A dynamic homogenization model for long-wavelength wave propagation in corrugated sandwich plates

Lou, J, Yang, J, Kitipornchai, S and Wu, H 2018, 'A dynamic homogenization model for long-wavelength wave propagation in corrugated sandwich plates', International Journal of Mechanical Sciences, vol. 149, pp. 27-37.


Document type: Journal Article
Collection: Journal Articles

Title A dynamic homogenization model for long-wavelength wave propagation in corrugated sandwich plates
Author(s) Lou, J
Yang, J
Kitipornchai, S
Wu, H
Year 2018
Journal name International Journal of Mechanical Sciences
Volume number 149
Start page 27
End page 37
Total pages 11
Publisher Pergamon Press
Abstract In the present work, a new dynamic homogenization model is developed to investigate the long-wavelength wave propagation in a corrugated sandwich plate. With the harmonic motion assumption and using a shifting operator, the governing equations of the plate are firstly represented in a state-space form. Then, a dynamic homogenization model is developed via the two-scale homogenization method. Based on this model and considering the propagation of sinusoidal waves, the dispersion relations and corresponding wave modes can be easily obtained. In order to validate the developed homogenization model, the obtained dispersion relations are compared with those predicted by the spectral element method. It is found that the present method gives accurate results in low frequency range. Furthermore, the effects of some geometric and material parameters on the dispersion relations for the corrugated sandwich plate are also discussed. The developed homogenization model is expected to be helpful in the prediction and control of dynamic responses of corrugated or even lattice sandwich structures.
Subject Dynamics, Vibration and Vibration Control
Solid Mechanics
Keyword(s) Corrugated sandwich plate
Long-wavelength approximation
Dynamic homogenization
State-space representation
Spectral element method
DOI - identifier 10.1016/j.ijmecsci.2018.09.033
Copyright notice © 2018 Elsevier Ltd.
ISSN 0020-7403
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