Tounsi Abdeloauhed, Heireche Houari, Benzair Abdelnour, Mechab Ismail
Laboratoire des Matériaux et Hydrologie, Université de Sidi Bel Abbés, BP 89 Cité Ben M'hidi, 22000 Sidi Bel Abbés, Algeria.
J Phys Condens Matter. 2009 Nov 4;21(44):448001. doi: 10.1088/0953-8984/21/44/448001. Epub 2009 Oct 9.
Most recently, Lee and Chang (2009 J. Phys.: Condens. Matter 21 115302) combined nonlocal theory and Euler-Bernoulli beam theory in the study of the vibration of the fluid-conveying double-walled carbon nanotube. In this recent published work, the importance of using nonlocal stress tensors consistently has been overlooked, and some ensuring relations were still presented based on the local stress components. Therefore, the governing equations and applied forces obtained in this manner are either inconsistent or incomplete. In this comment, the consistent governing equations for modelling free transverse vibration of the fluid-conveying double-walled carbon nanotube using the nonlocal Euler-Bernoulli beam model are derived.
最近，Lee和Chang（《物理学报：凝聚态物质》2009年，第21卷，第115302页）在研究流体输送双壁碳纳米管的振动时，将非局部理论与欧拉 - 伯努利梁理论相结合。在这项最近发表的工作中，始终如一地使用非局部应力张量的重要性被忽视了，并且一些确保关系仍然是基于局部应力分量给出的。因此，以这种方式获得的控制方程和作用力要么不一致，要么不完整。在本评论中，推导了使用非局部欧拉 - 伯努利梁模型对流体输送双壁碳纳米管的自由横向振动进行建模的一致控制方程。
