Fundamental frequency analysis of rectangular piezoelectric nanoplate under in‐plane forces based on surface layer, non‐local elasticity, and two variable refined plate hypotheses
| Autor: | Leila Jamali, Aazam Ghassemi |
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| Rok vydání: | 2018 |
| Předmět: |
010302 applied physics
Materials science Surface stress Mathematical analysis Biomedical Engineering Finite difference method Equations of motion Bioengineering 02 engineering and technology Fundamental frequency Elasticity (physics) 021001 nanoscience & nanotechnology Condensed Matter Physics 01 natural sciences Piezoelectricity symbols.namesake 0103 physical sciences symbols General Materials Science Hamilton's principle Boundary value problem 0210 nano-technology |
| Zdroj: | Micro & Nano Letters. 13:47-53 |
| ISSN: | 1750-0443 |
| DOI: | 10.1049/mnl.2017.0429 |
| Popis: | Fundamental frequency analysis of rectangular piezoelectric nanoplates via the surface layer and non-local small-scale hypotheses is investigated in the present work. The piezoelectric nanoplate is under in-plane forces. The equilibrium governing of piezoelectric nanoplates is attained via the two variable refined plate hypothesis, and then the equations of motion are achieved utilising Hamilton's principle. To solve these equations, the finite difference method is employed. To verify the exactness of the finite difference method, the governing equations are tested by the Navier's solution. Numerical results show a good accuracy among the outcomes of the present work and some accessible cases in the literature. The numerical results show that for negative residual surface stress, as the boundary condition becomes stiffer the effect of surface layer increases, while for positive one that phenomenon is inverse. |
| Databáze: | OpenAIRE |
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