Tang Feixiang, Yuan Xiong, He Siyu, Jiang Jize, Shi Shaonan, Li Yuhan, Liu Wenjin, Zhou Yang, Dong Fang, Liu Sheng
Key Laboratory of Transients in Hydraulic Machinery, Ministry of Education, School of Power and Mechanical Engineering, Wuhan University, Wuhan 430072, China.
Hefei Archimedes Electronic Technology Co., Ltd., Hefei 230088, China.
Micromachines (Basel). 2025 Feb 11;16(2):206. doi: 10.3390/mi16020206.
The vibration of porous Al-AlO 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.
利用修正偶应力理论和尺度分布理论（MCST和SDT）研究了多孔Al-AlO微悬臂夹层梁在流体中的振动。定义了四种孔隙率分布类型；孔隙均匀分布定义为U型，而O型、V型和X型表示孔隙的非均匀分布。计算了不同多孔夹层梁的材料性能。根据修正偶应力理论对微悬臂夹层梁的性能进行了调整，以考虑尺度效应。考虑流体驱动力，采用欧拉-伯努利梁理论计算了功能梯度材料夹层梁在三种不同流体中的幅频响应和共振频率。计算研究表明，微悬臂夹层梁中梯度因子p和孔隙的存在会影响流体中的温度场分布和幅频响应。梯度因子p的增加会导致一维温度场的热集中更加明显，并使共振峰向低频移动。与均匀分布类型相比，孔隙非均匀分布也会导致共振频率降低。
