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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.
  • [1] Wang L, Hu H. Flexural wave propagation in single-walled carbon nanotubes[J].Physical Review B,2005,71(19): 195412.
    [2] Wang Q, Varadan V K. Wave characteristics of carbon nanotubes[J].International Journal of Solids and Structures,2006,43(2): 254-265.
    [3] Yoon J, Ru C Q, Mioduchowski A. Timoshenko-beam effects on transverse wave propagation in carbon nanotubes[J].Composites Part B: Engineering,2004,35(2): 87-93.
    [4] Peddieson J, Buchanan G R, Mcnitt R P. Application of nonlocal continuum models to nanotechnology[J].International Journal of Engineering Science,2003,41(3/5): 305-312.
    [5] Lu P, Lee H P, Lu C, Zhang P Q. Dynamic properties of flexural beams using a nonlocal elasticity model[J].Journal of Applied Physics,2006,99(7): 073510-9.
    [6] Zhang Y Q, Liu G R, Xie X Y. Free transverse vibrations of double-walled carbon nanotubes using a theory of nonlocal elasticity[J].Physical Review B,2005,71(19): 195404.
    [7] Wang Q, Wang C M. The constitutive relation and small scale parameter of nonlocal continuum mechanics for modelling carbon nanotubes[J].Nanotechnology,2007,18(7): 075702.
    [8] Zhang Y Q, Liu G R, Wang J S. Small-scale effects on buckling of multiwalled carbon nanotubes under axial compression[J].Physical Review B,2004,70(20): 205430.
    [9] Ece M C, Aydogdu M. Nonlocal elasticity effect on vibration of in-plane loaded double-walled carbon nano-tubes[J].Acta Mechanica,2007,190(1/4): 185-195.
    [10] Wang C M, Zhang Y Y, He X Q. Vibration of nonlocal Timoshenko beams[J].Nanotechnology,2007,18(10): 105401.
    [11] Sudak L J. Column buckling of multiwalled carbon nanotubes using nonlocal continuum mechanics[J].Journal of Applied Physics,2003,94(11): 7281-7287.
    [12] Eringen A C. On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves[J].Journal of Applied Physics,1983,54(9): 4703-4710.
    [13] 方同, 薛璞. 振动理论及应用[M]. 西安: 西北工业大学出版社, 1998.(FANG Tong, XUE Pu.Theory of Vibration With Applications [M]. Xi’an:Northwestern Polytechnical University Press, 1998.(in Chinese))
    [14] 王碧蓉, 邓子辰, 徐晓建. 基于梯度理论的碳纳米管弯曲波传播规律的研究[J].西北工业大学学报, 2013,31(5): 774-778.(WANG Bi-rong, DENG Zi-chen, XU Xiao-jian. Modified Timoshenko beam models for flexural wave dispersion in carbon nanotubes with shear deformation considered[J].Journal of Northwestern Polytechnical University,2013,31(5): 774-778.(in Chinese))
    [15] Lu P, Lee H P, Lu C, Zhang P Q. Application of nonlocal beam models for carbon nanotubes[J].International Journal of Solids and Structures,2007,44(16): 5289-5300.
    [16] Wang Q, Zhou G Y, Lin K C. Scale effect on wave propagation of double-walled carbon nanotubes[J].International Journal of Solids and Structures,2006,43(20): 6071-6084.
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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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