Приказ основних података о документу
First passage of stochastic fractional derivative systems with power-form restoring force
dc.creator | Li, Wei | |
dc.creator | Chen, Lincong | |
dc.creator | Trišović, Nataša | |
dc.creator | Cvetković, Aleksandar | |
dc.creator | Zhao, Junfeng | |
dc.date.accessioned | 2022-09-19T17:45:06Z | |
dc.date.available | 2022-09-19T17:45:06Z | |
dc.date.issued | 2015 | |
dc.identifier.issn | 0020-7462 | |
dc.identifier.uri | https://machinery.mas.bg.ac.rs/handle/123456789/2197 | |
dc.description.abstract | In this paper, the first-passage failure of stochastic dynamical systems with fractional derivative and power-form restoring force subjected to Gaussian white-noise excitation is investigated. With application of the stochastic averaging method of quasi-Hamiltonian system, the system energy process will converge wealdy to an Ito differential equation. After that, Backward Kolmogorov (BK) equation associated with conditional reliability function and Generalized Pontryagin (GP) equation associated with statistical moments of first-passage time are constructed and solved. Particularly, the influence on reliability caused by the order of fractional derivative and the power of restoring force are also examined, respectively. Numerical results show that reliability function is decreased with respect to the time. Lower power of restoring force may lead the system to more unstable evolution and lead first passage easy to happen. Besides, more viscous material described by fractional derivative may have higher reliability. Moreover, the analytical results are all in good agreement with Monte-Carlo data. | en |
dc.publisher | Pergamon-Elsevier Science Ltd, Oxford | |
dc.relation | National Natural Science Foundation of China [11302157, 11202155] | |
dc.relation | National Natural Science Foundation of Fujian Province [2014J01014] | |
dc.relation | Fundamental Research Funds for the Central Universities [K5051370008] | |
dc.relation | Chinese-Serbian Science and Technology Cooperation [2-14] | |
dc.relation | Program for New Century Excellent Talents in University [NCET-10-0665] | |
dc.relation.isversionof | https://machinery.mas.bg.ac.rs/handle/123456789/3932 | |
dc.rights | restrictedAccess | |
dc.source | International Journal of Non-Linear Mechanics | |
dc.subject | Stochastic averaging method | en |
dc.subject | Power-form restoring force | en |
dc.subject | Fractional derivative | en |
dc.subject | First-passage failure | en |
dc.title | First passage of stochastic fractional derivative systems with power-form restoring force | en |
dc.type | article | |
dc.rights.license | ARR | |
dc.citation.epage | 88 | |
dc.citation.other | 71: 83-88 | |
dc.citation.rank | M21 | |
dc.citation.spage | 83 | |
dc.citation.volume | 71 | |
dc.description.other | Peer reviewed version of the paper: [https://machinery.mas.bg.ac.rs/handle/123456789/3932] | |
dc.identifier.doi | 10.1016/j.ijnonlinmec.2015.02.002 | |
dc.identifier.scopus | 2-s2.0-84925855755 | |
dc.identifier.wos | 000351962000010 | |
dc.type.version | publishedVersion |
Документи
Датотеке | Величина | Формат | Преглед |
---|---|---|---|
Уз овај запис нема датотека. |