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《固体力学学报(英文版)》 2014-01
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NONLINEAR AND QUASI-LINEAR BEHAVIOR OF A CURVED CARBON NANOTUBE VIBRATING IN AN ELECTRIC FORCE FIELD; AN ANALYTICAL APPROACH

P.Soltani;A.Kassaei;M.M.Taherian;Department of Mechanical Engineering, Semnan Branch, Islamic Azad University;Young Researchers Club, Semnan Branch, Islamic Azad University;  
The nonlinear vibrational model of a slightly curved single-walled carbon nanotube(SWCNT) resting on a Winkler-type elastic foundation is developed using nonlocal Euler- Bernoulli elastic theory. The SWCNT is assumed to vibrate under an external harmonic electric force field and an analytical solution is proposed to obtain the nonlinear resonant frequencies. The results show good agreement with the numerical simulation and the obtained analytical frequency is completely related to the curvature of the nanotube. Our model predicts that although the model is nonlinear in nature, the curved SWCNT could behave linearly in a certain amount of curvatures and this quasi-linear vibrational behavior of curved SWCNT is a function of aspect ratio, nonlocal parameter, and stiffness of the foundation.
【Key Words】: single-walled carbon nanotube curvature nonlinear vibration quasi-linear vibration multiple scales method
【CateGory Index】: TB383.1
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【Co-citations】
Chinese Journal Full-text Database 3 Hits
1 YAO Xiao-hu;CHEN Da;SUN Yu-gang;OU Zhi-cheng;LI Han-zhou;Department of Engineering Mechanics,School of Civil Engineering and Transportation, South China University of Technology;;Combined torsional buckling of small size carbon nanotubes in multi-field coupling[J];Optics and Precision Engineering;2013-08
2 Yao Gao;Gui-ying Zong;Hong-wei Bai;Qiang Fu;College of Polymer Science and Engineering, State Key Laboratory of Polymer Materials Engineering, Sichuan University;Zhejiang Industry & Trade Vocational College;;Combined Effects of Stretching and Nanofillers on the Crystalline Structure and Mechanical Properties of Polypropylene and Single-walled Carbon Nanotube Composite Fibers[J];高分子科学(英文版);2014-02
3 R. ANSARI;S. ROUHI;M. ARYAYI;Department of Mechanical Engineering, University of Guilan,Rasht 3756, Iran;Young Researchers Club, Langroud Branch, Islamic Azad University,Langroud 44715-1333, Iran;;Nanoscale finite element models for vibrations of single-walled carbon nanotubes: atomistic versus continuum[J];应用数学和力学(英文版);2013-10
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