Investigation of vibration of nanorotating plates submerged in viscous-moving fluid medium.

In view of the great importance of dynamical behavior prediction of nanostructures in the fluid media and their various applications in biomedical engineering, aerospace, etc. in this research, the free vibration behavior of a nano-scale rotating plate coupled with an incompressible viscous fluid is studied. To this end, nonlocal elasticity theory is adopted to apply small-scale effects. Using the Navier–Stokes relation, the interaction forces between the fluid and nanorotating plate are obtained. In order to solve the governing differential equations, the Galerkin method is utilized, and the system’s vibration frequency response has been obtained for the clamped-free-free-free boundary condition. [ABSTRACT FROM AUTHOR]