A semi-analytical model for predicting multiple propagating axially symmetric modes in cylindrical waveguides

Area of Science:

• Solid mechanics
• Acoustics
• Wave propagation modeling

Background:

• Ultrasonic testing relies on understanding wave propagation in materials.
• Finite solid cylindrical waveguides present complex wave behavior due to boundary effects.
• Accurate modeling is crucial for interpreting experimental data in non-destructive evaluation.

Purpose of the Study:

• To develop a semi-analytical model for axially symmetric wave propagation in finite solid cylindrical waveguides.
• To provide a tool for predicting and interpreting experimental ultrasonic signals.
• To facilitate comparison between model predictions and experimental results.

Main Methods:

• Utilized the Pochhammer-Chree solution for infinite cylinders as a foundation.
• Extended the solution to model wave propagation in finite cylindrical waveguides.
• Incorporated aspects of signal excitation, propagation, and reception in the model.
• Validated the model through comparisons with experimental data in various domains.

Main Results:

• The semi-analytical model accurately predicts multiple mode wave propagation.
• Model predictions show good agreement with experimental results in time, frequency, and joint-time frequency domains.
• The model is effective for both narrow band and broad band ultrasonic excitation.

Conclusions:

• The developed semi-analytical model is a valuable tool for analyzing ultrasonic wave propagation in finite solid cylindrical waveguides.
• The model enhances the interpretation of experimental signals in ultrasonic testing.
• This work contributes to improved non-destructive evaluation techniques for cylindrical structures.