Nonlinear landslide dynamics
Abstract: In present paper we analyze two different mechanical models of landslide dynamics. The first model actually represents a deterministic model of infinite slope evolution, whose rich dynarmcs is observed for different friction properties of the sliding surface, illustrated by the state parameter F, and under the effect of the introduced time delay t m time-dependent shear stress. Results of the analysis performed indicate that solely the increase of time delay could further invoke the occurrence of complex dynamical behavior: quasiperiodic oscillations and determlmstic chaos. Besides the evident effect of the assumed delayed shear stress, there is also a record of significant effect of friction parameter [3 and the higher level of amplitude of mitial stress perturbation due to the possible external seismic effect. In particular, the increase of parameter 13,i .e. the reduction of friction force in steady state (minor direct velocity effect) and weak evolutionary velocity effect drives the system to less complex dynamical regimes regardless of the level of the assumed time delay. The second model represents a model of a block sliding down the slope, under the stochastic effect of groundwater level oscillations. Developed Inodel indicates that displacements along the slope are observed simultaneously with the change of groundwater level.
engleski
2021
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landslide, nonlinear dynamics, time delay, noise, friction