Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1863059 | Physics Letters A | 2011 | 6 Pages |
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.