和动力学稳定性的影响。

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来源期刊

International Journal of Non-Linear Mechanics 物理-力学

CiteScore

5.50

自引率

9.40%

发文量

192

审稿时长

67 days

期刊介绍： The International Journal of Non-Linear Mechanics provides a specific medium for dissemination of high-quality research results in the various areas of theoretical, applied, and experimental mechanics of solids, fluids, structures, and systems where the phenomena are inherently non-linear. The journal brings together original results in non-linear problems in elasticity, plasticity, dynamics, vibrations, wave-propagation, rheology, fluid-structure interaction systems, stability, biomechanics, micro- and nano-structures, materials, metamaterials, and in other diverse areas. Papers may be analytical, computational or experimental in nature. Treatments of non-linear differential equations wherein solutions and properties of solutions are emphasized but physical aspects are not adequately relevant, will not be considered for possible publication. Both deterministic and stochastic approaches are fostered. Contributions pertaining to both established and emerging fields are encouraged.

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