Coulomb friction effect on the forced vibration of damped mass–spring systems

This paper aims at assessing the effect of dry friction on dynamic behaviour a damped mechanical system subject to harmonic forcing. Previous work systems highlighted that not including other forms damping in analysis can lead unrealistic results such as presence infinite resonances. In this contribution, an exact solution is derived for continuous steady-state response multi-degree-of-freedom with contact between one masses and external wall, using Coulomb’s law model force modal account system’s damping. Closed-form expressions are also amplitude phase responses, while stick–slip responses investigated by ad-hoc numerical approach. addition, analytical used exploring features motion regimes response, leading following conclusions: (i) has limited low- high-frequency behaviours, invariant points inversions across transmissibility curves therefore be neglected, non-resonant conditions, structures where main source dissipation; (ii) when accounted models along Coulomb damping, finite resonant peaks obtained sliding regime their decreases linearly generated contact.