A comprehensive study on the behavior of a rigid block on an oscillating ground with friction, elastic and viscous forces - Aix-Marseille Université Access content directly
Preprints, Working Papers, ... Year : 2017

A comprehensive study on the behavior of a rigid block on an oscillating ground with friction, elastic and viscous forces

Abstract

This paper investigates the behavior of a non-linear mechanical model where a block is driven by an oscillating ground through Coulomb friction, a linear viscous damper and a linear spring. The governing equation is solved analytically for different partial configurations: friction only, friction with viscous damping, friction with a linear restoring force, and for the complete model. Using dimensionless groups, the analysis of the block motion provides a comprehensive set of information on the motion regime (stick, stick-slip or permanent sliding), on the dominant energies or forces, on the resonance and on the amplification of the ground oscillation by the system. The limit between the stick-slip regime and the permanent slipping regime is found either analytically or numerically. It is also shown that there exists a set of parameters for which the friction force, the viscous dissipative force and the elastic restoring force are equal.
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Dates and versions

hal-01432172 , version 1 (11-01-2017)

Identifiers

  • HAL Id : hal-01432172 , version 1

Cite

Maxime Nicolas. A comprehensive study on the behavior of a rigid block on an oscillating ground with friction, elastic and viscous forces. 2017. ⟨hal-01432172v1⟩
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