Abstract

In this paper, the free vibration response of a linear one degree of freedom system equipped with a friction vibration absorber is analyzed. The friction between the two systems is modeled using Coulomb friction law. The effect of the friction parameters on the stability of the linear one degree of freedom system is studied. First, around the equilibrium point, the local stability is analyzed using the Routh-Hurwitz criterion: the discontinuous non-smooth description of the friction force is approximated by a tangent hyperbolic continuous smooth function. Second, the global stability is analyzed using the Lyapunov direct method. The effect of negative viscous damping and the limit cycle behavior are considered

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