%0 Journal Article %T Dynamical interaction of an elastic system and a vibro-impact absorber %A Yuri V. Mikhlin %A S. N. Reshetnikova %J Mathematical Problems in Engineering %D 2006 %I Hindawi Publishing Corporation %R 10.1155/mpe/2006/37980 %X The nonlinear two-degree-of-freedom system under consideration consists of the linear oscillator with a relatively big mass, which is an approximation of some continuous elastic system, and of the vibro-impact oscillator with a relatively small mass, which is an absorber of the linear system vibrations. Analysis of nonlinear normal vibration modes shows that a stable localized vibration mode, which provides the vibration regime appropriate for the elastic vibration absorption, exists in a large region of the system parameters. In this regime, amplitudes of vibrations of the linear system are small, simultaneously vibrations of the absorber are significant. %U http://www.hindawi.com/journals/mpe/2006/037980/abs/