Nonlocal transient electro-thermo-mechanical vibration and bending analysis of a functionally graded piezoelectric single-layered nanosheet rest on visco- Pasternak's foundation(Hot Paper)

چکیده مقاله

This study develops the transient thermo-electro-mechanical vibration and bending analysis of a functionally graded piezoelectric nanosheet rest on Visco-Pasternak foundation. Nonlocal elasticity theory is used as well as classical plate theory to implemented basic equations of the nanosheet. The plate is resting on Visco-Pasternak foundation and subject to mechanical, thermal and electrical loadings. Hamilton’s principle is used for derivation equations of motion in terms of displacement components. As first case study and for validation of the responses of the system, nonlocal vibration analysis of nanosheet is studied. The effects of nonlocal parameter and non-homogeneous index of nanosheet are studied on the natural frequencies of the system. As main objective of this study, the electro-thermal bending results of the nanosheet is studied. The effects of some important parameters such nonlocal parameter, non-homogeneous index, thickness, distribution of electric potential and damping are calculated on the maximum deflection of the sheet under various thermal and electrical loadings.