The nonlinear problems of stability of the vibration proof plate under random influences
Abstract
Introduction. The problem of stability of nonlinear vibrations of a plate with a dynamic dumper and elastic-dissipative characteristics of the hysteresis type under random influences it considered.
Object and methods of research. The energy scattering in materials of the plate and the elastic – dumping element of the dynamic vibration dumper is taken into account in the form of a hysteresis loop according to the Pisarenco – Boginich. The stability of the vibration protected system, proposed Japanese counterpart Ito, method is studied using the static linearization method.
Results and discussion. The stability conditions of the vibration-resistant plate and obtained, which make it possible to determine the region and boundaries of stability at different values of the parameters of the plate and the dynamic dumper at different random influences.
Conclusion. It is shown that under random action in the form of white noise vibrations of the vibration – protected plate will be asymptotically stable, and the stability conditions do not depend on the spectral density of the acceleration of the base.
References
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