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 s...

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Bibliographic Details
Published in:Physics letters. A 2011-09, Vol.375 (41), p.3593-3598
Main Authors: Firouz-Abadi, R.D., Fotouhi, M.M., Haddadpour, H.
Format: Article
Language:English
Subjects:
Continuums
Equations of motion
Free vibration
Nanocomposites
Nanocone
Nanomaterials
Nanostructure
Nonlocal elasticity
Resonant frequency
Shells
Small-scale parameter
Vibration
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Summary: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.
ISSN:0375-9601
1873-2429
DOI:10.1016/j.physleta.2011.08.035