Mixing of ultrasonic Lamb waves in thin plates with quadratic nonlinearity

Feilong Li; Youxuan Zhao; Peng Cao; Ning Hu

doi:10.1016/j.ultras.2018.02.005

Mixing of ultrasonic Lamb waves in thin plates with quadratic nonlinearity

Ultrasonics. 2018 Jul:87:33-43. doi: 10.1016/j.ultras.2018.02.005. Epub 2018 Feb 6.

Authors

Feilong Li¹, Youxuan Zhao², Peng Cao³, Ning Hu⁴

Affiliations

¹ College of Aerospace Engineering, Chongqing University, Chongqing 400044, China.
² College of Aerospace Engineering, Chongqing University, Chongqing 400044, China. Electronic address: youxuan.zhao@cqu.edu.cn.
³ Department of Hydraulic Engineering, Tsinghua University, Beijing 100084, China.
⁴ College of Aerospace Engineering, Chongqing University, Chongqing 400044, China; Key Disciplines Lab of Novel Micro-Nano Devices and System and International R&D Center of Micro-Nano Systems and New Materials Technology, Chongqing University, Chongqing 400044, China. Electronic address: ninghu@cqu.edu.cn.

PMID: 29433003
DOI: 10.1016/j.ultras.2018.02.005

Abstract

This paper investigates the propagation of Lamb waves in thin plates with quadratic nonlinearity by one-way mixing method using numerical simulations. It is shown that an A₀-mode wave can be generated by a pair of S₀ and A₀ mode waves only when mixing condition is satisfied, and mixing wave signals are capable of locating the damage zone. Additionally, it is manifested that the acoustic nonlinear parameter increases linearly with quadratic nonlinearity but monotonously with the size of mixing zone. Furthermore, because of frequency deviation, the waveform of the mixing wave changes significantly from a regular diamond shape to toneburst trains.

Keywords: Lamb waves; Nonlinearity; Numerical simulation; Wave mixing.