Lindstedt-Poincarejeva metoda za dinamične sisteme z velikimi nelinearnostmi
Oblak, Maks ; Pušenjak, Rudi, 1947-
V članku je predstavljena modifikacija Lindstedt-Poincarejeve metode, v kateri dinamični sistem z veliko nelinearnostjo in veliko vrednostjo parametra v potenčni vrsti pretvorimo v ekvivalentni ...nelinearni dinamični sistem z majhnim perturbacijskim parametrom. Uporaba modificirane L-PM je prikazana na primeru nosilca, togo vpetega na enem in členkasto vpetega na drugem koncu. Resonančne krivulje nosilca so izračunane z uporabo rekurzivnega simboličnega računanja. Primerjava s klasično L-PM kaže prednosti modificirane metode, pri čemer ugotovimo, da L-PM ne zagotavlja verodostojnih rezultatov v dinamičnih sistemih z velikimi nelinearnostmi.
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