Journal
APPLIED MATHEMATICAL MODELLING
Volume 38, Issue 11-12, Pages 2934-2945Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2013.11.011
Keywords
Carbon nanotubes composites; Elastic matrix; Dynamic stability; Parametric resonance; Surface effect
Funding
- National Science Foundation of China [11172165]
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Based on an effective model of multi-walled carbon nanotubes and Donnell-shell theory, an analytical method is presented to study dynamic stability characteristics of multi-walled carbon nanotubes reinforced composites considering the surface effect of carbon nanotubes. From obtained results it is seen that carbon nanotubes composites, under combined static and periodic axial loads, may occur in a parametric resonance, the parametric resonance frequency of dynamic instability regions of CNTs reinforced composites under axially oscillation loading enhances as the stiffness of matrix surrounding CNTs increases, and the surface effective modulus and residue stress of carbon nanotubes make the parametric resonance frequency and the region breadth of dynamic instability of carbon nanotubes reinforced composites increase. (C) 2013 Elsevier Inc. All rights reserved.
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