MATEC Web Conf.
Volume 286, 201914th Congress of Mechanics (CMM2019)
|Number of page(s)||3|
|Section||Dynamics, Vibrations and Acoustics|
|Published online||14 August 2019|
Vibration with non-linear damping. stochastic approach
Laboratoire d'Etude des Matériaux Avancés et Applications, FS-EST, Moulay Ismail University, Meknès, Maroc
This paper describes a stochastic approach to the vibration behavior of a nonlinear damping structure. The deterministic approach is based on motion equations including the non-linearity of damping. For the stochastic calculation, the deviations were assigned to the input parameters of the mathematical model. The probabilistic distribution of these parameters must reflect real operational situations. Numerical simulations were performed with MATLAB using the Monte Carlo and perturbation method. The resulting curves for the parameters studied can find a practical application in the optimization of rotating machines (washing machine), where the parameters of mass, position of the center of gravity, etc. change during operation.
Key words: Nonlinear damping / stochastic / Monte Carlo / perturbation method.
© The Authors, published by EDP Sciences, 2019
This is an open access article distributed under the terms of the Creative Commons Attribution License 4.0 (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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