QUANTIFICATION OF UNCERTAINTIES OF RANDOM DISCRETE VIBRA- TIONS SYSTEMS USING POLYNOMIAL CHAOS
Palavras-chave:
Uncertainty quantification, Vibrations, Polynomial Chaos, Monte Carlo SimulationResumo
The quantification of uncertainties consists in exploring how much the uncertainties in initial data
can propagate and change the final results. One of the most used methods is the Monte Carlo Simulation
Method. Despite it’s simplicity and versatility for engineering problems, this method presents high compu-
tational costs for complex problems, which might render it inapplicable. The Polynomial Chaos is an efficient
alternative for Monte Carlo Simulation Method because of its orthogonal properties and convergence. This
work approaches the quantification of uncertainties of discrete dynamic systems using generalized Polyno-
mial Chaos. The discrete system will be a general model of mass-spring-damper and the uncertainties will be
related to the initial conditions. This method will be validated by comparison with results obtained by Monte
Carlo Simulation.
