Abstract
This article deals with the wave propagation problem of nanosize double-layered plates while subjected to a longitudinal magnetic field. To achieve more reliable answers, nonlocal strain gradient theory (NSGT) is utilized which takes into account both decreasing and increasing influences of small scale. Moreover, Kirchhoff plate theory is reviewed and incorporated with the Hamilton’s principle to obtain the equations of motion for each nanoplate. Afterwards, the equations of motion are mixed with those of NSGT in order to derive the nonlocal governing equations of nanoplates. Then, the achieved equations are solved analytically to reach the wave frequency and phase velocity values of propagated waves. Accuracy of the introduced model is verified by setting a comparison between this research and former published attempts. Finally, influence of each parameter on the wave dispersion answers of double nanoplate systems is shown in some diagrams.
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