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Lindstedt-Poincarejeva metoda za dinamične sisteme z velikimi nelinearnostmiOblak, 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.Source: Zbornik del (Str. 197-204)Type of material - conference contributionPublish date - 2004Language - slovenianCOBISS.SI-ID - 9067286
Author
Oblak, Maks |
Pušenjak, Rudi, 1947-
Topics
dinamični sistemi z velikimi nelinearnostmi |
potenčne vrste |
nelinearni dinamični sistemi |
perturbacijski parametri |
nosilci |
resonančne krivulje |
Lindstedt-Poicarejeva metoda |
highly non-linear dynamical system |
power series |
non-linear dynamical system |
perturbation parameters |
beam |
resonance curves |
Lindstedt-Poincare method
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Oblak, Maks | 03027 |
Pušenjak, Rudi, 1947- | 01738 |
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