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dc.creatorKostić, Srdan
dc.creatorVasović, Nebojša
dc.creatorFranović, Igor
dc.creatorJevremović, Dragutin
dc.creatorMitrinović, David
dc.creatorTodorović, Kristina
dc.date.accessioned2019-09-02T11:40:26Z
dc.date.available2019-09-02T11:40:26Z
dc.date.issued2014
dc.identifier.issn1007-5704
dc.identifier.urihttp://farfar.pharmacy.bg.ac.rs/handle/123456789/2155
dc.description.abstractIn present paper, we analyze the dynamics of a single-block model on an inclined slope with Dieterich-Ruina friction law under the variation of two new introduced parameters: time delay T-d and initial shear stress mu. It is assumed that this phenomenological model qualitatively simulates the motion along the infinite creeping slope. The introduction of time delay is proposed to mimic the memory effect of the sliding surface and it is generally considered as a function of history of sliding. On the other hand, periodic perturbation of initial shear stress emulates external triggering effect of long-distant earthquakes or some non-natural vibration source. The effects of variation of a single observed parameter, T-d or mu, as well as their co-action, are estimated for three different sliding regimes: beta lt 1, beta = 1 and beta > 1, where beta stands for the ratio of long-term to short-term stress changes. The results of standard local bifurcation analysis indicate the onset of complex dynamics for very low values of time delay. On the other side, numerical approach confirms an additional complexity that was not observed by local analysis, due to the possible effect of global bifurcations. The most complex dynamics is detected for beta lt 1, with a complete Ruelle-Takens-Newhouse route to chaos under the variation of T-d, or the co-action of both parameters T-d and mu. These results correspond well with the previous experimental observations on clay and siltstone with low clay fraction. In the same regime, the perturbation of only a single parameter, mu, renders the oscillatory motion of the block. Within the velocity-independent regime, beta = 1, the inclusion and variation of T-d generates a transition to equilibrium state, whereas the small oscillations of mu induce oscillatory motion with decreasing amplitude. The co-action of both parameters, in the same regime, causes the decrease of block's velocity. As for beta > 1, highly-frequent, limit-amplitude oscillations of initial stress give rise to oscillatory motion. Also for beta > 1, in case of perturbing only the initial shear stress, with smaller amplitude, velocity of the block changes exponentially fast. If the time delay is introduced, besides the stress perturbation, within the same regime, the co-action of T-d (T-d lt 0.1) and small oscillations of mu induce the onset of deterministic chaos.en
dc.publisherElsevier Science BV, Amsterdam
dc.relationinfo:eu-repo/grantAgreement/MESTD/Basic Research (BR or ON)/176016/RS//
dc.rightsrestrictedAccess
dc.sourceCommunications in Nonlinear Science and Numerical Simulation
dc.subjectLandslidesen
dc.subjectTime delayen
dc.subjectStress perturbationen
dc.subjectRate-and state-dependent friction lawen
dc.titleDynamics of landslide model with time delay and periodic parameter perturbationsen
dc.typearticle
dc.rights.licenseARR
dcterms.abstractВасовић, Небојша; Јевремовић, Драгутин; Франовић, Игор; Костић, Срдан; Тодоровић, Кристина; Митриновић, Давид;
dc.citation.volume19
dc.citation.issue9
dc.citation.spage3346
dc.citation.epage3361
dc.citation.other19(9): 3346-3361
dc.citation.rankaM21
dc.identifier.wos000333450200038
dc.identifier.doi10.1016/j.cnsns.2014.02.012
dc.identifier.scopus2-s2.0-84897106072
dc.identifier.rcubconv_3043
dc.type.versionpublishedVersion


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