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基于非局部弹性理论的碳纳米管振动特性研究 被引量：1

Vibration of Carbon Nanotubes Based on the Nonlocal Elastic Theory
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摘要 基于非局部弹性理论,建立了碳纳米管壳体模型的应力应变关系.根据基本方程和平衡条件,分别给出了单壁和多壁碳纳米管动力学控制微分方程;通过对动力学方程求解,获得了碳纳米管振动的固有频率.研究结果表明:随着振动模式的增加,碳纳米管的振动基频都会增大;而随着碳纳米管的长度或直径的增大,碳纳米管的振动基频都会降低. The relationship of stress and strain was obtained on the basis of the nonlocal elastic theory. The governing differential equation was derived with the help of these basic equations and equilibrium condition. The inner characteristic length was incorporated in the formulation. The fundamental frequency of a carbon nanotube was obtained from the solution of the governing differential equation, The results showed that the fundamental frequency increased with the increase of vibrational model, and that the fundamental frequency decreased as the diameter or length of carbon nanotubes increased.
作者 谢根全 龙述尧 韩旭
机构地区 湖南大学力学与航空航天学院 湖南大学现代车身技术教育部重点实验室
出处 《湖南大学学报（自然科学版）》 EI CAS CSCD 北大核心 2006年第6期76-80,共5页 Journal of Hunan University:Natural Sciences
基金 国家自然科学基金资助项目(10372031)
关键词 碳纳米管 非局部弹性理论 振动 carbon nanotubes nonlocal elasticity vibration
分类号 O327 [理学—一般力学与力学基础]
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参考文献16

  • 1RU C Q, Axially compressed buckling of a double-walled carbon nanotube embedded in an elastic medium[J]. Journal of Mechanics and Physical Solids, 2001,49:1265 - 1279.
  • 2LI C Y, CHOU T W. Quantized molecular structural mechanics modeling for studying the specific heat of single-walled carbon nanotubes[J]. Physics Review, 2005 ,B71:075409 - 1 - 6,
  • 3WANG C Y, RU C Q, MIODUCHOWSKI A. Axially compressed buckling of pressured multiwall carbon nanotubes[J ]. International Journal of Solids and Structures, 2003, 40; 3893 -3911.
  • 4QIAN H, XU K Y, RU C Q. Curvature effects on axially compressed buckling of a smaU-diameter double-walled carbon nanotube[J ]. International Journal of Solids and Structures, 2005,42 : 5426 - 5440.
  • 5KOHLHOFF S, GUMBSCH P, FISCHEISTER H F. Crack propagation in bcc crystal studied with a combined finite element and atomistic model[J]. Phil Mag, 1991, A 64(4) :851 - 878.
  • 6GUMBSCH P. An atomistic study of brittle fracture: toward explicit failure criteria from atomistic modeling[J ]. Journal of Material Resource, 1996, 10 : 2897 - 2907.
  • 7LI C Y, CHOU T W. Single-walled carbon nanotubes as ultrahigh frequency nanomechanical resonators [ J ]. Phys Rev, 2003,1368 : 073405 - 8.
  • 8LI C Y, CHOU T W. Vibrational behaviors of multi-walled carbon nanotube-based nanomechanical resonators [J]. Applied Physics Letters,2004,84(1 ) : 121 - 123.
  • 9ZHANG Y Q, LIU G R, HAN X. Transverse vibrations of double-walled carbon nanotubes under compressive axial load [ J ].Physics Letters,2005, A 340:258 - 266.
  • 10CHAKRABORTY A, SIVKUMAR M S, GOPALAKRISHNA N. Spectral dement based model for wave propagation analysis in multi-walled carbon nanotubes[J ]. International Journal of Solids and Structures, 2006,43 (2) : 279 - 294.

同被引文献22

  • 1李海军,郭万林.单壁碳纳米管的等效梁单元有限元模型[J].力学学报,2006,38(4):488-495. 被引量：8
  • 2Iijima S. Helical microtubules of graphitic carbon [J].Nature, 1991, 354: 56-58.
  • 3Lu J P. Elastic properties of carbon nanotubes and nanoropes [J]. Physical Review Letters, 1997, 79 (7): 1 297--1 300.
  • 4Jin Y, Yuan F G. Elastic properties of single-walled carbon nanotubes [A]. 43rd AIAA/ASME/ASCE/ ASC Structures, Structural Dynamics, and Materials Conference[C]. Denver, Colorado, 2002, 1430.
  • 5Yu M F, Files B S, Arepalli S, et al. Tensile loading of ropes of single wall carbon nanotubes and their mechanical properties [ J]. Physical Review Letters, 2000, 84(24):5 552-5 555.
  • 6Thostenson E T, Zhifeng Ren, Tsu-Wei Chou. Advances in the science and technology of carbon nanotubes and their composites: a review [J]. Composires Science and Technology, 2001, 61 : 1 899--1 912.
  • 7Ronald F Gibson, Emmanuel O Ayorinde, Yuan-Feng Wen. Vibrations of carbon nanotubes and their com- posites: A review [J]. Composites Science and Technology, 2007,67 : 1-28.
  • 8MeyyappanM. Carbon nanotube based nanotechnology for space applications[A]. AIAA Space 2000 Conference &Exposition[C]. Long Beach, CA, 2000. 53466.
  • 9Snow E S, Campbell P M, Novak J P. Single-wall carbon nanotube atomic force microscope probes[J]. Applied Physics Letters, 2002, 80(11): 2002-- 2 003.
  • 10Treaey M M J, Ebbesen T W, Gibson J M. Exceptionally high Young's modulus observed for individual carbonnanotubes[J]. Nature, 1996, 381: 678-680.

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湖南大学学报（自然科学版）
2006年 第6期

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