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

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.

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