Kun Zhou
Huazhong University of Science and Technology
This is Doctor Kun Zhou. He is a phd student from Huazhong University of Science and Technology in Wuhan, China. He mainly research on nonlinear behavior of carbon nanotubes.
Abstract In the past years, the works on nanostructures are mainly related to investigations of a single nanotube/nanobeam. Recently, some scientists have done some research on complex beam systems, the systems are... [ view full abstract ]
Abstract
In the past years, the works on nanostructures are mainly related to investigations of a single nanotube/nanobeam. Recently, some scientists have done some research on complex beam systems, the systems are commonly encountered in mechanical,construction, and aeronautical industry. Motivated by this, we will investigate the nonlinear behavior of the double-carbon nanotubes system (DCNTS).
The system is composed of two single-walled carbon nanotubes, and the two carbon nanotubes are assumed to be connected by an elastic spring medium. Using the theory of nonlocal elasticity, a nonlocal Euler-Bernoulli elastic beam model is developed. And it has to be emphasized that the geometric nonlinearity associated with the mid-plane stretching of the nanotubes is also taking into account. The equations of motion of the double-carbon nanotubes system are derived using the Hamilton’s principle. Then, the two coupled nonlinear partial differential equations, discretized using the Galerkin method, are solved by a fourth-order Runge-Kutta integration algorithm. The nonlocal effect and the geometric nonlinearity effect on the in-phase (synchronous)and out-of-phase (asynchronous) vibration of fluid-conveying DCNTS are discussed.
According to the numerical results, it is demonstrated that an increase in the nonlocal parameter has an obvious reducing effect on the critical-flow velocity, but the buckled static displacement of the nanotubes are increased with increasing values of nonlocal parameter. And it is also found that the geometric nonlinearity term has no effect on the critical-flow velocity, but the geometric nonlinearity term can effect the buckled static displacement of the nanotubes. For the case of out-of-phase vibration, results shows the connection stiffness has a significant effect on critical-flow velocity and the buckled static displacement of the nanotubes, it will reduce the nonlocal effect.
Keywords: nonlocal elasticity theory; nonlinear dynamics; double-carbon nanotubes systems; buckling.
