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Free vibration analysis of chiral double-walled carbon nanotube using non-local elasticity theory
Rakrak, Kaddour,Zidour, Mohamed,Heireche, Houari,Bousahla, Abdelmoumen Anis,Chemi, Awda Techno-Press 2016 Advances in nano research Vol.4 No.1
This article is concerned with the free vibration problem for chiral double-walled carbon nanotube (DWCNTs) modelled using the non-local elasticity theory and Euler Bernoulli beam model. According to the governing equations of non-local Euler Bernoulli beam theory and the boundary conditions, the analytical solution is derived and two branches of transverse wave propagating are obtained. The numerical results obtained provide better representations of the vibration behaviour of double-walled carbon nanotube, where the aspect ratio of the (DWCNTs), the vibrational mode number, the small-scale coefficient and chirality of double-walled carbon nanotube on the frequency ratio (${\chi}^N$) of the (DWCNTs) are significant. In this work, the numerical results obtained can be used to predict and prevent the phenomenon of resonance for the forced vibration analyses of double -walled carbon nanotubes.
Dihaj, Ahmed,Zidour, Mohamed,Meradjah, Mustapha,Rakrak, Kaddour,Heireche, Houari,Chemi, Awda Techno-Press 2018 Structural Engineering and Mechanics, An Int'l Jou Vol.65 No.3
The transverse free vibration of chiral double-walled carbon nanotube (DWCNTs) embedded in elastic medium is modeled by the non-local elasticity theory and Euler Bernoulli beam model. The governing equations are derived and the solutions of frequency are obtained. According to this study, the vibrational mode number, the small-scale coefficient, the Winkler parameter and chirality of double-walled carbon nanotube on the frequency ratio (xN) of the (DWCNTs) are studied and discussed. The new features of the vibration behavior of (DWCNTs) embedded in an elastic medium and the present solutions can be used for the static and dynamic analyses of double-walled carbon nanotubes.
Ahmed Dihaj,Mohamed Zidour,Mustapha Meradjah,Kaddour Rakrak,Houari Heireche,Awda Chemi 국제구조공학회 2018 Structural Engineering and Mechanics, An Int'l Jou Vol.65 No.3
The transverse free vibration of chiral double-walled carbon nanotube (DWCNTs) embedded in elastic medium is modeled by the non-local elasticity theory and Euler Bernoulli beam model. The governing equations are derived and the solutions of frequency are obtained. According to this study, the vibrational mode number, the small-scale coefficient, the Winkler parameter and chirality of double-walled carbon nanotube on the frequency ratio (χN) of the (DWCNTs) are studied and discussed. The new features of the vibration behavior of (DWCNTs) embedded in an elastic medium and the present solutions can be used for the static and dynamic analyses of double-walled carbon nanotubes.
Critical buckling load of chiral double-walled carbon nanotube using non-local theory elasticity
Chemi, Awda,Heireche, Houari,Zidour, Mohamed,Rakrak, Kaddour,Bousahla, Abdelmoumen Anis Techno-Press 2015 Advances in nano research Vol.3 No.4
The present paper investigate the elastic buckling of chiral double-walled carbon nanotubes (DWCNTs) under axial compression. Using the non-local elasticity theory, Timoshenko beam model has been implemented. According to the governing equations of non-local theory, the analytical solution is derived and the solution for non-local critical buckling loads is obtained. The numerical results show the influence of non-local small-scale coefficient, the vibrational mode number, the chirality of carbon nanotube and aspect ratio of the (DWCNTs) on non-local critical buckling loads of the (DWCNTs). The results indicate the dependence of non-local critical buckling loads on the chirality of single-walled carbon nanotube with increase the non-local small-scale coefficient, the vibrational mode number and aspect ratio of length to diameter.