Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/133263
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Type: | Journal article |
Title: | Time-Domain Spectral Finite Element Method for Modeling Second Harmonic Generation of Guided Waves Induced by Material, Geometric and Contact Nonlinearities in Beams |
Author: | He, S. Ng, C.T. Yeung, C. |
Citation: | International Journal of Structural Stability and Dynamics, 2020; 20(10) |
Publisher: | World Scientific Publishing Co Pty Ltd |
Issue Date: | 2020 |
ISSN: | 0219-4554 1793-6764 |
Statement of Responsibility: | Shuai He, Ching-Tai Ng, Carman Yeung |
Abstract: | This study proposes a time-domain spectral finite element (SFE) method for simulating the second harmonic generation (SHG) of nonlinear guided wave due to material, geometric and contact nonlinearities in beams. The time-domain SFE method is developed based on the Mindlin–Hermann rod and Timoshenko beam theory. The material and geometric nonlinearities are modeled by adapting the constitutive relation between stress and strain using a second-order approximation. The contact nonlinearity induced by breathing crack is simulated by bilinear crack mechanism. The material and geometric nonlinearities of the SFE model are validated analytically and the contact nonlinearity is verified numerically using three-dimensional (3D) finite element (FE) simulation. There is good agreement between the analytical, numerical and SFE results, demonstrating the accuracy of the proposed method. Numerical case studies are conducted to investigate the influence of number of cycles and amplitude of the excitation signal on the SHG and its performance in damage detection. The results show that the amplitude of the SHG increases with the numbers of cycles and amplitude of the excitation signal. The amplitudes of the SHG due to material and geometric nonlinearities are also compared with the contact nonlinearity when a breathing crack exists in the beam. It shows that the material and geometric nonlinearities have much less contribution to the SHG than the contact nonlinearity. In addition, the SHG can accurately determine the crack location without using the reference data. Overall, the findings of this study help further advance the use of SHG for damage detection. |
Keywords: | Nonlinear guided waves second harmonics spectral finite element material nonlinearity geometric nonlinearity contact nonlinearity breathing crack |
Rights: | Copyright status unknown |
DOI: | 10.1142/S0219455420420055 |
Published version: | http://dx.doi.org/10.1142/s0219455420420055 |
Appears in Collections: | Mechanical Engineering publications |
Files in This Item:
File | Description | Size | Format | |
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hdl_133263.pdf | Accepted version | 3.38 MB | Adobe PDF | View/Open |
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