Design of a Washing Machine with a Stochastic Approach
DOI:
https://doi.org/10.70567/mc.v41i5.30Palavras-chave:
Washing machine, Nonlinear dynamics, Uncertain unbalance, Shooting method, Monte Carlo simulationResumo
A washing machine is a household appliance that has an interesting and complex dynamicalbehavior, which can be well described by a set of nonlinear differential equations. When analyzing the dynamics of a washing machine, the steady state motion (periodic solution) is an important response to consider and can be evaluated as a solution of a periodic boundary-valueproblem. The unbalance generated by the unevenly distribution of clothes during centrifugationis highly random and, therefore, a stochastic model is necessary to take this characteristic intoaccount. The novelty of this paper consists in the analysis of a washing machine dynamics considering the uncertainty in the unbalance. Therefore, a stochastic model is proposed for the dynamics of a washing machine. The steady state solutions are calculated using the shootingmethod combined with a sequential continuation to evaluate it across all the spin speeds of the machine. The probability distributions of the washing machine vibration at those different spin speeds are approximated using Monte Carlo simulations. The impact of the random unbalance in the vibration amplitude of the washing machine is also investigated and consists in a keyinput for the fatigue design of many components.
Referências
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