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Mathematical Problems in Engineering
Volume 2006, Article ID 37980, 15 pages

Dynamical interaction of an elastic system and a vibro-impact absorber

National Technical University, “Kharkov Polytechnical Institute”, Kharkov 61002, Ukraine

Received 15 December 2004; Revised 9 August 2005; Accepted 22 August 2005

Copyright © 2006 Yuri V. Mikhlin and S. N. Reshetnikova. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.