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Published on: August 26, 2019
Three-dimensional analytical solution for transient guided wave propagation in liquid-filled pipe systems.
Liguo Tang1, Zhaojun Wu, Shengxing Liu
1Department of Marine Technology and Engineering, Xiamen University, Xiamen, China. liguotang@xmu.edu.cn
Summary
This study presents a 3-D analytical solution for transient guided waves in liquid-filled pipes using the eigenfunction expansion method (EEM). The findings offer theoretical guidance for guided wave nondestructive evaluation and downhole data transfer in such systems.
Area of Science:
- Engineering
- Physics
- Materials Science
Background:
- Guided wave propagation in liquid-filled pipes is crucial for structural health monitoring and data transmission.
- Existing analytical solutions often lack three-dimensional accuracy or are limited to specific boundary conditions.
Purpose of the Study:
- To develop a comprehensive three-dimensional (3-D) analytical solution for transient guided wave propagation in liquid-filled pipe systems.
- To extend the solution to both finite and infinite pipe configurations.
- To provide a theoretical framework for guided wave applications in liquid-filled pipes.
Main Methods:
- Utilizing the eigenfunction expansion method (EEM) to derive the analytical solution.
- Obtaining eigenfunctions for finite liquid-filled pipes with specific boundary conditions (traction-free lateral, rigid smooth ends).
- Proving the orthogonality of the derived eigenfunctions.
- Constructing exact and approximate 3-D transient responses to external forces.
Main Results:
- An exact 3-D analytical solution for transient guided wave propagation in finite liquid-filled pipes was derived using EEM.
- An approximate solution for external surface forces was developed.
- The solution was successfully extended to infinite liquid-filled pipe systems.
- Numerical examples demonstrated the spatial and frequency characteristics of wave modes and simulated transient responses.
Conclusions:
- The developed 3-D analytical solution accurately models transient guided wave propagation in liquid-filled pipes.
- The findings provide valuable theoretical insights for guided wave-based nondestructive evaluation techniques.
- The solution supports the application of guided waves for downhole data transfer in relevant engineering scenarios.
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