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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.
Analysis of boundary conditions effects on vibration of nanobeam in a polymeric matrix
Belmahi, Samir,Zidour, Mohamed,Meradjah, Mustapha,Bensattalah, Tayeb,Dihaj, Ahmed Techno-Press 2018 Structural Engineering and Mechanics, An Int'l Jou Vol.67 No.5
In this study, we investigate the vibration of single-walled carbon nanotubes embedded in a polymeric matrix using nonlocal elasticity theories with account arbitrary boundary conditions effects. A Winkler type elastic foundation is employed to model the interaction of nanobeam and the surrounding elastic medium. Influence of all parameters such as nonlocal small-scale effects, Winkler modulus parameter, vibration mode and aspect ratio of nanobeam on the vibration frequency are analyzed and discussed. The mechanical properties of carbon nanotubes and polymer matrix are treated and an analytical solution is derived using the governing equations of the nonlocal Euler-Bernoulli beam models. Solutions have been compared with those obtained in the literature and The results obtained show that the non-dimensional natural frequency is significantly affected by the small-scale coefficient, the vibrational mode number and the elastic medium.
Analysis of boundary conditions effects on vibration of nanobeam in a polymeric matrix
Samir Belmahi,Mohamed Zidour,Mustapha Meradjah,Tayeb Bensattalah,Ahmed Dihaj 국제구조공학회 2018 Structural Engineering and Mechanics, An Int'l Jou Vol.67 No.5
In this study, we investigate the vibration of single-walled carbon nanotubes embedded in a polymeric matrix using nonlocal elasticity theories with account arbitrary boundary conditions effects. A Winkler type elastic foundation is employed to model the interaction of nanobeam and the surrounding elastic medium. Influence of all parameters such as nonlocal small-scale effects, Winkler modulus parameter, vibration mode and aspect ratio of nanobeam on the vibration frequency are analyzed and discussed. The mechanical properties of carbon nanotubes and polymer matrix are treated and an analytical solution is derived using the governing equations of the nonlocal Euler-Bernoulli beam models. Solutions have been compared with those obtained in the literature and The results obtained show that the non-dimensional natural frequency is significantly affected by the small-scale coefficient, the vibrational mode number and the elastic medium.