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.