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Advances in Aircraft and Spacecraft Science Volume 7, Number 2, March 2020 , pages 169-186 DOI: https://doi.org/10.12989/aas.2020.7.2.169 |
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Mechanical-hygro-thermal vibrations of functionally graded porous plates with nonlocal and strain gradient effects |
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Raad M. Fenjan, Luay Badr Hamad and Nadhim M. Faleh
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| Abstract | ||
| Based upon differential quadrature method (DQM) and nonlocal strain gradient theory (NSGT), mechanical-hygro-thermal vibrational analyzes of shear deformable porous functionally graded (FG) nanoplate on visco-elastic medium has been performed. The presented formulation incorporates two scale factors for examining vibrational behaviors of nano-dimension plates more accurately. The material properties for FG plate are porosity-dependent and defined employing a modified power-law form. It is supposed that the nano-size plate is exposed to hygro-thermal and variable compressive mechanical loadings. The governing equations achieved by Hamilton\'s principle are solved implementing DQM. Presented results indicate the prominence of moisture/temperature variation, damping factor, material gradient index, nonlocal coefficient, strain gradient coefficient and porosities on vibrational frequencies of FG nano-size plate. | ||
| Key Words | ||
| porous plate; hygro-thermal load; nonlocal effect; four-variable plate model; differential quadrature method | ||
| Address | ||
| Raad M. Fenjan, Luay Badr Hamad and Nadhim M. Faleh: Al-Mustansiriah University, Engineering Collage P.O. Box 46049, Bab-Muadum, Baghdad 10001, Iraq | ||
