Nonlocal frequency analysis of a nanobeam under axial magnetic field using finite element method
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2015
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Prikaz svih podataka o dokumentuApstrakt
In this paper, we analyze the free transverse vibration of a nanobeam model representing the carbon nanotube that is subjected to the influence of longitudinal magnetic field. Governing equation of a nanobeam is derived employing the nonlocal elasticity theory of Eringen, Euler-Bernoulli beam theory and Maxwell classical equations. Solution for natural frequencies of a nanobeam is proposed by using the finite element method. Influences of nonlocal parameter and the magnitude of magnetic field on dimensionless natural frequencies are investigated through several numerical examples.
Ključne reči:
Nonlocal elasticity / Vibration of Nanobeams / Magnetic Field / Finite Element MethodIzvor:
Proceedings of 8th GRACM International Congress on Computational Mechanics,Volos,Greece,12 July – 15 July 2015, University of Thessaly Press 2015, 2015, 1-7Izdavač:
- University of Thessaly Press
Finansiranje / projekti:
- Održivost i unapređenje mašinskih sistema u energetici i transportu primenom forenzičkog inženjerstva, eko i robust dizajna (RS-MESTD-Technological Development (TD or TR)-35006)
- Dinamika hibridnih sistema složenih struktura. Mehanika materijala (RS-MESTD-Basic Research (BR or ON)-174001)
- Dinamička stabilnost i nestabilnost mehaničkih sistema pod dejstvom stohastičkih poremećaja (RS-MESTD-Basic Research (BR or ON)-174011)
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Institucija/grupa
Mašinski fakultetTY - CONF AU - Cajić, Milan AU - Karličić, Danilo AU - Lazarević, Mihailo PY - 2015 UR - https://machinery.mas.bg.ac.rs/handle/123456789/6453 AB - In this paper, we analyze the free transverse vibration of a nanobeam model representing the carbon nanotube that is subjected to the influence of longitudinal magnetic field. Governing equation of a nanobeam is derived employing the nonlocal elasticity theory of Eringen, Euler-Bernoulli beam theory and Maxwell classical equations. Solution for natural frequencies of a nanobeam is proposed by using the finite element method. Influences of nonlocal parameter and the magnitude of magnetic field on dimensionless natural frequencies are investigated through several numerical examples. PB - University of Thessaly Press C3 - Proceedings of 8th GRACM International Congress on Computational Mechanics,Volos,Greece,12 July – 15 July 2015, University of Thessaly Press 2015 T1 - Nonlocal frequency analysis of a nanobeam under axial magnetic field using finite element method EP - 7 SP - 1 UR - https://hdl.handle.net/21.15107/rcub_machinery_6453 ER -
@conference{ author = "Cajić, Milan and Karličić, Danilo and Lazarević, Mihailo", year = "2015", abstract = "In this paper, we analyze the free transverse vibration of a nanobeam model representing the carbon nanotube that is subjected to the influence of longitudinal magnetic field. Governing equation of a nanobeam is derived employing the nonlocal elasticity theory of Eringen, Euler-Bernoulli beam theory and Maxwell classical equations. Solution for natural frequencies of a nanobeam is proposed by using the finite element method. Influences of nonlocal parameter and the magnitude of magnetic field on dimensionless natural frequencies are investigated through several numerical examples.", publisher = "University of Thessaly Press", journal = "Proceedings of 8th GRACM International Congress on Computational Mechanics,Volos,Greece,12 July – 15 July 2015, University of Thessaly Press 2015", title = "Nonlocal frequency analysis of a nanobeam under axial magnetic field using finite element method", pages = "7-1", url = "https://hdl.handle.net/21.15107/rcub_machinery_6453" }
Cajić, M., Karličić, D.,& Lazarević, M.. (2015). Nonlocal frequency analysis of a nanobeam under axial magnetic field using finite element method. in Proceedings of 8th GRACM International Congress on Computational Mechanics,Volos,Greece,12 July – 15 July 2015, University of Thessaly Press 2015 University of Thessaly Press., 1-7. https://hdl.handle.net/21.15107/rcub_machinery_6453
Cajić M, Karličić D, Lazarević M. Nonlocal frequency analysis of a nanobeam under axial magnetic field using finite element method. in Proceedings of 8th GRACM International Congress on Computational Mechanics,Volos,Greece,12 July – 15 July 2015, University of Thessaly Press 2015. 2015;:1-7. https://hdl.handle.net/21.15107/rcub_machinery_6453 .
Cajić, Milan, Karličić, Danilo, Lazarević, Mihailo, "Nonlocal frequency analysis of a nanobeam under axial magnetic field using finite element method" in Proceedings of 8th GRACM International Congress on Computational Mechanics,Volos,Greece,12 July – 15 July 2015, University of Thessaly Press 2015 (2015):1-7, https://hdl.handle.net/21.15107/rcub_machinery_6453 .