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

Naveed Akbar,Yundong Li,Yunfeng Li

doi:10.4236/jamp.2020.81013

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.

Highlights

Fluid-solid coupled vibration of infusion pipelines exists in the nuclear industry, petroleum industry, and the aviation industry
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
Based on the dynamic equation of the pipe conveying fluid, this paper uses the dynamic stiffness method to analyze the vibration of the single-span pipe conveying fluid under different boundary conditions

Summary

Introduction

Fluid-solid coupled vibration of infusion pipelines exists in the nuclear industry, petroleum industry, and the aviation industry. Many scholars have studied the linear vibration of pipe conveying fluid from different angles. Q. Ni [7] studied the vibration problems of pipe conveying fluid under various boundary conditions using differential transformation method. Li-Bao Hui [12] used the dynamic stiffness method to analyze the Timoshenko beam multi-span pipe conveying fluid. Scholars further studied the multi-span structure [12]-[17] and dynamic stiffness method [18] [19] [20] [21]. Based on the dynamic equation of the pipe conveying fluid, this paper uses the dynamic stiffness method to analyze the vibration of the single-span pipe conveying fluid under different boundary conditions. Combining the dynamic stiffness method with the transfer matrix method, the vibration problems of non-periodic and periodic multi-span pipes conveying fluid are analyzed.

Element Dynamic Stiffness of Pipe Conveying Fluid

A2 A3 A4

Multi-Span Pipe Conveying Fluid

Conclusions