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Chaotic frictional vibrations excited by a quasiperiodic load
Authors:K V Avramov
Institution:(1) National Technical University (Kharkov Polytechnic Institute), Kharkov, Ukraine
Abstract:A Duffing oscillator frictionally interacting with a moving belt under a quasiperiodic load is studied. The multiple-scales method is used to derive a system of two nonautonomous equations with small parameters, which describes the modulation of vibrations. It is shown that the system of modulation equations has a heteroclinic structure. Melnikov functions are used to analyze the domain of heteroclinic chaos __________ Translated from Prikladnaya Mekhanika, Vol. 42, No. 9, pp. 127–133, September 2006.
Keywords:frictional vibrations  quasiperiodic load  Duffing oscillator  chaotic vibrations  modulation  heteroclinic Melnikov function  numerical modeling
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