Cellular automata in nonlinear string vibration

Abstract

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.