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INVESTIGATION OF THE DYNAMIC BUCKLING OF DOUBLEWALLED CARBON NANOTUBE SUBJECTED TO AXIAL PERIODIC DISTURBING FORCES
作者姓名:沙风焕  赵隆茂  杨桂通
作者单位:Institute of Applied Mechanics,Taiyuan University of Technology,Taiyuan 030024,P.R.China,Institute of Applied Mechanics,Taiyuan University of Technology,Taiyuan 030024,P.R.China,Institute of Applied Mechanics,Taiyuan University of Technology,Taiyuan 030024,P.R.China
基金项目:ProjectsupportedbytheNationalNaturalScienceFoundationofChina (No .1 0 1 72 0 63 )
摘    要:IntroductionThediscoveryofthefirstcarbonnanotubes1]hasattractedwideattentionandstimulatedextensivestudies2 - 5 ].Thestudiesshowedthatthecarbonnanotubesexhibitsuperiormechanical,electronicandchemicalproperties.Onthemechanicalbehavior,thecarbonnanotubespossessexceptionallyhighstrength ,stiffnessandelasticmodulus.Theestimatemodulusofthecarbonnanotubemayreachashighas 1TPa.Itisthelargestofallknownmaterials.Thestrengthorstiffnessishigherthananyknownfiber3].Thecarbonnanotubeareusedascompositemat…

关 键 词:碳纳米管  力学屈曲  范德瓦尔斯力  弹性介质
收稿时间:18 June 2003

Investigation of the dynamic buckling of doublewalled carbon nanotube subjected to axial periodic disturbing forces
Sha Feng-huan Associate Professor, Doctor,Zhao Long-mao,Yang Gui-tong.INVESTIGATION OF THE DYNAMIC BUCKLING OF DOUBLEWALLED CARBON NANOTUBE SUBJECTED TO AXIAL PERIODIC DISTURBING FORCES[J].Applied Mathematics and Mechanics(English Edition),2005,26(3):299-306.
Authors:Sha Feng-huan Associate Professor  Doctor  Zhao Long-mao  Yang Gui-tong
Institution:Institute of Applied Mechanics, Taiyuan University of Technology, Taiyuan 030024, P.R. China
Abstract:The dynamic response of a double_walled carbon nanotube embedded in elastic medium subjected to periodic disturbing forces is investigated. Investigation of the dynamic buckling of a double_walled carbon nanotube develops continuum model. The effect of the van der Waals forces between two tubes and the surrounding elastic medium for axial dynamic buckling are considered. The buckling model subjected to periodic disturbing forces and the critical axial strain and the critical frequencies are given. It is found that the critical axial strain of the embedded multi_walled carbon nanotube due to the intertube van der Waals forces is lower than that of an embedded single_walled carbon nanotube. The van der Waals forces and the surrounding elastic medium affect region of dynamic instability. The van der Waals forces increase the critical frequencies of a double_walled carbon nanotube. The effect of the surrounding elastic medium for the critical frequencies is small.
Keywords:carbon nanotube  dynamic buckling  van der Waals force  elastic medium
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