Periodic solutions for nonlinear oscillations of nanowires using variational iteration method

H. Askari; D. Zhang; E. Esmailzadeh

doi:10.1109/NANO.2013.6720963

Periodic solutions for nonlinear oscillations of nanowires using variational iteration method

H. Askari, D. Zhang, E. Esmailzadeh

Research output: Chapter in book / Conference proceeding › Conference article published in proceeding or book › Academic research › peer-review

8 Citations (Scopus)

Abstract

Nonlinear oscillation of nanowires, based on the Timoshenko beam theory, are investigated. The analytical solution of the nanowire structure using the Galerkin technique together with the variational iteration method is developed. A coupled nonlinear differential equation is obtained utilizing the Galerkin technique. Subsequently, the frequency-amplitude relationships are found for the nonlinear vibration of the nanowires using the variational iteration method. The main objective of this work is to obtain the frequency-amplitude relationships of the nanowires and also to investigate the effects of different parameters, such as the surface effect, transverse shear deformation and the aspect ratio, on their dynamic behaviors. Furthermore, the influence of varying amplitude on the nonlinear oscillations of the nanowires is analyzed.

Original language	English
Title of host publication	2013 13th IEEE International Conference on Nanotechnology, IEEE-NANO 2013
Pages	566-569
Number of pages	4
DOIs	https://doi.org/10.1109/NANO.2013.6720963
Publication status	Published - 2013
Externally published	Yes
Event	2013 13th IEEE International Conference on Nanotechnology, IEEE-NANO 2013 - Beijing, China Duration: 5 Aug 2013 → 8 Aug 2013

Publication series

Name	Proceedings of the IEEE Conference on Nanotechnology
ISSN (Print)	1944-9399
ISSN (Electronic)	1944-9380

Conference

Conference	2013 13th IEEE International Conference on Nanotechnology, IEEE-NANO 2013
Country/Territory	China
City	Beijing
Period	5/08/13 → 8/08/13

ASJC Scopus subject areas

Bioengineering
Electrical and Electronic Engineering
Materials Chemistry
Condensed Matter Physics

More information

10.1109/NANO.2013.6720963

Cite this

@inproceedings{73365df17e3840128baabab1b731f116,

title = "Periodic solutions for nonlinear oscillations of nanowires using variational iteration method",

abstract = "Nonlinear oscillation of nanowires, based on the Timoshenko beam theory, are investigated. The analytical solution of the nanowire structure using the Galerkin technique together with the variational iteration method is developed. A coupled nonlinear differential equation is obtained utilizing the Galerkin technique. Subsequently, the frequency-amplitude relationships are found for the nonlinear vibration of the nanowires using the variational iteration method. The main objective of this work is to obtain the frequency-amplitude relationships of the nanowires and also to investigate the effects of different parameters, such as the surface effect, transverse shear deformation and the aspect ratio, on their dynamic behaviors. Furthermore, the influence of varying amplitude on the nonlinear oscillations of the nanowires is analyzed.",

author = "H. Askari and D. Zhang and E. Esmailzadeh",

year = "2013",

doi = "10.1109/NANO.2013.6720963",

language = "English",

isbn = "9781479906758",

series = "Proceedings of the IEEE Conference on Nanotechnology",

pages = "566--569",

booktitle = "2013 13th IEEE International Conference on Nanotechnology, IEEE-NANO 2013",

note = "2013 13th IEEE International Conference on Nanotechnology, IEEE-NANO 2013 ; Conference date: 05-08-2013 Through 08-08-2013",

}

Askari, H, Zhang, D & Esmailzadeh, E 2013, Periodic solutions for nonlinear oscillations of nanowires using variational iteration method. in 2013 13th IEEE International Conference on Nanotechnology, IEEE-NANO 2013., 6720963, Proceedings of the IEEE Conference on Nanotechnology, pp. 566-569, 2013 13th IEEE International Conference on Nanotechnology, IEEE-NANO 2013, Beijing, China, 5/08/13. https://doi.org/10.1109/NANO.2013.6720963

Periodic solutions for nonlinear oscillations of nanowires using variational iteration method. / Askari, H.; Zhang, D.; Esmailzadeh, E.
2013 13th IEEE International Conference on Nanotechnology, IEEE-NANO 2013. 2013. p. 566-569 6720963 (Proceedings of the IEEE Conference on Nanotechnology).

Research output: Chapter in book / Conference proceeding › Conference article published in proceeding or book › Academic research › peer-review

TY - GEN

T1 - Periodic solutions for nonlinear oscillations of nanowires using variational iteration method

AU - Askari, H.

AU - Zhang, D.

AU - Esmailzadeh, E.

PY - 2013

Y1 - 2013

N2 - Nonlinear oscillation of nanowires, based on the Timoshenko beam theory, are investigated. The analytical solution of the nanowire structure using the Galerkin technique together with the variational iteration method is developed. A coupled nonlinear differential equation is obtained utilizing the Galerkin technique. Subsequently, the frequency-amplitude relationships are found for the nonlinear vibration of the nanowires using the variational iteration method. The main objective of this work is to obtain the frequency-amplitude relationships of the nanowires and also to investigate the effects of different parameters, such as the surface effect, transverse shear deformation and the aspect ratio, on their dynamic behaviors. Furthermore, the influence of varying amplitude on the nonlinear oscillations of the nanowires is analyzed.

AB - Nonlinear oscillation of nanowires, based on the Timoshenko beam theory, are investigated. The analytical solution of the nanowire structure using the Galerkin technique together with the variational iteration method is developed. A coupled nonlinear differential equation is obtained utilizing the Galerkin technique. Subsequently, the frequency-amplitude relationships are found for the nonlinear vibration of the nanowires using the variational iteration method. The main objective of this work is to obtain the frequency-amplitude relationships of the nanowires and also to investigate the effects of different parameters, such as the surface effect, transverse shear deformation and the aspect ratio, on their dynamic behaviors. Furthermore, the influence of varying amplitude on the nonlinear oscillations of the nanowires is analyzed.

UR - http://www.scopus.com/inward/record.url?scp=84894191865&partnerID=8YFLogxK

U2 - 10.1109/NANO.2013.6720963

DO - 10.1109/NANO.2013.6720963

M3 - Conference article published in proceeding or book

AN - SCOPUS:84894191865

SN - 9781479906758

T3 - Proceedings of the IEEE Conference on Nanotechnology

SP - 566

EP - 569

BT - 2013 13th IEEE International Conference on Nanotechnology, IEEE-NANO 2013

T2 - 2013 13th IEEE International Conference on Nanotechnology, IEEE-NANO 2013

Y2 - 5 August 2013 through 8 August 2013

ER -

Periodic solutions for nonlinear oscillations of nanowires using variational iteration method

Abstract

Publication series

Conference

ASJC Scopus subject areas

More information

Other files and links

Fingerprint

Cite this