Mathematical Institute SANU info:eu-repo/semantics/conferenceProceedings 2022 eng 1st International Conference on Mathematical Modelling in Mechanics and Engineering, 08.-10.09.2022., Belgrade, Booklet of Abstracts application/pdf 331054 bytes https://unilib.phaidrabg.rs/o:1628 Abstract: In present paper we analyze dynamics of a mechanical model of accumulation landslide, initially proposed by Davis [1] using standard bifurcation analysis: FORMULE where W - block weight; g - acceleration of gravity; S - sliding resistance on failure surface,; F - combined elastic and viscous forces; k - spring constant; c - dash pot constant; and βi = slope angle. In our analysis, starting model (1) is expanded by introducing the effect of time delay between the motion of accumulation and feeder slope, and the heterogeneous friction conditions along the potential sliding surface (Coulomb-like and cubic friction force): Delay differential equations governing dynamics of a landslide FORMULE and α and ε are friction parameters (Coulomb like friction force), a, b and c are friction parameters (cubic friction force). Results obtained indicate the occurence of irregular aperiodic behavior with the increased values of parameter a and time delay τ, providing the conditions for which the slope instability is triggered. Further increase of parameter a leads to stabilization of sliding, while the increase of parametrs b and c leads to occurrence of periodic oscillatory regime. Similar effect is observed for the action of parameters ε and α. Kostić, Srđan Vasović, Nebojša time delay, friction, landslide All rights reserved Delay differential equations governing dynamics of a landslide mechanical model