Techno Press
Techno Press

Structural Engineering and Mechanics
  Volume 94, Number 3, May10 2025 , pages 163-170
DOI: https://doi.org/10.12989/sem.2025.94.3.163
 


Investigation on the characteristics of zero-frequency components in nonlinear ultrasonic waves
Xiao-Qiang Sun, Fei-Long Li, Liu Lian, Gui-Lin She and Ning Hu

 
Abstract
    This study presents a systematic re-examination of zero-frequency component (ZFC) characteristics in nonlinear ultrasonic waves, with particular emphasis on rectangular pulse excitation scenarios. By combining theoretical analysis with finite-element simulations, we reveal that material nonlinearities substantially affect the waveform morphology of ZFC. Our results demonstrate that materials exhibiting bilinear stiffness nonlinearity (BSN) produce a distinct right-triangular ZFC profile, while those with weak quadratic nonlinearity (WQN) generate a flat-topped ZFC configuration. These findings not only provide critical insights for resolving long-standing controversies regarding ZFC waveform characteristics, but also establish ZFC analysis as a robust diagnostic methodology for identifying specific nonlinear constitutive behaviors in materials. The research advances the fundamental understanding of nonlinear wave propagation mechanisms and paves the way for novel applications in quantitative material characterization and precision damage assessment. This work provides critical insights for refining nonlinear ultrasonic measurement interpretation and introduces a promising paradigm for non-destructive evaluation techniques.
 
Key Words
    bilinear stiffness; quasi-static component; structure health monitoring; weak quadratic nonlinearity; zerofrequency component
 
Address
Xiao-Qiang Sun: Chongqing Industry Polytechnic College, Chongqing, 401120, P.R. China
Fei-Long Li: Centre for Artificial Intelligence and Robotics (CAIR), Hong Kong Institute of Science & Innovation, Chinese Academy of Sciences, Hong Kong Science Park, New Territories, Hong Kong SAR, PR China
Liu Lian: Research and Development Center, Loncin Motor Co., Ltd., Chongqing, 400039, China
Gui-Lin She: College of Mechanical and Vehicle Engineering, Chongqing University, Chongqing, 400044, Chin
Ning Hu: Interdisciplinary Research Institute of Advanced Intelligent Equipment, Xihua University, Chengdu, 610039, China; School of Mechanical Engineering, Hebei University of Technology, Tianjin, 300401, China
 

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