VIBRATION CHARACTERISTICS OF SINGLE-WALLED CARBON NANOTUBES EMBEDDEDIN NON-LOCAL VISCOELASTIC MEDIUM

Abstract

Abstract: Based on the nonlocal elasticity theory, the vibration characteristics of single-walled carbon nanotubes embedded in nonlocal viscoelastic medium are researched. The Euler-Bernoulli beam model and nonlocal viscoelastic foundation model are introduced to establish the governing equations for the vibration of the carbon nanotubes. The transfer function method is then employed to derive the natural frequencies of the embedded carbon nanotubes with arbitrary boundary conditions. Subsequently, a SWCNT embedded in nonlocal viscoelastic medium is taken as a numerical example, and the first three natural frequencies of the SWCNT are obtained for different boundary conditions and nonlocal parameters. In addition, the influences of nonlocal viscoelastic medium on the natural frequencies are examined. The results demonstrate the efficiency of the proposed modeling method for the vibration response of the SWCNTs embedded in a medium.

Key words: carbon nanotubes, nonlocal elasticity theory, vibration characteristics, nonlocal viscoelastic medium

CLC Number:

TB332

LI Qing-li, ZHAO Jing. VIBRATION CHARACTERISTICS OF SINGLE-WALLED CARBON NANOTUBES EMBEDDEDIN NON-LOCAL VISCOELASTIC MEDIUM[J]. Fiber Reinforced Plastics/Composites, 2016, 0(6): 48-53.

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