dc.creator | Cajić, Milan | |
dc.creator | Karličić, Danilo | |
dc.creator | Lazarević, Mihailo | |
dc.date.accessioned | 2023-02-09T13:23:53Z | |
dc.date.available | 2023-02-09T13:23:53Z | |
dc.date.issued | 2015 | |
dc.identifier.isbn | 978-86-7892-715-7 | |
dc.identifier.uri | https://machinery.mas.bg.ac.rs/handle/123456789/4248 | |
dc.description.abstract | We propose a mathematical framework to examine the free damped transverse vibration of
nanobeams with attached nanoparticles by using the nonlocal theory of Eringen and fractional
calculus. Governing equation of nanobeam with arbitrary attached nanoparticle is derived by
considering the viscoelastic constitutive equation involving fractional order derivative and
nonlocal Euler-Bernoulli beam theory. The solution is proposed by using the method of
separation of variables. Eigenvalues and mode shapes are determined for two typical boundary
conditions. The solution of fractional order differential equation in terms of a time function is
found via Laplace transform method. The time dependent behavior is examined by observing the
time function for different values of fractional order parameter and different ratios of other
parameters in the model. | sr |
dc.language.iso | en | sr |
dc.publisher | Belgrade: Serbian Society of Mechanics | sr |
dc.publisher | Novi Sad: Faculty of Technical Sciences | sr |
dc.relation | info:eu-repo/grantAgreement/MESTD/Technological Development (TD or TR)/35006/RS// | sr |
dc.relation | info:eu-repo/grantAgreement/MESTD/Basic Research (BR or ON)/174001/RS// | sr |
dc.relation | info:eu-repo/grantAgreement/MESTD/Basic Research (BR or ON)/174011/RS// | sr |
dc.rights | restrictedAccess | sr |
dc.source | Proceedings of the 5th International Congress of Serbian Society of Mechanics, Arandjelovac, June 15-17, 2015, I1c | sr |
dc.subject | nanobeam | sr |
dc.subject | nonlocal viscoelasticity | sr |
dc.subject | fractional derivative viscoelasticity | sr |
dc.subject | nanotube mass sensors | sr |
dc.title | Nonlocal vibration of fractional order viscoelastic nanobeam with attached nanoparticle | sr |
dc.type | conferenceObject | sr |
dc.rights.license | ARR | sr |
dc.citation.epage | 10 | |
dc.citation.rank | M33 | |
dc.citation.spage | 1 | |
dc.identifier.rcub | https://hdl.handle.net/21.15107/rcub_machinery_4248 | |
dc.type.version | publishedVersion | sr |