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

Maxime Nicolas (1)

1 IUSTI - Institut universitaire des systèmes thermiques industriels

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.

Mots clés: friction; oscillator; seismic response

Domaines: Vibrations [physics.class-ph]

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⟩