On vibrations of porous FG nanoshells

An analysis of forced vibration of a porous functionally graded (FG) nanoshell is conduced employing a two-parameter non-classical elasticity theory called nonlocal strain gradient theory. A transverse partial dynamic load with specific frequency of excitation is applied to the nanoshell. Even and uneven dispersion of pores due to material imperfections have been considered. The modified power-law modeling of FG materials is introduced to incorporate the pore content effects. The problem of forced vibration is solved by using a hybrid analytical-numerical method in order to derive deflection-frequency curves. According to the provided graphical results, it can be concluded that pore amount, type of pore distribution, two scale parameters, material gradation and geometrical parameters of applied dynamic load have important influences on deflection-frequency curves of nanoshells.