Application of nonlocal elasticity and DQM in the flapwise bending vibration of a rotating nanocantilever

In this article, a single nonlocal beam model is developed and applied to investigate the flapwise bending–vibration characteristics of a rotating nanocantilever. A rotating nanocantilever is found as blades of a nanoturbine. Employing Eringen’s nonlocal elasticity theory, the governing differential equations for the abovementioned problem are derived. Differential quadrature method (DQM) is being utilized and nondimensional nonlocal frequencies are obtained. The effects of the small-scale, angular velocity and hub radius are examined and discussed. It is shown that small-scale effects play a significant role in the vibration response of a rotating nanocantilever. Further as rotational angular velocity increases, the small-scale effect on the frequency response is increased for first modes of vibration while it is decreased for higher modes of vibration.