Eventos Anais de eventos
DINAME 2023
XIX International Symposium on Dynamic Problems of Mechanics
Nonlinear dynamics of vertical axis washing machines with uncertain unbalance
Submission Author:
Gustavo Brattstroem Wagner , RJ
Co-Authors:
Gustavo Brattstroem Wagner, Roberta Lima, Rubens Sampaio
Presenter: Rubens Sampaio
doi://10.26678/ABCM.DINAME2023.DIN2023-0013
Abstract
A washing machine is a household appliance that has an interesting dynamical behavior, which can be well described by a set of nonlinear differential equations. When analyzing the dynamics of a washing machine, the steady state motion is an important response to consider and can be evaluated as a solution of a periodic boundary-value problem. The unbalance generated by the unevenly distribution of clothes during centrifuge is highly random and, therefore, a stochastic model is necessary to take this characteristic into account. This paper focuses on 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 Shooting method combined with a sequential continuation. The probability distributions of the washing machine vibration at 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.
Keywords
Washing machine, Monte Carlo simulations, Shooting Method, nonlinear dynamics
