DYNAMICAL INTERACTION OF AN ELASTIC SYSTEM AND A VIBRO-IMPACT ABSORBER

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 elas-tic 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 appro-priate for the elastic vibration absorption, exists in a large region of the system param-eters. In this regime, amplitudes of vibrations of the linear system are small, simultane-ously vibrations of the absorber are significant. Copyright © 2006 Y. V. Mikhlin and S. N. Reshetnikova. This is an open access article dis-tributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is prop-erly cited. 1