Lindstedt-Poincarejeva metoda z več časovnimi skalami za dinamične sisteme s kubičnimi nelinearnostmi
Pušenjak, Rudi, 1947- ; Oblak, Maks
Članek obravnava periodično vzbujane dinamične sisteme s kubičnimi nelinearnostmi in več prostostnimi stopnjami s pomočjo Lindstedt-Poincarejeve metode, razširjene z uvedbo več časovnih skal. Ob ...uporabi rekurzivnega simboličnega računanja metoda omogoča izračun aproksimacij višjih redov. Metoda je uporabljena pri izračunu skoraj periodičnih prostih nihanj nedušenega ter pri konstrukciji notranje in kombinacijske resonance dušenega nosilca, ki je v obeh primerih togo vpet na enem koncu in členkasto vpet na drugem koncu. Pojav obračalnih točk je razrešen z metodo sledenja po ločni dolžini.
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