Free vibration analysis of nanocones using a nonlocal continuum model

This Letter aims at the investigation of free-vibration properties of nanocones based on a nonlocal continuum shell model. A novel approach is used for derivation of the governing equations of motion and the Galerkin technique is used to obtain the natural frequencies of vibrations. The effects of small-scale and geometrical parameters of the nanocone on the natural frequencies are studied and some conclusions are drawn.

► Developing a conical shell model for nanocones using nonlocal theory of elasticity.
► Small scale effect reduces the natural frequencies of nanocones.
► Natural frequencies of nanocones decrease with the increase of the apex angle.
► The dependency of the natural frequencies to the apex angle decreases as the small-scale effect increases.