| 基于非局部弹性理论的充液双壁碳纳米管振动特性分析 |
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| 引用本文： | 杨智春,邓庆田.基于非局部弹性理论的充液双壁碳纳米管振动特性分析[J].工程力学,2012,29(5):213-218,229. |
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| 作者姓名： | 杨智春 邓庆田 |
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| 作者单位： | 西北工业大学航空学院, 陕西, 西安 710072 |
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| 基金项目： | 高等学校学科创新引智计划项目(B07050) |
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| 摘 要： | 基于非局部弹性理论和Flügge壳理论,建立了充液双壁碳纳米管振动方程,计算了简支边界条件下碳纳米管的振动固有频率。用数值计算方法,分析了波数、几何参数和材料参数对振动频率的影响,并对比了局部和非局部弹性理论对结果的影响。结果表明,随着碳纳米管长度和半径的增大,振动频率逐渐减小;且随着小尺度参数的增大,频率也呈下降趋势。
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| 关 键 词： | 双壁碳纳米管 充液 非局部弹性理论 小尺度效应 振动 |
| 收稿时间： | 2012-05-09 |
NONLOCAL ELASTIC THEORY FOR VIBRATION OF FLUID-FILLED DOUBLE-WALLED CARBON NANOTUBES |
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| YANG Zhi-chun,DENG Qing-tian.NONLOCAL ELASTIC THEORY FOR VIBRATION OF FLUID-FILLED DOUBLE-WALLED CARBON NANOTUBES[J].Engineering Mechanics,2012,29(5):213-218,229. |
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| Authors: | YANG Zhi-chun DENG Qing-tian |
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| Affiliation: | School of Aeronautics, Northwestern Polytechnical University, Xi’an, Shaanxi 710072, China |
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| Abstract: | The vibration characteristics of fluid-filled double-walled carbon nanotubes are investigated and vibrational equations are established based on the nonlocal elastic theory and Flügge shell theory in this paper.By considering simple supported boundary conditions,the fundamental frequency of carbon nanotubes is obtained.In the numerical calculation,the effects of wave numbers,geometric and material parameters on vibration frequency are analyzed,while effects of local and nonlocal elastic theories are also discussed.The results showed that the frequency decreased with the increase of the diameter,the length of nanotubes and the value of small scaling parameters. |
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| Keywords: | double-walled carbon nanotubes fluid-filled nonlocal elastic theory small-scale effect vibration |
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