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Dispersion characteristics of arc-axis waveguides
Xicheng Feng1, Kang Li1, Jingmang Xu1
1School of Civil Engineering, Southwest Jiaotong University, Chengdu 610031, China; MOE Key Laboratory of High-speed Railway Engineering, Southwest Jiaotong University, Chengdu 610031, China.
A new semi-analytical finite element method in cylindrical coordinates (SAFEM-CC) accurately calculates dispersion characteristics for arc-axis waveguides. This method is validated experimentally, advancing ultrasonic applications for curved structures.
Area of Science:
- Mechanical Engineering
- Materials Science
- Acoustics
Background:
- Dispersion characteristics are crucial for ultrasonic applications in waveguides.
- Current methods are limited to straight-axis waveguides, necessitating new approaches for curved structures.
Purpose of the Study:
- To develop and validate a novel semi-analytical finite element method in cylindrical coordinates (SAFEM-CC) for analyzing arc-axis waveguides.
- To investigate the dispersion characteristics, waveform transmission, and amplitude distribution in arc-axis waveguides.
Main Methods:
- Established a semi-analytical finite element method in cylindrical coordinates (SAFEM-CC).
- Verified the method using the finite element eigenfrequency method and extensive experimental validation.
- Simulated waveform transmission and wave amplitude distribution using a finite element model.
Main Results:
- SAFEM-CC accurately predicts dispersion characteristics for arc-axis waveguides with complex cross-sections.
- Waveform transmission laws align with dispersion curves, and theoretical wavestructures predict amplitude distribution.
- Asymmetric displacement occurs in arc-axis waveguides, with differences increasing as the radius decreases.
Conclusions:
- The SAFEM-CC is a correct and effective method for analyzing arc-axis waveguides.
- Dispersion characteristics and wave propagation laws in arc-axis waveguides are now better understood.
- Findings are critical for advancing ultrasonic testing and damage detection in curved structures.
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