Torsional vibration of nano-cone based on nonlocal strain gradient elasticity theory

. This paper investigates free torsional vibration behavior of a nonlinear nano-cone, based on the nonlocal strain gradient elasticity theory. The nano-cone is made of homogeneous and isotropic materials. Moreover, the cross-sectional area of the nano-cone varies in the longitudinal direction by a n...

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Bibliographic Details
Published in:European physical journal plus 2017-09, Vol.132 (9), p.393, Article 393
Main Authors: Adeli, Mohsen Mahdavi, Hadi, Amin, Hosseini, Mohammad, Gorgani, Hamid Haghshenas
Format: Article
Language:English
Subjects:
Applied and Technical Physics
Atomic
Boundary conditions
Complex Systems
Condensed Matter Physics
Elasticity
Generalized differential quadrature method
Hamilton's principle
Isotropic material
Magnetic fields
Mathematical and Computational Physics
Mechanical engineering
Mechanics
Molecular
Optical and Plasma Physics
Parameters
Physics
Physics and Astronomy
Propagation
Quadratures
Regular Article
Strain
Theoretical
Torsional vibration
Vibration
Viscoelasticity
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Summary:. This paper investigates free torsional vibration behavior of a nonlinear nano-cone, based on the nonlocal strain gradient elasticity theory. The nano-cone is made of homogeneous and isotropic materials. Moreover, the cross-sectional area of the nano-cone varies in the longitudinal direction by a nonlinear function. Governing equation and boundary conditions are derived using Hamilton’s principle. These equations are solved by employing the generalized differential quadrature method (GDQM). The effects of some parameters, such as cross-sectional area change and small-scale parameter, are investigated. Results show that the cross-sectional area change has a significant effect on the torsional vibration behavior of the nano-cone. These results are also compared with the results reported in the literature, which shows consistency.
ISSN:2190-5444
2190-5444
DOI:10.1140/epjp/i2017-11688-0