Free Vibrations of a Cantilevered SWCNT with Distributed Mass in the Presence of Nonlocal Effect
Joint Authors
De Rosa, Maria Anna
Lippiello, Maria
Martin, H. D.
Source
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-03-01
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
The Hamilton principle is applied to deduce the free vibration frequencies of a cantilever single-walled carbon nanotube (SWCNT) in the presence of an added mass, which can be distributed along an arbitrary part of the span.
The nonlocal elasticity theory by Eringen has been employed, in order to take into account the nanoscale effects.
An exact formulation leads to the equations of motion, which can be solved to give the frequencies and the corresponding vibration modes.
Moreover, two approximate semianalytical methods are also illustrated, which can provide quick parametric relationships.
From a more practical point of view, the problem of detecting the mass of the attached particle has been solved by calculating the relative frequency shift due to the presence of the added mass: from it, the mass value can be easily deduced.
The paper ends with some numerical examples, in which the nonlocal effects are thoroughly investigated.
American Psychological Association (APA)
De Rosa, Maria Anna& Lippiello, Maria& Martin, H. D.. 2015. Free Vibrations of a Cantilevered SWCNT with Distributed Mass in the Presence of Nonlocal Effect. The Scientific World Journal،Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1079188
Modern Language Association (MLA)
De Rosa, Maria Anna…[et al.]. Free Vibrations of a Cantilevered SWCNT with Distributed Mass in the Presence of Nonlocal Effect. The Scientific World Journal No. 2015 (2015), pp.1-12.
https://search.emarefa.net/detail/BIM-1079188
American Medical Association (AMA)
De Rosa, Maria Anna& Lippiello, Maria& Martin, H. D.. Free Vibrations of a Cantilevered SWCNT with Distributed Mass in the Presence of Nonlocal Effect. The Scientific World Journal. 2015. Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1079188
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1079188