Author(s)

Yunfeng Li¹, Yundong Li^2*, Naveed Akbar²

¹School of Automation & Information Engineering, Sichuan University of Science & Engineering, Zigong, China.
²School of Mathematics and Statistics, Sichuan University of Science & Engineering, Zigong, China.

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.

Dynamic Stiffness, Transfer Matrix, Euler-Bernoulli Pipe

Li, Y. , Li, Y. and Akbar, N. (2020) Analysis of Vibration of the Euler-Bernoulli Pipe Conveying Fluid by Dynamic Stiffness Method and Transfer Matrix. Journal of Applied Mathematics and Physics, 8, 172-183. doi: 10.4236/jamp.2020.81013.