This paper deals with the free vibration analysis of single-walled carbon nanotube (SWCNT) bounded at the ends, with translational and elastic constraints, and attached mass. The nanotube is modelled as a beam and the effect of small length scale based on the nonlocal elasticity theory is considered. The governing equations of motion are derived using a variational approach and the free frequencies of vibrations are obtained employing the cell discretization method (CDM) in which the nanotube is reduced to a set of rigid bars linked together by elastic cells. The resulting discrete system takes into account nonlocal effects, constraint elasticities and added mass. The natural frequencies and corresponding shift frequencies are calculated and numerical results for different boundary conditions are illustrated. Comparisons of the present numerical results with those from the open literature show an excellent agreement.

Free vibration analysis of SWCNT using CDM in the presence of nonlocal effect.

DE ROSA, Maria Anna;
2014-01-01

Abstract

This paper deals with the free vibration analysis of single-walled carbon nanotube (SWCNT) bounded at the ends, with translational and elastic constraints, and attached mass. The nanotube is modelled as a beam and the effect of small length scale based on the nonlocal elasticity theory is considered. The governing equations of motion are derived using a variational approach and the free frequencies of vibrations are obtained employing the cell discretization method (CDM) in which the nanotube is reduced to a set of rigid bars linked together by elastic cells. The resulting discrete system takes into account nonlocal effects, constraint elasticities and added mass. The natural frequencies and corresponding shift frequencies are calculated and numerical results for different boundary conditions are illustrated. Comparisons of the present numerical results with those from the open literature show an excellent agreement.
2014
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11563/96094
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