Axial dynamics of a nanorod embedded in an elastic medium using doublet mechanics
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- 作者：Ufuk Gul<sup>asup> ; Metin Aydogdu<sup>asup><sup> ; sup><sup>metina@trakya.edu.trsup> ; Guler Gaygusuzoglu<sup>bsup>
- 关键词：Carbon nanotube ; Doublet mechanics ; Elastic medium stiffness ; Vibration
- 刊名：Composite Structures
- 出版年：2017
- 出版时间：15 January 2017
- 年：2017
- 卷：160
- 期：Complete
- 页码：1268-1278
- 全文大小：2900 K
- 卷排序：160
文摘
This study investigates the axial vibration of carbon nanotubes (CNTs) embedded in an elastic medium using scale dependent doublet mechanics (DM) theory. Governing equations and all boundary conditions of CNTs are derived based on the variational principle. Free vibration frequencies are obtained and compared with the classical elasticity results for clamped-clamped (C-C) and clamped-free (C-F) boundary conditions. The effect of elastic medium stiffness, nanorod length and doublet separation distance on the axial vibration is examined. It is obtained that important differences exist between vibration frequencies predicted by classical elasticity theory and DM. DM theory can be used in the nano length scale design of structures.