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Prvi prolaz stohastičkog dinamičkog sistema sa frakcionim izvodom i stepenom silom elastičnosti pod Gausovom pobudom
First passage of stochastically dynamical system with fractional derivative and power-form restoring force under Gaussian excitation
dc.creator | Wei, Li | |
dc.creator | Trišović, Nataša | |
dc.creator | Cvetković, Aleksandar | |
dc.date.accessioned | 2022-09-19T17:35:17Z | |
dc.date.available | 2022-09-19T17:35:17Z | |
dc.date.issued | 2014 | |
dc.identifier.issn | 1451-2092 | |
dc.identifier.uri | https://machinery.mas.bg.ac.rs/handle/123456789/2051 | |
dc.description.abstract | U ovom radu se razmatra Problem prvog prolaza u dinamičkom sistemu sa stepenom silom elastičnosti i frakcionim izvodom. Najpre je originalni sistem transformisan u difuzionu diferencijalnu jednačinu pomoću generalisane Van der Polove transformacije i metode stohastičkog proseka. Nakon toga zahvaljujući definiciji prvog prolaza BK jednačina i GP jednačina su postavljene i rešene. Numerički rezultati nam govore da pouzdanost verovatnoće monotono opada sa vremenom. Viši redovi frakcionog izvoda mogu da dovedu do veće pouzdanosti sistema . Granične vrednosti sigurne oblasti mogu da utiču na pouzdanost sistema. | sr |
dc.description.abstract | First passage problem in a dynamical system with power-form restoring force and fractional derivative is studied in this paper. At first, the original system is transformed into an diffusion differential equation by way of generalized Van der Pol transformation and stochastic averaging method. After that , according to the definition of first passage, BK equation and GP equation are constructed and solved. The numerical results tell us that the reliability probabilities are decreased monotonously with respect to time. Higher order of fractional derivative can lead to higher reliability of the system. Boundary value of safe domain can affect the reliability probability greatly. The larger it is, the higher probability value is. | en |
dc.publisher | Univerzitet u Beogradu - Mašinski fakultet, Beograd | |
dc.relation | info:eu-repo/grantAgreement/MESTD/Technological Development (TD or TR)/35011/RS// | |
dc.relation | National Natural Science Foundation of China, br. 11302157 i br. 11202155, 'The Fundamental Research Funds for the Central Universities', br. K5051370008 | |
dc.rights | openAccess | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.source | FME Transactions | |
dc.subject | Restoring force | en |
dc.subject | reliability | en |
dc.subject | Gaussian excitation | en |
dc.subject | Fractional derivative | en |
dc.subject | Dynamical system | en |
dc.title | Prvi prolaz stohastičkog dinamičkog sistema sa frakcionim izvodom i stepenom silom elastičnosti pod Gausovom pobudom | sr |
dc.title | First passage of stochastically dynamical system with fractional derivative and power-form restoring force under Gaussian excitation | en |
dc.type | article | |
dc.rights.license | BY | |
dc.citation.epage | 280 | |
dc.citation.issue | 4 | |
dc.citation.other | 42(4): 277-280 | |
dc.citation.rank | M24 | |
dc.citation.spage | 277 | |
dc.citation.volume | 42 | |
dc.identifier.doi | 10.5937/fmet1404277L | |
dc.identifier.fulltext | http://machinery.mas.bg.ac.rs/bitstream/id/837/2048.pdf | |
dc.identifier.scopus | 2-s2.0-84921875072 | |
dc.type.version | publishedVersion |