Small scale effect on vibration and wave power reflection in circular annular nanoplates

In this paper, the wave propagation technique is developed for analyzing the wave power reflection in circular annular nanoplates. Firstly, the propagation and reflection matrices are derived for circular annular nanoplates. Then, the obtained natural frequencies by these matrices are compared with...

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Bibliographic Details
Published in:Composites. Part B, Engineering Engineering, 2017-01, Vol.109, p.214-226
Main Authors: Bahrami, Arian, Teimourian, Amir
Format: Article
Language:English
Subjects:
Annular
Circular annular nanoplate
Circularity
Nanostructure
Nonlocal elasticity
Propagation matrix
Reflection
Reflection matrix
Resonant frequency
Small scale
Wave power
Wave power reflection
Wave reflection
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Summary:In this paper, the wave propagation technique is developed for analyzing the wave power reflection in circular annular nanoplates. Firstly, the propagation and reflection matrices are derived for circular annular nanoplates. Then, the obtained natural frequencies by these matrices are compared with the available literature. A set of natural frequency results is provided in a practical range of small scale for all nine possible combinations of classical boundary conditions. Finally, the effect of small scale on the reflected power of an incident wave upon different boundary conditions is investigated in details for circular annular nanoplates. The obtained hints via these matrices are valuable for future works correlated with wave power reflection and transmission in nanoscale structures.
ISSN:1359-8368
1879-1069
DOI:10.1016/j.compositesb.2016.09.107