Forced Transverse Vibration of a Closed Double Single-Walled Carbon Nanotube System Containing a Fluid with Effect of Compressive Axial Load

Mehrdad Nasirshoaibi,Masih Nasirshoaibi,Nader Mohammadi

doi:10.1155/2015/435284

Abstract

Based on the Rayleigh beam theory, the forced transverse vibrations of a closed double single-walled carbon nanotube (SWCNT) system containing a fluid with a Pasternak layer in-between are investigated. It is assumed that the two single-walled carbon nanotubes of the system are continuously joined by a Pasternak layer and both sides of SWCNTs containing a fluid are closed. The dynamic responses of the system caused by arbitrarily distributed continuous loads are obtained. The effect of compressive axial load on the forced vibrations of the double single-walled carbon nanotube system is discussed for one case of particular excitation loading. The properties of the forced transverse vibrations of the system are found to be significantly dependent on the compressive axial load. The steady-state vibration amplitudes of the SWCNT decrease with increasing of length of SWCNT. Vibrations caused by the harmonic exciting forces are discussed, and conditions of resonance and dynamic vibration absorption are formulated. The SWCNT-type dynamic absorber is a new concept of a dynamic vibration absorber (DVA), which can be applied to suppress excessive vibrations of corresponding SWCNT systems.

Highlights

Carbon nanotubes (CNTs) are becoming increasingly promising materials for modern technology applications due to their exceptional thermomechanical, chemical, and optoelectronic properties
The ratio φ1 decreases with the increase of the axial compression, which implies that the magnitude of the steady-state vibration amplitude An1 becomes smaller when the axial compression increases, and the ratio φ2 increases with the increase of the axial compression, which implies that the magnitude of the steady-state vibration amplitude An2 becomes larger when the axial compression increases
Based on the Rayleigh beam theory, the forced transverse vibrations of a closed double single-walled carbon nanotube (SWCNT) system containing a fluid with a Pasternak layer in-between, under compressive axial loading for one case of particular excitation loading, are studied

Summary

Introduction

Carbon nanotubes (CNTs) are becoming increasingly promising materials for modern technology applications (nanocomposites, nanodevices, nanoelectronics, and nanomedicine) due to their exceptional thermomechanical, chemical, and optoelectronic properties. Chang and Lee [9] studied the free vibration of a singlewalled carbon nanotube containing a fluid flow by using the Timoshenko beam model They analyzed the effects of the flow velocity and the aspect ratio of length to diameter on the vibration frequency and mode shape of the SWCNT. Stojanovicand Kozic [16] discussed the case of forced vibration of two elastically connected beams with Winkler elastic layer in-between and the effect of axial compression force on the amplitude ratio of system vibration for three types of external forcing (arbitrarily continuous harmonic excitation, uniformly continuous harmonic excitation, and concentrated harmonic excitation) They determined general conditions of resonance and dynamic vibration absorption. This may be accomplished by connecting the ends of the vertical springs to a beam consisting of incompressible vertical elements, which deforms only by transverse shear

The Beam Model for SWCNTs

Solution of Equations

Forced Vibration of a Double SWCNT System

Numerical Results and Discussion

Conclusions