# Eigenfrequency analysis of fluid-filled pipes

## Authors

• N.M. Alam Chowdhury Dept. of Electrical and Computer Engineering, Ryerson University, Toronto, ON M5B 2K3, Canada
• Zaiyi Liao Dept of Architectural Science, Ryerson University, 350 Victoria St., Toronto, ON M5B 2K3, Canada
• Lian Zhao Dept. of Electrical and Computer Engineering, Ryerson University, Toronto, ON M5B 2K3, Canada
• Ramani Ramakrishnan Dept of Architectural Science, Ryerson University, 350 Victoria St., Toronto, ON M5B 2K3, Canada

## Keywords:

Acoustic waves, Acoustics, Concrete pipe, Equations of motion, Fluid structure interaction, Fluids, Mathematical models, Water pipelines, Acoustic signals, Eigenfrequency, Eigenfrequency analysis, Elastic pipes, Fluid medium, Fluid-filled pipes, Frequency domains, Navier's equations, Newton's Laws, Pipe structure, Principle of virtual work, Wire breaks

## Abstract

A study was conducted to perform eigenfrequency analysis of fluid-filled pipes. The fundamental element of such an analysis was to investigate the eigenfrequency of the wave propagation impacted by the complexity of fluid medium surrounded by a large concrete pipe buried in the ground. The mathematical model was developed using Navier's equation of motion for acoustic wave in frequency domain. The interaction between the fluid and the surrounding layers were modeled based on Newton's law of motion and principle of virtual work. It was observed that the wire break or slip generated acoustic signal propagated through the pipe structure and the fluid in the pipe. The model was simulated for the rigid and elastic pipe with infinite and finite stiffness along with various dimensions of pipe and medium characteristics.

2009-09-01

## How to Cite

1.
Chowdhury NA, Liao Z, Zhao L, Ramakrishnan R. Eigenfrequency analysis of fluid-filled pipes. Canadian Acoustics [Internet]. 2009 Sep. 1 [cited 2024 Apr. 14];37(3):118-9. Available from: https://jcaa.caa-aca.ca/index.php/jcaa/article/view/2162

## Section

Proceedings of the Acoustics Week in Canada