|
Advances in Materials Research Volume 7, Number 3, September 2018 , pages 163-174 DOI: https://doi.org/10.12989/amr.2018.7.3.163 |
||
|
Analytical analysis for the forced vibration of CNT surrounding elastic medium including thermal effect using nonlocal Euler-Bernoulli theory |
||
Tayeb Bensattalah, Mohamed Zidour and Tahar Hassaine Daouadji
|
||
| Abstract | ||
| This article studies the free and forced vibrations of the carbon nanotubes CNTs embedded in an elastic medium including thermal and dynamic load effects based on nonlocal Euler- Bernoulli beam. A Winkler type elastic foundation is employed to model the interaction of carbon nanotube and the surrounding elastic medium. Influence of all parameters such as nonlocal small-scale effects, high temperature change, Winkler modulus parameter, vibration mode and aspect ratio of short carbon nanotubes on the vibration frequency are analyzed and discussed. The non-local Euler-Bernoulli beam model predicts lower resonance frequencies. The research work reveals the significance of the small-scale coefficient, the vibrational mode number, the elastic medium and the temperature change on the non-dimensional natural frequency. | ||
| Key Words | ||
| Winkler\'s moduls; forced vibration; carbon nanotubes; non-local Euler beam theory | ||
| Address | ||
| (1) Département de génie civil, Université Ibn Khaldoun Tiaret; BP 78 Zaaroura, Tiaret, Algérie; (2) Laboratoire de Géomatique et Développement Durable, Université de Tiaret, Algérie. | ||
