Vibration Analysis of Al–Al<sub>2</sub>O<sub>3</sub> Micro-Cantilever Sandwich Beams with Porosity in Fluids

Vibration Analysis of Al–Al<sub>2</sub>O<sub>3</sub> Micro-Cantilever Sandwich Beams with Porosity in Fluids

The vibration of porous Al–Al<sub>2</sub>O<sub>3</sub> micro-cantilever sandwich beams in fluids was studied utilizing the modified couple stress theory and the scale distribution theory (MCST and SDT). Four types of porosity distributions were defined; the uniform distributi...

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Bibliographic Details
Main Authors: Feixiang Tang, Xiong Yuan, Siyu He, Jize Jiang, Shaonan Shi, Yuhan Li, Wenjin Liu, Yang Zhou, Fang Dong, Sheng Liu
Format: Article
Language:English
Published: MDPI AG 2025-02-01
Series:Micromachines
Subjects:
vibration analysis
pores distribution
scale effects
micro-cantilever beam
FGM sandwich
Online Access:https://www.mdpi.com/2072-666X/16/2/206
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Summary:The vibration of porous Al–Al<sub>2</sub>O<sub>3</sub> micro-cantilever sandwich beams in fluids was studied utilizing the modified couple stress theory and the scale distribution theory (MCST and SDT). Four types of porosity distributions were defined; the uniform distribution of pores was defined as U-type, while O-type, V-type and X-type represented non-uniform distributions of pores. The material properties of different porous sandwich beams were calculated. The properties of the micro-cantilever sandwich beams were adjusted to account for scale effects according to MCST. With the fluid driving force taken into consideration, the amplitude-frequency response, and resonant frequencies of the FGM sandwich beams in three different fluids were calculated using the Euler–Bernoulli beam theory. The computational studies showed that the presence of gradient factor p and the pores in the micro-cantilever sandwich beams affect the temperature field distribution and amplitude-frequency response in fluids. Increasing gradient factor p leads to a more obvious thermal concentration of the one-dimensional temperature field and migrates the resonance peaks to lower frequencies. In contrast to the uniform distribution type, the non-uniformly distributed pores also cause a decrease in the resonance frequency.
ISSN:2072-666X

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