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

Authors

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