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Title: Numerical studies of nonlinear ultrasonic guided waves in uniform waveguides with arbitrary cross sections

Abstract

Nonlinear guided waves have been investigated widely in simple geometries, such as plates, pipe and shells, where analytical solutions have been developed. This paper extends the application of nonlinear guided waves to waveguides with arbitrary cross sections. The criteria for the existence of nonlinear guided waves were summarized based on the finite deformation theory and nonlinear material properties. Numerical models were developed for the analysis of nonlinear guided waves in complex geometries, including nonlinear Semi-Analytical Finite Element (SAFE) method to identify internal resonant modes in complex waveguides, and Finite Element (FE) models to simulate the nonlinear wave propagation at resonant frequencies. Two examples, an aluminum plate and a steel rectangular bar, were studied using the proposed numerical model, demonstrating the existence of nonlinear guided waves in such structures and the energy transfer from primary to secondary modes.

Authors:
;  [1];  [2]
  1. School of Mechanical and Aerospace Engineering, Nanyang Technological University, 50 Nanyang Avenue, Singapore 639798 (Singapore)
  2. Advanced Remanufacturing and Technology Center (ARTC), 3 Clean Tech Loop, CleanTech Two, Singapore 637143 (Singapore)
Publication Date:
OSTI Identifier:
22611476
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Advances; Journal Volume: 6; Journal Issue: 7; Other Information: (c) 2016 Author(s); Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; ALUMINIUM; ANALYTICAL SOLUTION; CROSS SECTIONS; DEFORMATION; ENERGY TRANSFER; FINITE ELEMENT METHOD; NONLINEAR PROBLEMS; NUMERICAL ANALYSIS; SHELLS; STEELS; WAVE PROPAGATION; WAVEGUIDES

Citation Formats

Zuo, Peng, Fan, Zheng, E-mail: ZFAN@ntu.edu.sg, and Zhou, Yu. Numerical studies of nonlinear ultrasonic guided waves in uniform waveguides with arbitrary cross sections. United States: N. p., 2016. Web. doi:10.1063/1.4959005.
Zuo, Peng, Fan, Zheng, E-mail: ZFAN@ntu.edu.sg, & Zhou, Yu. Numerical studies of nonlinear ultrasonic guided waves in uniform waveguides with arbitrary cross sections. United States. doi:10.1063/1.4959005.
Zuo, Peng, Fan, Zheng, E-mail: ZFAN@ntu.edu.sg, and Zhou, Yu. 2016. "Numerical studies of nonlinear ultrasonic guided waves in uniform waveguides with arbitrary cross sections". United States. doi:10.1063/1.4959005.
@article{osti_22611476,
title = {Numerical studies of nonlinear ultrasonic guided waves in uniform waveguides with arbitrary cross sections},
author = {Zuo, Peng and Fan, Zheng, E-mail: ZFAN@ntu.edu.sg and Zhou, Yu},
abstractNote = {Nonlinear guided waves have been investigated widely in simple geometries, such as plates, pipe and shells, where analytical solutions have been developed. This paper extends the application of nonlinear guided waves to waveguides with arbitrary cross sections. The criteria for the existence of nonlinear guided waves were summarized based on the finite deformation theory and nonlinear material properties. Numerical models were developed for the analysis of nonlinear guided waves in complex geometries, including nonlinear Semi-Analytical Finite Element (SAFE) method to identify internal resonant modes in complex waveguides, and Finite Element (FE) models to simulate the nonlinear wave propagation at resonant frequencies. Two examples, an aluminum plate and a steel rectangular bar, were studied using the proposed numerical model, demonstrating the existence of nonlinear guided waves in such structures and the energy transfer from primary to secondary modes.},
doi = {10.1063/1.4959005},
journal = {AIP Advances},
number = 7,
volume = 6,
place = {United States},
year = 2016,
month = 7
}
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