One-way Lamb and SH mixing method in thin plates with quadratic nonlinearity: Numerical and experimental studies

Yuzi Liu; Youxuan Zhao; Mingxi Deng; Guoshuang Shui; Ning Hu

doi:10.1016/j.ultras.2022.106761

One-way Lamb and SH mixing method in thin plates with quadratic nonlinearity: Numerical and experimental studies

Ultrasonics. 2022 Aug:124:106761. doi: 10.1016/j.ultras.2022.106761. Epub 2022 May 14.

Authors

Yuzi Liu¹, Youxuan Zhao², Mingxi Deng¹, Guoshuang Shui³, Ning Hu⁴

Affiliations

¹ College of Aerospace Engineering, Chongqing University, Chongqing 400044, PR China.
² College of Aerospace Engineering, Chongqing University, Chongqing 400044, PR China; Chongqing Key Laboratory of Heterogeneous Material Mechanics, Chongqing University, Chongqing 400044, PR China. Electronic address: youxuan.zhao@cqu.edu.cn.
³ Department of Mechanics, Beijing Jiaotong University, Beijing 100044, PR China.
⁴ State Key Laboratory of Reliability and Intelligence Electrical Equipment, National Engineering Research Center for Technological Innovation Method and Tool, and School of Mechanical Engineering, Hebei University of Technology, Tianjin 300401, PR China. Electronic address: ninghu@hebut.edu.cn.

PMID: 35597042
DOI: 10.1016/j.ultras.2022.106761

Abstract

This paper numerically and experimentally investigates the resonant behavior of one-way Lamb and SH (shear horizontal) mixing method in thin plates with quadratic nonlinearity. When the primary S₀-mode Lamb waves and SH₀ waves mix in the region with quadratic nonlinearity, both numerical and experimental results verify the generation of the resonant SH₀ waves if the resonance condition [Formula: see text] is satisfied. Meanwhile, we find that the acoustic nonlinear parameter (ANP) increases monotonously with material quadratic nonlinearity, the length of the damage region and the frequency of the resonant wave. Furthermore, the damage region can be located by the time-domain signal of the resonant wave based on one-way S₀-SH₀ mixing method. This study numerically and experimentally reveals that one-way Lamb and SH mixing method is feasible to quantitatively evaluate and locate the damage region of quadratic nonlinearity in thin plates.

Keywords: Lamb wave; Quadratic nonlinearity; SH wave; Ultrasonic nonlinearity; Wave mixing.