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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MDPI AG
2025-02-01
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| Series: | Micromachines |
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| Online Access: | https://www.mdpi.com/2072-666X/16/2/206 |
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| author | Feixiang Tang Xiong Yuan Siyu He Jize Jiang Shaonan Shi Yuhan Li Wenjin Liu Yang Zhou Fang Dong Sheng Liu |
| author_facet | Feixiang Tang Xiong Yuan Siyu He Jize Jiang Shaonan Shi Yuhan Li Wenjin Liu Yang Zhou Fang Dong Sheng Liu |
| author_sort | Feixiang Tang |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-e84e065ebb06480d96d855de9a2d355e |
| institution | DOAJ |
| issn | 2072-666X |
| language | English |
| publishDate | 2025-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Micromachines |
| spelling | doaj-art-e84e065ebb06480d96d855de9a2d355e2025-08-20T02:44:56ZengMDPI AGMicromachines2072-666X2025-02-0116220610.3390/mi16020206Vibration Analysis of Al–Al<sub>2</sub>O<sub>3</sub> Micro-Cantilever Sandwich Beams with Porosity in FluidsFeixiang Tang0Xiong Yuan1Siyu He2Jize Jiang3Shaonan Shi4Yuhan Li5Wenjin Liu6Yang Zhou7Fang Dong8Sheng Liu9Key Laboratory of Transients in Hydraulic Machinery, Ministry of Education, School of Power and Mechanical Engineering, Wuhan University, Wuhan 430072, ChinaHefei Archimedes Electronic Technology Co., Ltd., Hefei 230088, ChinaChina-EU Institute for Clean and Renewable Energy, Huazhong University of Science & Technology, Wuhan 430074, ChinaKey Laboratory of Transients in Hydraulic Machinery, Ministry of Education, School of Power and Mechanical Engineering, Wuhan University, Wuhan 430072, ChinaKey Laboratory of Transients in Hydraulic Machinery, Ministry of Education, School of Power and Mechanical Engineering, Wuhan University, Wuhan 430072, ChinaKey Laboratory of Transients in Hydraulic Machinery, Ministry of Education, School of Power and Mechanical Engineering, Wuhan University, Wuhan 430072, ChinaKey Laboratory of Transients in Hydraulic Machinery, Ministry of Education, School of Power and Mechanical Engineering, Wuhan University, Wuhan 430072, ChinaHefei Archimedes Electronic Technology Co., Ltd., Hefei 230088, ChinaThe Institute of Technological Sciences, Wuhan University, Wuhan 430072, ChinaKey Laboratory of Transients in Hydraulic Machinery, Ministry of Education, School of Power and Mechanical Engineering, Wuhan University, Wuhan 430072, ChinaThe 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.https://www.mdpi.com/2072-666X/16/2/206vibration analysispores distributionscale effectsmicro-cantilever beamFGM sandwich |
| spellingShingle | Feixiang Tang Xiong Yuan Siyu He Jize Jiang Shaonan Shi Yuhan Li Wenjin Liu Yang Zhou Fang Dong Sheng Liu Vibration Analysis of Al–Al<sub>2</sub>O<sub>3</sub> Micro-Cantilever Sandwich Beams with Porosity in Fluids Micromachines vibration analysis pores distribution scale effects micro-cantilever beam FGM sandwich |
| title | Vibration Analysis of Al–Al<sub>2</sub>O<sub>3</sub> Micro-Cantilever Sandwich Beams with Porosity in Fluids |
| title_full | Vibration Analysis of Al–Al<sub>2</sub>O<sub>3</sub> Micro-Cantilever Sandwich Beams with Porosity in Fluids |
| title_fullStr | Vibration Analysis of Al–Al<sub>2</sub>O<sub>3</sub> Micro-Cantilever Sandwich Beams with Porosity in Fluids |
| title_full_unstemmed | Vibration Analysis of Al–Al<sub>2</sub>O<sub>3</sub> Micro-Cantilever Sandwich Beams with Porosity in Fluids |
| title_short | Vibration Analysis of Al–Al<sub>2</sub>O<sub>3</sub> Micro-Cantilever Sandwich Beams with Porosity in Fluids |
| title_sort | vibration analysis of al al sub 2 sub o sub 3 sub micro cantilever sandwich beams with porosity in fluids |
| topic | vibration analysis pores distribution scale effects micro-cantilever beam FGM sandwich |
| url | https://www.mdpi.com/2072-666X/16/2/206 |
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