Slip of a Two-degree-of-freedom Spring-slider Model in the Presence of Slip-dependent Friction and Viscosity

Jeen-Hwa Wang


In this study, we study the slip of a two-degree-of-freedom spring-slider model, consisting of two sliders, in the presence of slip-dependent friction and viscosity. Simulation results show that the coupling between the sliders is weak when the stiffness ratio, s, of the model is smaller than 5 and/or either Uc1 or Uc2, which are the characteristic displacements of slip-dependent friction law at the two sliders, is smaller than 0.5. The patterns of motions of two sliders yielded by large Uc1 and small Uc2 are opposite to those by small Uc1 and large Uc2. The ratio of static friction force at slider 2 to that at slider 1 is a factor in influencing the motions of two sliders. A higher static friction force at slider 2 leads to a longer delay time to trigger its motion. Slider 2 cannot move when the static friction force at it is higher than a critical value which will depend on other model parameters. The presence of viscosity between the slider and moving plate results in increases in duration times and predominant periods of motions of sliders and depresses the generation of nonlinear behavior. Viscosity results in small amplitudes and low velocities of motions of sliders.


two-degree-of-freedom spring-slider model, slip-dependent friction, viscosity, stiffness ratio, phase portrait

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Published by INGV, Istituto Nazionale di Geofisica e Vulcanologia - ISSN: 2037-416X