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| 基于非局部弹性理论的碳纳米管振动特性研究 | |
| 引用本文： | 谢根全,龙述尧,韩旭.基于非局部弹性理论的碳纳米管振动特性研究[J].湖南大学学报(自然科学版),2006,33(6):76-80. |
| 作者姓名： | 谢根全 龙述尧 韩旭 |
| 作者单位： | 1. 湖南大学,力学与航空航天学院,湖南,长沙,410082;湖南大学,现代车身技术教育部重点实验室,湖南,长沙,410082 2. 湖南大学,力学与航空航天学院,湖南,长沙,410082 3. 湖南大学,现代车身技术教育部重点实验室,湖南,长沙,410082 |
| 基金项目： | 国家自然科学基金资助项目(10372031) |
| 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. |
| 关 键 词： | 碳纳米管 非局部弹性理论 振动 |
| 文章编号： | 1000-2472（2006）06-0076-05 |
| 收稿时间： | 04 18 2006 12:00AM |
| 修稿时间： | 2006-04-18 |
Vibration of Carbon Nanotubes Based on the Nonlocal Elastic Theory |
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| XIE Gen-quan,LONG Shu-yao,HAN Xu.Vibration of Carbon Nanotubes Based on the Nonlocal Elastic Theory[J].Journal of Hunan University(Naturnal Science),2006,33(6):76-80. | |
| Authors: | XIE Gen-quan LONG Shu-yao HAN Xu |
| Abstract: | 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. |
| Keywords: | carbon nanotubes nonlocal elasticity vibration |
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