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Fabrication and Characterization of Thickness Mode Piezoelectric Devices for Atomization and Acoustofluidics
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Solution of nonlinear Lamb waves in plates with discontinuous thickness
Weiyi Zuo1,2,3, Zhiwu An1,2, Bixing Zhang1,2
1State Key Laboratory of Acoustics, Institute of Acoustics, Chinese Academy of Sciences, Beijing, 100190, China.
The Journal of the Acoustical Society of America
|March 20, 2024
Summary
Nonlinear Lamb waves reveal material fatigue damage in structures. Studying their scattering at thickness discontinuities enhances nondestructive testing and material health monitoring capabilities.
Area of Science:
- Materials Science
- Mechanical Engineering
- Acoustics
Background:
- Nonlinear Lamb waves propagate long distances and detect early material fatigue.
- Discontinuities in plate/shell structures cause nonlinear Lamb wave scattering.
- Understanding scattering is crucial for material health monitoring and defect detection.
Purpose of the Study:
- Investigate the propagation and scattering of nonlinear Lamb waves' second harmonic in discontinuous plates.
- Analyze the influence of evanescent modes and nonlinear boundary effects at discontinuities.
- Examine scattering characteristics based on frequency and plate geometry.
Main Methods:
- Developed an integral formula for nonlinear Lamb wave scattering analysis.
- Adjusted the formula for improved computational stability with multiple Lamb wave modes.
- Validated the proposed method using transient finite element simulations.
Main Results:
- Quantified the contributions of evanescent modes and nonlinear boundary effects to second harmonic scattering.
- Analyzed how frequency and geometric discontinuities affect scattering patterns.
- Demonstrated improved computational stability for analyzing complex Lamb wave interactions.
Conclusions:
- Nonlinear Lamb wave scattering at discontinuities provides insights into structural and defect characteristics.
- The developed method enhances the accuracy and stability of analyzing nonlinear Lamb wave phenomena.
- This research advances nondestructive testing and material health monitoring applications.
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