Generalized Spatial Aliasing Solution for the Dispersion Analysis of Infinitely Periodic Multilayered Composites Using the Finite Element MethodSource: Journal of Vibration and Acoustics:;2017:;volume( 139 ):;issue: 005::page 51010Author:Tahidul Haque, A. B. M.
,
Ghachi, Ratiba F.
,
Alnahhal, Wael I.
,
Aref, Amjad
,
Shim, Jongmin
DOI: 10.1115/1.4036469Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The finite element (FE) method offers an efficient framework to investigate the evolution of phononic crystals which possess materials or geometric nonlinearity subject to external loading. Despite its superior efficiency, the FE method suffers from spectral distortions in the dispersion analysis of waves perpendicular to the layers in infinitely periodic multilayered composites. In this study, the analytical dispersion relation for sagittal elastic waves is reformulated in a substantially concise form, and it is employed to reproduce spatial aliasing-induced spectral distortions in FE dispersion relations. Furthermore, through an anti-aliasing condition and the effective elastic modulus theory, an FE modeling general guideline is provided to overcome the observed spectral distortions in FE dispersion relations of infinitely periodic multilayered composites, and its validity is also demonstrated.
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| contributor author | Tahidul Haque, A. B. M. | |
| contributor author | Ghachi, Ratiba F. | |
| contributor author | Alnahhal, Wael I. | |
| contributor author | Aref, Amjad | |
| contributor author | Shim, Jongmin | |
| date accessioned | 2017-11-25T07:20:12Z | |
| date available | 2017-11-25T07:20:12Z | |
| date copyright | 2017/28/6 | |
| date issued | 2017 | |
| identifier issn | 1048-9002 | |
| identifier other | vib_139_05_051010.pdf | |
| identifier uri | http://138.201.223.254:8080/yetl1/handle/yetl/4236279 | |
| description abstract | The finite element (FE) method offers an efficient framework to investigate the evolution of phononic crystals which possess materials or geometric nonlinearity subject to external loading. Despite its superior efficiency, the FE method suffers from spectral distortions in the dispersion analysis of waves perpendicular to the layers in infinitely periodic multilayered composites. In this study, the analytical dispersion relation for sagittal elastic waves is reformulated in a substantially concise form, and it is employed to reproduce spatial aliasing-induced spectral distortions in FE dispersion relations. Furthermore, through an anti-aliasing condition and the effective elastic modulus theory, an FE modeling general guideline is provided to overcome the observed spectral distortions in FE dispersion relations of infinitely periodic multilayered composites, and its validity is also demonstrated. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Generalized Spatial Aliasing Solution for the Dispersion Analysis of Infinitely Periodic Multilayered Composites Using the Finite Element Method | |
| type | Journal Paper | |
| journal volume | 139 | |
| journal issue | 5 | |
| journal title | Journal of Vibration and Acoustics | |
| identifier doi | 10.1115/1.4036469 | |
| journal fristpage | 51010 | |
| journal lastpage | 051010-13 | |
| tree | Journal of Vibration and Acoustics:;2017:;volume( 139 ):;issue: 005 | |
| contenttype | Fulltext |