Steady-state stick-slip dynamics of a single horizontally vibrated particle

Authors

Marissa G. Pastor National Institute of Physics, University of the Philippines Diliman
Johnrob Y. Bantang National Institute of Physics, University of the Philippines Diliman
Caesar A. Saloma National Institute of Physics, University of the Philippines Diliman

Abstract

We model the dynamics of a block of mass m placed on top of a platform. The platform is driven by a sinusoidal 1-D horizontal vibration. The system is then characterized by the kinetic (µ_K) and static (µ_S) coefficients of friction of the block with respect to the platform and the platform vibration frequency, ω. It is found that there are three possible final steady-states of the system affected by the above parameters: (1) slipping, (2) sticking, and (3) periodic stick-slip. The times spent by the mass slipping and sticking were computed and are used to show the existence of the three states (including a non-periodic stick-slip steady-state when µ_K= 1.0, µ_S = 0.1, and ω = 1.0). An equation showing the dependence of a limit on µ_K to both µ_S and ω was derived and utilized to predict the maximum µ_K for a periodic steady-state.

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Issue

2005: Proceedings of the 23rd Samahang Pisika ng Pilipinas Physics Congress

Article ID

SPP-2005-2C-02

Section

Complex Systems

Published

2005-10-26

How to Cite

[1]

MG Pastor, JY Bantang, and CA Saloma, Steady-state stick-slip dynamics of a single horizontally vibrated particle, Proceedings of the Samahang Pisika ng Pilipinas 23, SPP-2005-2C-02 (2005). URL: https://proceedings.spp-online.org/article/view/SPP-2005-2C-02.