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Size-dependent vibration analysis of the simply supported functionally graded porous material Al-Al2O3 rectangle microplates based on the modified couple stress theory with innovative consideration of neutral plane and scale distribution

Shaonan Shi (School of Power and Mechanical Engineering, Wuhan University, Wuhan, China)
Feixiang Tang (School of Power and Mechanical Engineering, Wuhan University, Wuhan, China)
Yongqiang Yu (School of Power and Mechanical Engineering, Wuhan University, Wuhan, China)
Yuzheng Guo (School of Electrical and Automation, Wuhan University, Wuhan, China)
Fang Dong (The Institute of Technological Sciences, Wuhan University, Wuhan, China)
Sheng Liu (School of Power and Mechanical Engineering, Wuhan University, Wuhan, China)

Multidiscipline Modeling in Materials and Structures

ISSN: 1573-6105

Article publication date: 30 January 2024

Issue publication date: 8 March 2024

59

Abstract

Purpose

Hoping to uncover the physical principles of the vibration of the functionally graded material (FGM) microplate, by which the authors can make contributions to the design and manufacturing process in factories like micro-electro-mechanical system (MEMS) and other industries.

Design/methodology/approach

The authors design a method by establishing a reasonable mathematical model of the physical microplate composed of a porous FGM.

Findings

The authors discover that the porosity, the distributions of porosity, the power law of the FGM and the length-to-thickness ratio all affect the natural frequency of the vibration of the microplate, but in different ways.

Originality/value

Originally proposed a model of the micro FGM plate considering the different distributions of the porosity and scale effect and analyzed the vibration frequency of it.

Keywords

Acknowledgements

This work was supported by the National Key R&D Program of China (No. 2022YFB3207100) and the Hubei Provincial Strategic Scientist Training Plan (No. 2022EJD009).

Citation

Shi, S., Tang, F., Yu, Y., Guo, Y., Dong, F. and Liu, S. (2024), "Size-dependent vibration analysis of the simply supported functionally graded porous material Al-Al2O3 rectangle microplates based on the modified couple stress theory with innovative consideration of neutral plane and scale distribution", Multidiscipline Modeling in Materials and Structures, Vol. 20 No. 2, pp. 229-246. https://doi.org/10.1108/MMMS-09-2023-0314

Publisher

:

Emerald Publishing Limited

Copyright © 2023, Emerald Publishing Limited

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