In this work, for the first time, bending and free vibration of porous
and functionally graded cylindrical micro/nano shells are studied based
on the modified couple stress and three dimensional elasticity theories.
The well-known power law and even type function are respectively
used to consider the variation of functionally graded material properties
and porosity distribution. The governing equations are extracted
using the Hamilton’s principle. The generalized differential quadrature
method is applied to solve the governing equations of cylindrical
micro/nano shells with simply supported boundary conditions. In the
numerical result section, the influence of gradient of material properties,
porosity volume fraction, and length scale parameter on the bending
and free vibration of micro/nano shells are studied. The results of
present article can be used as a benchmark for validating future mechanical
studies of micro/nano shells.