https://hal-amu.archives-ouvertes.fr/hal-01432172Nicolas, MaximeMaximeNicolasIUSTI - Institut universitaire des systÃ¨mes thermiques industriels - AMU - Aix Marseille UniversitÃ© - CNRS - Centre National de la Recherche ScientifiqueA comprehensive study on the behavior of a rigid block on an oscillating ground with friction, elastic and viscous forcesHAL CCSD2017frictionoscillatorseismic response[PHYS.MECA.VIBR] Physics [physics]/Mechanics [physics]/Vibrations [physics.class-ph]NICOLAS, Maxime2017-01-11 15:46:552021-11-03 06:46:462017-01-13 16:23:03enPreprints, Working Papers, ...application/pdf1This 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.