Impact oscillators : fundamentals and applications

• Autorzy: Trzaska Z.

Identyfikatory

DOI

10.5604/12314005.1161825

• Języki publikacji: EN

Abstrakty

EN

The paper presents results of the analysis of nonlinear oscillators with nonsmooth elements and nonlinear systems with nonsmooth forcing components. Main attention has been focused on highlighting specific properties of nonsmooth systems compared to their smooth counterparts. Nonsmooth transformation of the time variable and the replacement of initial issues by boundary problems have been taken as the base for the analytical method. Results of numerical simulations and computing in the form of graphs of displacements and velocity waveforms and attractors are presented. To fully identify the system's behaviour and meet high performance specifications recourse to model all dynamics together with their interactions has been taken into account. Strong interactions among the parts of the system are considered and the phenomenon of the impact is exhibited. It has been found that non-smooth dynamical systems reveal significant wealth of nonlinear phenomena, including a chaotic, that are unique to this potentially important class of nonlinear systems. In non-smooth systems at small change of parameters, a sudden transition from a stable periodic oscillation to the full range of chaotic oscillations may often occur. The dynamics of nonsmooth oscillations with shock external forcing is analysed by using a relatively new mathematical tool, which appears to be hyperbolic algebra. The key idea of this tool is steeped in of non-smooth time transformations (NSTT) for strongly nonlinear, but still smooth models.

Słowa kluczowe

EN

nonlinear systems; impact oscillators; nonsmooth excitations; nonsmooth time transformation; hyperbolic numbers

• Wydawca: Łukasiewicz Research Network - Institute of Aviation ; European Science Society of Powertrain and Transport KONES Poland ; Wydawnictwo Instytutu Technicznego Wojsk Lotniczych
• Czasopismo: Journal of KONES
• Rocznik: 2015
• Tom: Vol. 22, No. 1
• Strony: 307--314
• Opis fizyczny: Bibliogr. 16 poz., rys.

Twórcy

autor

Trzaska Z.

• University of Ecology and Management Olszewska Street 12, 00-792 Warsaw, Poland Tel. [phone], Fax [phone]

Bibliografia

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