Investigation on free vibration of bi-anisotropic porous FG microbeam under MGT generalized thermoelasticity

IF 6.4 2区工程技术 Q1 MECHANICS

International Communications in Heat and Mass Transfer Pub Date : 2025-05-20 DOI:10.1016/j.icheatmasstransfer.2025.109103

Liang Ren, Xinfei Zhang, Tengjie Wang, Tianhu He

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引用次数: 0

Abstract

In recent years, numerous studies were conducted to analyze the vibration characteristics of various functionally graded (FG) micro structures by taking the size-dependent effect into consideration. Nevertheless, most of them mainly focus on the mechanical characteristics from the viewpoint of single elastic field while few of them addressed the thermoelastic characteristics from the viewpoint of thermoelastic coupling. To fill this gap, this study devotes to investigating the free vibration of a bi-anisotropic porous FG microbeam based on Euler-Bernoulli beam theory by incorporating the modified couple stress theory, surface effect, and the Moore-Gibson-Thompson (MGT) heat conduction model along with magnetic field effect. The material properties of the bi-anisotropic porous functionally graded materials (FGMs) are determined through a modified linear mixing rule. The governing equations are formulated and the natural frequency is obtained by solving them using the Navier's method. The influences of four porous distribution types, material characteristic length parameter, surface effect, porous volume fraction and FG parameter on the dimensionless natural frequency are discussed under the scenario of a magnetic field.

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MGT广义热弹性下双各向异性多孔FG微梁的自由振动研究

近年来，人们进行了大量研究，分析了考虑尺寸依赖效应的各种功能梯度（FG）微结构的振动特性。然而，大多数研究主要是从单一弹性场的角度来研究其力学特性，很少从热弹性耦合的角度来研究其热弹性特性。为了填补这一空白，本研究基于欧拉-伯努利梁理论，结合修正的耦合应力理论、表面效应、Moore-Gibson-Thompson （MGT）热传导模型以及磁场效应，研究了双各向异性多孔FG微梁的自由振动。采用改进的线性混合规则确定了双各向异性多孔功能梯度材料的材料性能。建立了控制方程，用纳维耶法求解得到了控制方程的固有频率。在磁场作用下，讨论了四种孔隙分布类型、材料特征长度参数、表面效应、孔隙体积分数和FG参数对无量纲固有频率的影响。

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来源期刊

International Communications in Heat and Mass Transfer 工程技术-力学

CiteScore

11.00

自引率

10.00%

发文量

648

审稿时长

32 days

期刊介绍： International Communications in Heat and Mass Transfer serves as a world forum for the rapid dissemination of new ideas, new measurement techniques, preliminary findings of ongoing investigations, discussions, and criticisms in the field of heat and mass transfer. Two types of manuscript will be considered for publication: communications (short reports of new work or discussions of work which has already been published) and summaries (abstracts of reports, theses or manuscripts which are too long for publication in full). Together with its companion publication, International Journal of Heat and Mass Transfer, with which it shares the same Board of Editors, this journal is read by research workers and engineers throughout the world.