Nonlinear free and forced vibration analysis of a single-walled carbon nanotube using shell model
Journal Title: International Journal of Fundamental Physical Sciences - Year 2011, Vol 1, Issue 3
Abstract
In this Paper, the nonlinear free and forced vibration of a single-walled carbon nanotube (SWCNT) with simply supported ends is investigated based on von Karman’s geometric nonlinearity. The SWCNT described as an individual shell and the Donnell’s equations of cylindrical shells are used to obtain the governing equations. The Galerkin's procedure is used to discretized partial differential equations of the governing into the ordinary differential equations of motion. The method of averaging is applied to analyze the nonlinear vibration of (10, 0), (20, 0) and (30, 0) zigzag SWCNTs in the analytical calculations. The effects of the nonlinear parameters, different aspect ratios, different circumferential wave numbers and longitudinal half-wave numbers are investigated. Both free and forced motions (due to harmonic excitation) are considered. It is shown that (30, 0) zigzag SWCNT has less nonlinear behavior than the other CNTs for a constant aspect ratio. The type of nonlinearity is determined by the aspect ratio. It is seen from the results that for Small values of aspect ratios, the vibration behavior is softening type for the low amplitudes, and it is a hardening type for the large amplitudes. And for a large value of the aspect ratio, the vibration behavior is a hardening type for all amplitudes.
Authors and Affiliations
Payam Soltani *, J Saberian, R Bahramian, A Farshidianfar
Keywords
Related Articles
- EP ID EP599304
- DOI 10.14331/ijfps.2011.330012
- Views 66
- Downloads 0
Gravity, Metaphysics or Physics?
Gravity is the foundation of the current physical paradigm. Due to that gravity is strongly linked to the curvature of space-time, we research that it lacks a valid physical concept of space-time, nevertheless that from...
Determination of the Correlation Factor Between the Brownian Particle and Its Environment
The purpose of this brief extension is reporting the exact results, by introduction a correlation factor, for the dissipative a system which consisting of a particle in one-dimension coupled to a sum of an infinite...
Calculation of Stau-Atoms and Molecules Formation Rates for Different Common Fusion Fuels in Stau Catalyzed Fusion
Stau fusion catalyzed fusion proceeds inside the fuel mixture with a wide range of temperature considered. The purpose of this paper is to present a detailed calculation of Stau-atoms and molecules formation rates for di...
Are there rings around Pluto?
Considering effects of tidal plus centrifugal stress acting on icy-rocks and the tensile strength thereof, icy-rocks being in the density range (1–2.4) g cm-3 which had come into existence as collisional ejecta (debris)...
The Electromagnetic Radiation Mechanism
This paper suggested a mechanism for Electromagnetic Radiation (EM-R); the mechanism is based on the Flip-Flop (F-F) of combined Circular Magnetic Field (CMF) and Electric Field (EF) produced by energetic charged particl...