Vibration analysis of viscoelastic single-walled carbon nanotubes resting on a viscoelastic foundation

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• 作者：Da-Peng Zhang ; Yong-Jun Lei ; Cheng-Yuan Wang&#8230
• 关键词：Carbon nanotubes ; Nonlocal viscoelastic theory ; Vibration ; Viscoelastic foundation
• 刊名：Journal of Mechanical Science and Technology
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：31
• 期：1
• 页码：87-98
• 全文大小：
• 刊物类别：Engineering
• 刊物主题：Mechanical Engineering; Vibration, Dynamical Systems, Control; Industrial and Production Engineering;
• 出版者：Korean Society of Steel Construction
• ISSN：1976-3824
• 卷排序：31

文摘

Vibration responses were investigated for a viscoelastic Single-walled carbon nanotube (visco-SWCNT) resting on a viscoelastic foundation. Based on the nonlocal Euler-Bernoulli beam model, velocity-dependent external damping and Kelvin viscoelastic foundation model, the governing equations were derived. The Transfer function method (TFM) was then used to compute the natural frequencies for general boundary conditions and foundations. In particular, the exact analytical expressions of both complex natural frequencies and critical viscoelastic parameters were obtained for the Kelvin-Voigt visco-SWCNTs with full foundations and certain boundary conditions, and several physically intuitive special cases were discussed. Substantial nonlocal effects, the influence of geometric and physical parameters of the SWCNT and the viscoelastic foundation were observed for the natural frequencies of the supported SWCNTs. The study demonstrates the efficiency and robustness of the developed model for the vibration of the visco-SWCNT-viscoelastic foundation coupling system.