Small-scale effect on the vibration of nonuniform nanocantilever based on nonlocal elasticity theory

In this article, vibration response of nanocantilever is investigated considering nonuniformity in the cross sections. Using nonlocal elasticity theory, governing differential equations are established. Differential quadrature (DQ) method is being employed and natural frequencies of the structure are obtained. The present study shows that the nonlocal frequency solutions of nanocantilever are larger compared to the classical (local) solutions till a critical height ratio (CHR). Beyond the CHR, nonlocal solutions are lower than the classical (local) solutions.