Analysis of the primary and superharmonic contact resonances – Part 1.

Kostek, R.

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Analysis of the primary and superharmonic contact resonances – Part 1.

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Kostek R.

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Analiza rezonansu kontaktowego głównego oraz rezonansów ultraharmonicznych – Część 1

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Abstrakty

This paper presents results of numerical and analytical investigations of non-linear normal contact microvibrations excited by a harmonic force in a system of two bodies in planar contact. The system models, for example, the slide unit of machine tools or positioning systems. The main aim of the computational analysis is to present the evolution of the resonance phenomena under various amplitudes of the excitation force. The studies show that, beside the primary resonance, a number of superharmonic resonances appear, which take place in the single-degree-of-freedom non-linear system excited by a harmonic force. Thus, in a resonance plot, a number of peaks is observed. The superharmonic (ultraharmonic) resonances take place at excitation frequencies being below the natural frequency, and becoming stronger with the increase of the excitation amplitude. The resonances are coupled with complex non-linear phenomena like: asymmetry of vibrations, bending resonance peak, bi-stability, multi-stability and loss of contact, which are presented and described in this paper.

W artykule tym przedstawiono wyniki badań numerycznych oraz analitycznych drgań kontaktowych normalnych. Drgania te zostały wzbudzone przez silę harmoniczną w układzie składającym się z dwóch ciał, które tworzą parę cierną. Głównym celem pracy było zbadanie zmian rezonansów kontaktowych pod wpływem wzrostu amplitudy wymuszenia. Oprócz rezonansu głównego zaobserwowano także rezonanse ultraharmoniczne, które są wzbudzane dla częstotliwości będących poniżej częstotliwości własnej układu. Amplituda rezonansów ultraharmonicznych staje się stopniowo większa wraz ze wzrostem amplitudy wymuszenia. Ponadto zaobserwowano asymetrię drgań kontaktowych, odrywanie się ciał od siebie, wiele atraktorów dla takiego samego wzbudzenia oraz zaginanie się pików rezonansowych. Wymienione zjawiska zaobserwowano dla nieliniowego układu o jednym stopniu swobody.

Słowa kluczowe

nonlinear contact vibrations superharmonic resonance multistability

Wydawca

Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej

Czasopismo

Journal of Theoretical and Applied Mechanics

Rocznik

2013

Tom

Vol. 51 nr 2

Strony

475--486

Opis fizyczny

Bibliogr. 40 poz., rys.

Twórcy

autor

Kostek R.

robertkostek@o2.pl

University of Technology and Life Sciences in Bydgoszcz, Poland

Bibliografia

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