Spectral element modelling of wave propagation with boundary and structural discontinuity reflections

Wang, Ying, Hao, Hong, Zhu, Xinqun and Ou, Jinping 2012, Spectral element modelling of wave propagation with boundary and structural discontinuity reflections, Advances in structural engineering, vol. 15, no. 5, pp. 855-870, doi: 10.1260/1369-4332.15.5.855.

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Title Spectral element modelling of wave propagation with boundary and structural discontinuity reflections
Author(s) Wang, Ying
Hao, Hong
Zhu, Xinqun
Ou, Jinping
Journal name Advances in structural engineering
Volume number 15
Issue number 5
Start page 855
End page 870
Total pages 16
Publisher Multi-Science Publishing
Place of publication London, England
Publication date 2012-05-01
ISSN 1369-4332
Keyword(s) spectral element
wave propagation
boundary reflection
structural discontinuity
Summary Spectral element method is very efficient in modelling high-frequency stress wave propagation because it works in the frequency domain. It does not need to use very fine meshes in order to capture high frequency wave energy as the time domain methods do, such as finite element method. However, the conventional spectral element method requires a throw-off element to be added to the structural boundaries to act as a conduit for energy to transmit out of the system. This makes the method difficult to model wave reflection at boundaries. To overcome this limitation, imaginary spectral elements are proposed in this study, which are combined with the real structural elements to model wave reflections at structural boundaries. The efficiency and accuracy of this proposed approach is verified by comparing the numerical simulation results with measured results of one dimensional stress wave propagation in a steel bar. The method is also applied to model wave propagation in a steel bar with not only boundary reflection, but also reflections from single and multiple cracks. The reflection and transmission coefficients, which are obtained from the discrete spring model, are adopted to quantify the discontinuities. Experimental tests of wave propagation in a steel bar with one crack of different depths are also carried out. Numerical simulations and experimental results show that the proposed method is effective and reliable in modelling wave propagation in one-dimensional waveguides with reflections from boundary and structural discontinuities. The proposed method can be applied to effectively model stress wave propagation for structural damage detection.
Language eng
DOI 10.1260/1369-4332.15.5.855
Field of Research 090506 Structural Engineering
Socio Economic Objective 870501 Civil Building Management and Services
HERDC Research category C1.1 Refereed article in a scholarly journal
Copyright notice ©2012, Multi-Science Publishing
Persistent URL http://hdl.handle.net/10536/DRO/DU:30039035

Document type: Journal Article
Collection: School of Engineering
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