Cellular automata in nonlinear vibration problems of two-parameter elastic foundation

Cellular automata procedure for the analysis of nonlinear viscously damped transverse vibrations of two-parameter elastic foundation 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 string modelling the foundationʹs surface layer. A series of numerical analysis of a foundation under arbitrary static or dynamic load, including moving forces and the simulation of the behaviour of rigid structures on a foundation were done. Numerical results demonstrate that cellular automata can constitute a simple and effective tool for the analysis of two-parameter elastic foundation complex problems which have not been analyzed in this way before.