The self-excited vibrations induced by dry-friction which are accompanied with stick-slip motions exist broadly in engineering fields. So it is important, both in theory and in practice, to study the dynamics of the systems with dry-friction. Otherwise, it is very difficult to study analytically this kind of complex, non-smooth nonlinear dynamical systems. So the investigations of this kind of systems are mainly based on the numerical analysis and experiment research. In recent years, a new analytic...