Coupled nonlinear vibration analyziz of Carbon nanotubes ad graphene Sheets

Abstract

The two different forms of carbon in different spatial presentations are Carbon Nanotubes (CNT) and Graphene Sheets (GS). Carbon nanotubes (CNTs) are widely used in many applications due to the superior mechanical, chemical and electrical properties. Since it is hard to conduct and control the tests on nonlinear frequency at nano scale, numerical simulations have been performed generally. The lattice dynamics or molecular dynamics simulations is effective way to investigate the behavior but are computationally expensive and time consuming. newlineThe classical continuum mechanics models are applied to nano scale in many investigations. However, the classical continuum mechanics, which is size independent, cannot investigate the small-scale effects that are more important in nano structures. Many size-dependent theories have been developed to study the small-scale effects. Eringen s nonlocal theory (Eringen 1983) is one among the theories which have been widely used in many investigations. newlineFluid conveyance devices made of carbon nanotubes (CNTs) are frequently employed in nanotechnology. The flow-induced vibration will be affected by the viscosity of the fluid, the aspect ratio of CNT, and the elastic medium. Because the CNTs are frequently embedded in a foundation, the mechanical characteristics of the medium have a substantial impact on the dynamic behaviour of nanotubes. The Pasternak type foundation model represents a more exact and generalised medium simulation by using two independent parameters (called the Pasternak parameters). In this current study, the nonlinear free vibration response of the Single Walled Carbon Nanotubes (SWCNT), Multi-Walled Carbon Nanotubes (MWCNT) and fluid flowing SWCNT are considered. newline