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Deng, J., Liu, Y. and Liu, W. (2017) Size-Dependent Vibration Analysis of Multi-Span Functionally Graded Material Micropipes Conveying Fluid Using a Hybrid Method. Microfluidics and Nanofluidics, 21, 133.
https://doi.org/10.1007/s10404-017-1967-7

has been cited by the following article:

• TITLE: Analysis of Vibration of the Euler-Bernoulli Pipe Conveying Fluid by Dynamic Stiffness Method and Transfer Matrix

  AUTHORS: Yunfeng Li, Yundong Li, Naveed Akbar

  KEYWORDS: Dynamic Stiffness, Transfer Matrix, Euler-Bernoulli Pipe

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.8 No.1, January 17, 2020

  ABSTRACT: The dynamic stiffness method and Transfer method is applied to study the vibration characteristics of the Euler-Bernoulli pipe conveying fluid in this paper. According to the dynamics equation of the pipe conveying fluid, the element dynamic stiffness is established. The vibration characteristic of the single-span pipe is analyzed under two kinds of boundary conditions. The results compared with the literature, which has a good consistency. Based on this method, natural frequency and the critical speed of the two types of multi-span pipe are deserved. This paper shows that the dynamic stiffness method and transfer matrix is an effective method to deal with the vibration problem of pipe conveying fluid.