Size-dependent vibration analysis of multi-span functionally graded material micropipes conveying fluid using a hybrid method

作者：Deng, Jiaquan; Liu, Yongshou^*; Liu, Wei

来源：Microfluidics and Nanofluidics, 2017, 21(8): 133.

DOI：10.1007/s10404-017-1967-7

• Size-dependent vibration
• Functionally graded materials
• Multi-span micropipes conveying fluid
• Hybrid method

Microscale fluid-conveying pipes and functionally graded materials (FGMs) have many potential applications in engineering fields. In this paper, the free vibration and stability of multi-span FGM micropipes conveying fluid are investigated. The material properties of FGM micropipes are assumed to change continuously through thickness direction according to a power law. Based on modified couple stress theory, the governing equation and boundary conditions are derived by applying Hamilton's principle. Subsequently, a hybrid method which combines reverberation-ray matrix method and wave propagation method is developed to determine the natural frequencies, and the results determined by present method are compared with those in the existing literature. Then, the effects of material length scale parameter, volume fraction exponent, location and number of supports on dynamic characteristics of multi-span FGM micropipes conveying fluid are discussed. The results show that the size effect is significant when the diameter of micropipe is comparable to the length scale parameter, and the natural frequencies determined by modified couple stress theory are larger than those obtained by classical beam theory. It is also found that natural frequencies and critical velocities increase rapidly with the increase of volume fraction exponent when it is less than 10, and the intermediate supports could improve the stability of pipes conveying fluid significantly.

• 出版日期2017-8
• 单位西北工业大学