Dynamics of Valve System with Forced Oscillations. Bifurcation Analysis and Rare Regular and Chaotic Attractors

Первая Международная школа молодых ученых "Нелинейная динамика машин" (School-NDM) и XVII Симпозиум по динамике виброударных (сильно нелинейных) систем (DYVIS-2012): сборник трудов 2012
Eduards Šilvāns, Mihails Zakrževskis

The article, discuss the dynamics of a simple bilinear model valve system under forced vibration. In the study of this system is what is called a bifurcation theory of nonlinear dynamical systems and a method of complete bifurcation groups. The aim is to clarify the basic laws when considering the bilinear system with a "soft stroke" that is, with the ultimate stiffness of the valve seat. In this paper, in terms of dimensionless stiffness restrictor valve (c1 = 100) increased two-fold compared with the model discussed earlier. It is found that the system can have a large number of periodic attractors in the same excitation parameters, rare periodic and chaotic attractors. It is planned that the work will be used to compare two models with soft and hard hit.

Keywords
Bilinear systems, valve dynamics, forced oscillations, ifurcation analysis, complete bifurcation groups, rare attractors

Šilvāns, E., Zakrževskis, M. Dynamics of Valve System with Forced Oscillations. Bifurcation Analysis and Rare Regular and Chaotic Attractors. In: Первая Международная школа молодых ученых "Нелинейная динамика машин" (School-NDM) и XVII Симпозиум по динамике виброударных (сильно нелинейных) систем (DYVIS-2012): сборник трудов, Russia, Москва, 20-26 May, 2012. Москва: ИМАШ РАН, 2012, pp.220-227. ISBN 9785904282035.

Publication language
Russian (ru)