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

• Main Authors: Yuri V. Mikhlin, S. N. Reshetnikova
• Format: Article
• Language: English
• Published: Hindawi Limited 2006-01-01
• Series: Mathematical Problems in Engineering
• Online Access: http://dx.doi.org/10.1155/MPE/2006/37980

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.