Application of plane wave expansion and stiffness matrix methods to study transmission properties and guided mode of phononic plates
| Autor: | Mohamed Hédi Ben Ghozlen, Hassiba Ketata, Hajer Farjallah |
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| Rok vydání: | 2016 |
| Předmět: |
Materials science
Band gap business.industry Frequency band Applied Mathematics Mathematical analysis General Physics and Astronomy State vector Equations of motion 02 engineering and technology 021001 nanoscience & nanotechnology 01 natural sciences Computational Mathematics Matrix (mathematics) Optics Modeling and Simulation 0103 physical sciences Plane wave expansion 010306 general physics 0210 nano-technology business Eigenvalues and eigenvectors Stiffness matrix |
| Zdroj: | Wave Motion. 64:68-78 |
| ISSN: | 0165-2125 |
| Popis: | Numerical procedure based on plane wave expansion and stiffness matrix method is developed to calculate the transmission factor of a micro two-dimensional phononic plate. Calculations of the dispersion curve have been achieved by introducing particular functions which transform motion equations into an eigenvalue problem. The state vector has been generalized to a phononic material, it leads to a comparatively convenient matrix formulation. The influence of the layer number on the transmission factor is studied. In addition, our interest is focused on the observed gap and how it behaves when phononic structure undergoes a slight change. The result shows that if the central phononic layer is replaced by one or two homogeneous layers, guided modes originate inside the frequency band gaps. |
| Databáze: | OpenAIRE |
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