A study of friction vibration absorber: impact of friction modeling on the efficacy of the absorber and friction coefficient optimization

In this paper, a one degree of freedom system connected to a friction vibration absorber is considered. Friction vibration absorber reduces mechanical vibrations using the dissipation of the energy through friction between both bodies. However, the contact between both bodies and the optimal parameters design deserve to be examined closely. In this paper, the effect of friction modeling is first investigated. Two friction modelings are considered: macroscopic (Coulomb) and microscopic (Dahl and LuGre), according to physical and tribological behaviors. For each model, the responses are determined in sticking and sliding regimes of motion and a comparison is made to conclude on the efficacy of the friction absorber. Second, the optimization of friction coefficient is established using two approaches: Den Hartog optimal parameters and the minimization of the frequency displacement of the main mass.