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The nonlinear vibrations and chaotic motion of a carbon nanotube subjected to axial loads and rested on a Winkler and Pasternak foundation are studied. It is assumed that the carbon nanotube is simply-supported at both ends. The governing equation of motion for the nanotube and foundation system using the Euler-Bernoulli beam theory is developed. The Galerkin method is considered for the solution...
Nonlinear forced vibration of a free-form nanotube conveying fluid is investigated. The geometric form of the nanotube in the proposed model is considered by employing a Non-Uniform Rational B-Spline (NURBS) representation. The solution of the equation and the frequency response of the system are analytically obtained considering the resonance condition by means of the multiple scales method. Effects...
The nonlinear vibration of a circular curved carbon nanotube using Euler-Bernoulli beam theory is investigated. The governing equation of motion of the system is developed and the Galerkin method is utilized to obtain the nonlinear ordinary differential equation of the curved carbon nanotube. A quarter-circular curvature is considered for the nanotube and it is assumed to have a single wall with simply-supported...
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