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Dynamical interaction of an elastic system and a vibro-impact absorber. (English) Zbl 1100.74029

Summary: The nonlinear two-degree-of-freedom system under consideration consists of linear oscillator with a relatively large mass, which is an approximation of some continuous elastic system, and of a vibro-impact oscillator with a relatively small mass, which is an absorber of linear 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 system parameters. In this regime, amplitudes of vibrations of the linear system are small, whereas the vibrations of the absorber are significant.

MSC:

74H45 Vibrations in dynamical problems in solid mechanics
70K99 Nonlinear dynamics in mechanics
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References:

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