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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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https://hal-amu.archives-ouvertes.fr/hal-01432172
Contributor : Maxime Nicolas <>
Submitted on : Wednesday, January 11, 2017 - 3:46:55 PM
Last modification on : Thursday, January 18, 2018 - 1:26:50 AM
Long-term archiving on: : Friday, April 14, 2017 - 3:15:31 PM

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

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