帕斯捷尔纳克地基上 FG 磁弹性微梁振动的多场梯度理论

IF 2.3 3区工程技术 Q2 MECHANICS

Acta Mechanica Pub Date : 2024-09-27 DOI:10.1007/s00707-024-04066-y

Y. S. Li, S. Li

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引用次数: 0

摘要

本文提出了一种新颖的磁电弹性（MEE）材料多场梯度理论，包括应变、电动势、磁电动势和惯性梯度。然后，基于多场梯度理论研究了功能分级 MEE（FGMEE）微梁的自由振动。FGMEE 微梁的材料特性沿厚度方向以幂律分布方式连续对称地变化。采用四种长度尺度参数来捕捉 FGMEE 微梁的尺寸效应。根据汉密尔顿原理，推导出 FGMEE 微梁的运动方程，并用微分正交法进行求解。在数值示例中，详细分析和讨论了长度尺度参数、电载荷和磁载荷、地基参数和材料梯度指数对固有频率的影响。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Multifield gradient theory on vibration of FG magneto-electro-elastic microbeams resting on Pasternak foundation

A novel multifield gradient theory for magneto-electro-elastic (MEE) materials including strain, electric and magnetic potentials, and inertia gradients is presented. Then, free vibration of the functionally graded MEE (FGMEE) microbeams based on the multifield gradient theory is investigated. The material properties of the FGMEE microbeams change continuously and symmetrically along the thickness direction in terms of a power-law distribution. Four kinds of length scale parameters are adopted to capture the size effect of the FGMEE microbeams. Based on the Hamilton’s principle, the equations of motion for the FGMEE microbeams are derived, which are solved subsequently by differential quadrature method. In the numerical examples, the effects of length scale parameters, electric and magnetic loadings, foundation parameters, and material gradient index on the natural frequency are analyzed and discussed in detail.

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来源期刊

Acta Mechanica 物理-力学

CiteScore

4.30

自引率

14.80%

发文量

292

审稿时长

6.9 months

期刊介绍： Since 1965, the international journal Acta Mechanica has been among the leading journals in the field of theoretical and applied mechanics. In addition to the classical fields such as elasticity, plasticity, vibrations, rigid body dynamics, hydrodynamics, and gasdynamics, it also gives special attention to recently developed areas such as non-Newtonian fluid dynamics, micro/nano mechanics, smart materials and structures, and issues at the interface of mechanics and materials. The journal further publishes papers in such related fields as rheology, thermodynamics, and electromagnetic interactions with fluids and solids. In addition, articles in applied mathematics dealing with significant mechanics problems are also welcome.