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https://doi.org/10.31803/tg-20180214212115

The vibration of nanobeam resting on elastic foundation using modified couple stress theory

Necla Togun   ORCID icon orcid.org/0000-0001-7921-6290 ; Vocational School of Technical Sciences in Gaziantep, Gaziantep University, 27310, Gaziantep, Turkey
Süleyman M. Bağdatli   ORCID icon orcid.org/0000-0002-5152-9604 ; Faculty of Engineering, Department of Mechanical Engineering, Manisa Celal Bayar University, 45140, Yunusemre, Manisa, Turkey

Puni tekst: engleski, pdf (828 KB) str. 221-225 preuzimanja: 212* citiraj
APA 6th Edition
Togun, N. i Bağdatli, S.M. (2018). The vibration of nanobeam resting on elastic foundation using modified couple stress theory. Tehnički glasnik, 12 (4), 221-225. https://doi.org/10.31803/tg-20180214212115
MLA 8th Edition
Togun, Necla i Süleyman M. Bağdatli. "The vibration of nanobeam resting on elastic foundation using modified couple stress theory." Tehnički glasnik, vol. 12, br. 4, 2018, str. 221-225. https://doi.org/10.31803/tg-20180214212115. Citirano 18.11.2019.
Chicago 17th Edition
Togun, Necla i Süleyman M. Bağdatli. "The vibration of nanobeam resting on elastic foundation using modified couple stress theory." Tehnički glasnik 12, br. 4 (2018): 221-225. https://doi.org/10.31803/tg-20180214212115
Harvard
Togun, N., i Bağdatli, S.M. (2018). 'The vibration of nanobeam resting on elastic foundation using modified couple stress theory', Tehnički glasnik, 12(4), str. 221-225. https://doi.org/10.31803/tg-20180214212115
Vancouver
Togun N, Bağdatli SM. The vibration of nanobeam resting on elastic foundation using modified couple stress theory. Tehnički glasnik [Internet]. 2018 [pristupljeno 18.11.2019.];12(4):221-225. https://doi.org/10.31803/tg-20180214212115
IEEE
N. Togun i S.M. Bağdatli, "The vibration of nanobeam resting on elastic foundation using modified couple stress theory", Tehnički glasnik, vol.12, br. 4, str. 221-225, 2018. [Online]. https://doi.org/10.31803/tg-20180214212115

Sažetak
In this paper, the vibration of nanobeams resting on the Winkler foundation is proposed using the modified couple stress theory. Hamilton’s principle is utilized to construct the governing equations. The size effect of the nanobeam cannot be captured by using classical Euler-Bernoulli beam theory, but the modified couple stress theory model can capture it because it includes material length scale parameter that a newly developed model has. Once the material length scale parameter is assumed to be zero, the classical Euler-Bernoulli beam theory equation is obtained. Multiple scale method is employed to obtain the result. Simply supported boundary condition is used to study natural frequencies. The influence of material length scale parameter and the Winkler elastic foundation parameter on the fundamental frequencies of the nanobeam is investigated and tabulated. Also, in the present study, Poisson’s ratio is taken as constant. Nanobeam resting on the Winkler foundation which is simply supported is analyzed to illustrate the size effects on the free vibration. Numerical results for the simply supported nanobeam indicate that the first fundamental frequency calculated by the presented model is higher than the classical one. Moreover, it is obtained that the size influence is more substantial for higher vibration modes. The results indicate that the significant importance of the size influences the analysis of nanobeams. The vibration of nanobeam exhibits a hardening spring behavior, and the newly developed models are the beams stiffer than according to the classical beam theory. Modified couple stress theory tends to be more helpful in describing the size-dependent mechanical properties of nanoelectromechanical systems (NEMS).

Ključne riječi
nanobeam; modified couple-stress theory; perturbation methods; Winkler foundation

Hrčak ID: 210867

URI
https://hrcak.srce.hr/210867

Posjeta: 359 *