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http://dx.doi.org/10.12989/anr.2018.6.4.323

Finite strain nonlinear longitudinal vibration of nanorods  

Eren, Mehmet (Institute of Science, Trakya University)
Aydogdu, Metin (Department of Mechanical Engineering, Trakya University)
Publication Information
Advances in nano research / v.6, no.4, 2018 , pp. 323-337 More about this Journal
Abstract
The nonlinear free vibration of a nanorod subjected to finite strain is investigated. The governing equation of motion in material configuration in terms of displacement is determined. By means of Galerkin method, the Fourier series solutions satisfying some typical boundary conditions are determined. The amplitude-frequency relationship and interaction between the modes are studied. The effects of nonlocal elasticity are shown for different length of nanotubes and nonlocal parameter. The results show that nonlocal effects lead to additional internal modal interaction for nanorod vibrations.
Keywords
nonlocal elasticity; mode interactions; nonlocal elastic rod model; nonlinear axial vibration; finite strain;
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Times Cited By KSCI : 3  (Citation Analysis)
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