Free vibration of bi-directional functionally graded imperfect nanobeams under rotational velocity

The prime objective of this study is allocated to comprehensive investigating the free vibration of bi-directional functionally graded (2D-FG) rotary nanobeam with even porosity distribution under different boundary conditions (BCs). The Material properties such as Young's modulus, mass density and nonlocal parameter are supposed to be graded in both axial and thickness directions according to the power-law distribution. The governing...