Variational Principles for Multiwalled Carbon Nanotubes Undergoing Vibrations Based on Nonlocal Timoshenko Beam Theory
Joint Authors
Kucuk, Ismail
Adali, Sarp
Sadek, Ibrahim S.
Source
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-03-31
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Engineering Sciences and Information Technology
Chemistry
Civil Engineering
Abstract EN
Variational principles are derived for multiwalled carbon nanotubes undergoing linear vibrations using the semi-inverse method with the governing equations based on nonlocal Timoshenko beam theory which takes small scale effects and shear deformation into account.
Physical models based on the nonlocal theory approximate the nanoscale phenomenon more accurately than the local theories by taking small scale phenomenon into account.
Variational formulation is used to derive the natural and geometric boundary conditions which give a set of coupled boundary conditions in the case of free boundaries which become uncoupled in the case of the local theory.
Hamilton's principle applicable to this case is also given.
American Psychological Association (APA)
Kucuk, Ismail& Sadek, Ibrahim S.& Adali, Sarp. 2010. Variational Principles for Multiwalled Carbon Nanotubes Undergoing Vibrations Based on Nonlocal Timoshenko Beam Theory. Journal of Nanomaterials،Vol. 2010, no. 2010, pp.1-7.
https://search.emarefa.net/detail/BIM-473371
Modern Language Association (MLA)
Kucuk, Ismail…[et al.]. Variational Principles for Multiwalled Carbon Nanotubes Undergoing Vibrations Based on Nonlocal Timoshenko Beam Theory. Journal of Nanomaterials No. 2010 (2010), pp.1-7.
https://search.emarefa.net/detail/BIM-473371
American Medical Association (AMA)
Kucuk, Ismail& Sadek, Ibrahim S.& Adali, Sarp. Variational Principles for Multiwalled Carbon Nanotubes Undergoing Vibrations Based on Nonlocal Timoshenko Beam Theory. Journal of Nanomaterials. 2010. Vol. 2010, no. 2010, pp.1-7.
https://search.emarefa.net/detail/BIM-473371
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-473371