Friction damping is one of the most effective methods to decrease the effects of resonances phenomena, on an extensive range of frequencies. As a matter of fact, unlike piezoelectric damping and visco-elastic solutions, the friction damping treated in this work has not sharp discontinuities on its effectiveness varying temperature. The goal of the research community is to develop a predictive model capable of describing how friction affects the damping proprieties of the joint. This work aims to focus on one limited set of cases, in particular a kind of bolted joints connection similar to the one proposed by Butaud (2017) and Teloli (2022).