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http://dx.doi.org/10.12989/sem.2018.67.5.517

Analysis of boundary conditions effects on vibration of nanobeam in a polymeric matrix  

Belmahi, Samir (University of Ibn Khaldoun)
Zidour, Mohamed (University of Ibn Khaldoun)
Meradjah, Mustapha (Laboratory of Materials and Hydrology, University of Sidi Bel Abbes)
Bensattalah, Tayeb (University of Ibn Khaldoun)
Dihaj, Ahmed (Laboratory of Materials and Hydrology, University of Sidi Bel Abbes)
Publication Information
Structural Engineering and Mechanics / v.67, no.5, 2018 , pp. 517-525 More about this Journal
Abstract
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.
Keywords
non-local; frequency; Winkler; boundary conditions; nanobeam;
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