The static deflection and free vibration problem of functionally graded porous (FGP) cylindrical micro/nanoshells are analyzed using the concept of the modified couple stress theory. The governing equations of first order shear deformation theory (FSDT) are employed and solved by generalized differential quadrature (GDQ) solution method. Using the power low for the FG properties, and incorporating pore content effect, a modified power function is considered for modelling FGP material properties. The transverse deflection under transverse loading and free vibration are numerically presented for a cylindrical micro/nanoshell with simply and clamped edges. The influences of porosity type, porosity volume fraction, material properties, size scale parameter, and type of the boundary conditions on the static bending and free vibration of FGP micro/nanoshells are investigated.
