Free vibration of porous FG magneto-electro-elastic microbeams in the hygrothermal environment based on differential transformation method

IF 2.4 3区材料科学 Q3 MATERIALS SCIENCE, MULTIDISCIPLINARY Journal of Intelligent Material Systems and Structures Pub Date : 2023-10-09 DOI:10.1177/1045389x231197731

Yuewen Zhang, Yansong Li, Shu Li

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Abstract

Free vibration of the porous functionally graded magneto-electro-elastic (FGMEE) microbeams in hygrothermal environment is investigated. Four kinds of distributions of porosities including uniform porosity, “O,”“X,” and “V” type porosities are assumed in this paper. For the functionally graded microbeam, the physical neutral surface is considered. The modified couple stress theory is adopted to capture the size effect. The equations of motion for the porous FGMEE microbeam are derived and solved by differential transformation method. In the numerical examples, the effect of electric and magnetic loadings, material length scale parameter, the temperature rise, the moisture concentration, material gradient index, and porosity volume fraction on the natural frequency are analyzed and discussed in detail. The results indicate that different porous distribution modes have different effects on natural frequency. Moisture concentration/temperature rise can reduce the natural frequency regardless of what the temperature and moisture modes is. These results will be useful for the design of the porous FGMEE structures.

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基于微分变换法的多孔FG磁电弹性微梁在湿热环境下的自由振动

研究了多孔功能梯度磁电弹性(FGMEE)微梁在湿热环境中的自由振动。本文假设了均匀孔隙度、“O”型、“X”型和“V”型孔隙度四种孔隙度分布。对于功能梯度微光束，考虑了物理中性表面。采用修正的偶应力理论来捕捉尺寸效应。推导了多孔FGMEE微梁的运动方程，并用微分变换法求解。在数值算例中，详细分析和讨论了电磁载荷、材料长度尺度参数、温升、水分浓度、材料梯度指数和孔隙体积分数对固有频率的影响。结果表明，不同的孔隙分布方式对固有频率有不同的影响。无论温度和湿度模式是什么，湿度浓度/温度升高都会降低固有频率。这些结果将为FGMEE多孔结构的设计提供参考。

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来源期刊

Journal of Intelligent Material Systems and Structures 工程技术-材料科学：综合

CiteScore

5.40

自引率

11.10%

发文量

126

审稿时长

4.7 months

期刊介绍： The Journal of Intelligent Materials Systems and Structures is an international peer-reviewed journal that publishes the highest quality original research reporting the results of experimental or theoretical work on any aspect of intelligent materials systems and/or structures research also called smart structure, smart materials, active materials, adaptive structures and adaptive materials.