Cellular automata in nonlinear string vibration

• Autorzy: Glabisz W.

Warianty tytułu

PL

Automaty komórkowe w nieliniowych drganiach struny

• Języki publikacji: EN

Abstrakty

EN

Cellular automata procedure for the analysis of nonlinear viscously damped transverse string vibrations was defined. Parameters were obtained by comparing the cellular automata defining rules with relations resulting from the discrete form of the mathematical description of the investigated phenomenon. A series of numerical tests that were run confirmed the agreement between the obtained results and the solutions found in the literature. Numerical results demonstrate that cellular automata can constitute a simple and effective tool for the analysis of a range of complex problems which have not been analyzed in this way before.

PL

W artykule zdefiniowano procedurę automatów komórkowych, którą przystosowano do analizy nieliniowych, wiskotycznie tłumionych drgań poprzecznych struny. Parametry automatów komórkowych otrzymano porównując reguły definiujące ewolucję CA ze związkami wprost wynikającymi z dyskretnej postaci matematycznego opisu zjawiska. Przeprowadzono szereg testów numerycznych potwierdzających jakościową i ilościową zgodność otrzymywanych wyników z rozwiązaniami znanymi z literatury. Wykonane testy numeryczne pokazują, że automaty komórkowe mogą być prostym i skutecznym narzędziem analizy szeregu złożonych zagadnień dotychczas tym sposobem nie analizowanych.

Słowa kluczowe

EN

cellular automata; string; nonlinear vibration; dynamic loading; moving forces

PL

sznurek; drgania nieliniowe; obciążenie dynamiczne; przeniesienie siły

• Wydawca: Springer ; Wrocław University of Science and Technology
• Czasopismo: Archives of Civil and Mechanical Engineering
• Rocznik: 2010
• Tom: Vol. 10, no 1
• Strony: 27--41
• Opis fizyczny: Bibliogr. 39 poz., rys., wykr.

Twórcy

autor

Glabisz W.

• Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370, Wrocław, Poland

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