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剪力非局部因子对双壁碳纳米管中弯曲波频散特性的影响

王碧蓉 邓子辰 徐晓建 王艳

王碧蓉, 邓子辰, 徐晓建, 王艳. 剪力非局部因子对双壁碳纳米管中弯曲波频散特性的影响[J]. 应用数学和力学, 2014, 35(5): 478-486. doi: 10.3879/j.issn.1000-0887.2014.05.002
引用本文: 王碧蓉, 邓子辰, 徐晓建, 王艳. 剪力非局部因子对双壁碳纳米管中弯曲波频散特性的影响[J]. 应用数学和力学, 2014, 35(5): 478-486. doi: 10.3879/j.issn.1000-0887.2014.05.002
WANG Bi-rong, DENG Zi-chen, XU Xiao-jian, WANG Yan. Effects of Nonlocal Shear Factor on Flexural Wave Dispersion in Double-Walled Carbon Nanotubes[J]. Applied Mathematics and Mechanics, 2014, 35(5): 478-486. doi: 10.3879/j.issn.1000-0887.2014.05.002
Citation: WANG Bi-rong, DENG Zi-chen, XU Xiao-jian, WANG Yan. Effects of Nonlocal Shear Factor on Flexural Wave Dispersion in Double-Walled Carbon Nanotubes[J]. Applied Mathematics and Mechanics, 2014, 35(5): 478-486. doi: 10.3879/j.issn.1000-0887.2014.05.002

剪力非局部因子对双壁碳纳米管中弯曲波频散特性的影响

doi: 10.3879/j.issn.1000-0887.2014.05.002
基金项目: 国家重点基础研究发展计划(973计划)(2011CB610300);111引智计划项目(B07050);国家自然科学基金(11372252;11172239);大连理工大学工业装备结构分析国家重点实验室开放基金(GZ0802);高校博士点基金(20126102110023)
详细信息
    作者简介:

    王碧蓉(1989—),女,陕西人,硕士生(E-mail: wangbirong@mail.nwpu.edu.cn)

  • 中图分类号: TB383;O348.9

Effects of Nonlocal Shear Factor on Flexural Wave Dispersion in Double-Walled Carbon Nanotubes

Funds: The National Basic Research Program of China(973 Program)(2011CB610300);The National Natural Science Foundation of China(11372252;11172239)
  • 摘要: 基于应力梯度理论修正的Timoshenko(铁木辛柯)梁模型,结合管间Van der Waals(范德华)力,研究了非局部效应对双壁碳纳米管中弹性波各阶模态的相速度、频率、临界频率、内外管振幅比等频散特性的影响.数值模拟结果表明:在应力梯度理论修正模型下,对应同一波数,4阶模态的相速度、频率均随剪力非局部因子的增大而减小,且随着剪力非局部因子的等幅增加,相速度、频率的减小并没有明显的等幅规律;值得注意的是,3、4阶模态的内外管振幅比并不是随着剪力非局部因子的增加依次减小;在波数较高阶段,剪力非局部因子对双壁碳纳米管中波的相速度、频率、渐近频率、内外管振幅比等频散特性均有显著影响.
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出版历程
  • 收稿日期:  2013-12-19
  • 修回日期:  2014-02-18
  • 刊出日期:  2014-05-15

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