Nonlocal effects of longitudinal vibration in nanorod with internal long-range interactions

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:49

Article

Huang, Zaixing

关键词: Physically-based nonlocal model;    Long-range interaction;    Eigenfrequency;    Forbidden band;    Nonlocal Lagrange formulation;   

DOI  :  10.1016/j.ijsolstr.2012.04.020

来源: Elsevier

【 摘 要 】

The physically-based nonlocal model is used to investigate influences of the nonlocal long-range interactions on the longitudinal vibration of nanorod. The exact solution of the vibration is determined under the condition of a uniform nonlocal kernel. Nonlocal effects in the vibration of the nanorod are examined in detail. The results show that the nanorod becomes stiffer due to the internal long-range interactions. Meanwhile, an upper bound of the material parameter characterizing the long-range interactions is found. The low-frequency insulating effect induced by the long-range interactions is predicted. This effect shows that there exists a forbidden band of basic frequency within which external excitation is not transmitted in the nanorod. The Lagrangian formulations of the physically-based nonlocal theory are established based on a new definition of nonlocal variable. By these formulations, the physically-based nonlocal model can be conveniently expanded into beam, plate and shell. (C) 2012 Elsevier Ltd. All rights reserved.

【 授权许可】

Free