Multi-degree-of-freedom systems with a Coulomb friction contact: analytical boundaries of motion regimes

Abstract This paper proposes an approach for the determination of analytical boundaries continuous, stick-slip and no motion regimes steady-state response a multi-degree-of-freedom (MDOF) system with single Coulomb contact to harmonic excitation. While these have been previously investigated single-degree-of-freedom (SDOF) systems, they are mostly unexplored MDOF systems. Closed-form expressions derived validated numerically two-degree-of-freedom (2DOF) Different configurations observed by changing mass in connecting rubbing wall to: (i) ground, (ii) base or (iii) other mass. A procedure extending results systems more than 2DOFs is also proposed (i)–(ii) case 5DOF ground-fixed contact. The boundary between continuous obtained as extension Den Hartog’s formulation SDOF damping (Trans Am Soc Mech Eng 53: 107–115, 1931). ad hoc procedure, based on comparison overall dynamic load friction force acting finally represented two-dimensional parameter space, showing that shape regions associated three can change significantly when different physical parameters considered.