Size-Dependent Free Vibration of Axially Moving Nanobeams Using Eringen’s Two-Phase Integral Model

Autor: Yuanbin Wang, Zhimei Lou, Kai Huang, Xiaowu Zhu
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: Applied Sciences, Vol 8, Iss 12, p 2552 (2018)
Druh dokumentu: article
ISSN: 2076-3417
DOI: 10.3390/app8122552
Popis: In this paper, vibration of axially moving nanobeams is studied using Eringen’s two-phase nonlocal integral model. Geometric nonlinearity is taken into account for the integral model for the first time. Equations of motion for the beam with simply supported and fixed⁻fixed boundary conditions are obtained by Hamilton’s Principle, which turns out to be nonlinear integro-differential equations. For the free vibration of the nanobeam, the critical velocity and the natural frequencies are obtained numerically. Furthermore, the effects of parameters on critical velocity and natural frequency are analyzed. We have found that, for the two-phase nonlocal integral model, regardless of the boundary conditions considered, both the critical velocity and the natural frequency increase with the nonlocal parameter and the geometric parameter.
Databáze: Directory of Open Access Journals