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Parameter measurement of the cylindrically curved thin layer using low-frequency circumferential Lamb waves
1Department of Biomedical Engineering, School of Life Science and Technology, Xi'an Jiaotong University, Xi'an, Shaanxi 710049, China.
Ultrasonics
|March 2, 2005
Summary
This study introduces a low-frequency circumferential Lamb wave method to measure elastic constants, thickness, and radius of curved thin layers. The technique accurately characterizes thin layers with minimal error, even for thicknesses down to 10% of the wavelength.
Area of Science:
- Materials Science and Engineering
- Acoustics and Ultrasonics
- Solid Mechanics
Background:
- Characterizing thin layers with cylindrical curvature is crucial for various engineering applications.
- Traditional methods struggle with thin layers where wave reflections and modes overlap in time or space.
- Accurate determination of elastic constants, thickness, and radius is essential for performance prediction.
Purpose of the Study:
- To develop and validate a low-frequency circumferential Lamb wave method for characterizing cylindrically curved thin layers.
- To assess the sensitivity and accuracy of the proposed technique for determining layer parameters.
- To enable non-destructive evaluation of thin-walled curved structures.
Main Methods:
- Utilized low-frequency circumferential Lamb waves propagating along the curved surface of the thin layer.
- Measured the phase velocity of the Lamb waves.
- Employed a minimization of mean square error between theoretical and experimental phase velocities to estimate unknown parameters (elastic constants, thickness, radius).
Main Results:
- Successfully characterized cylindrically curved thin layers with an average relative error less than two percent in experimental measurements.
- Demonstrated the capability to measure layers with thicknesses down to ten percent of the longitudinal wavelength.
- Analyzed the sensitivity and accuracy of the technique with respect to different layer parameters.
Conclusions:
- The low-frequency circumferential Lamb wave method provides an accurate and sensitive approach for non-destructively characterizing curved thin layers.
- This technique overcomes limitations of traditional methods for thin and curved structures.
- The findings have significant implications for quality control and structural health monitoring in relevant industries.

