A big data problem involving stick-slip oscillations in an electromechanical system

Roberta Lima, Rubens Sampaio

Resumo


This work analyzes the stochastic response of an electromechanical system with stick­ slip oscillations. The system is composed of two subsystems that interact, a mechanical and an electromagnetic (a DC motor). The mechanical subsystem is subject to a dry frictional force mod­ eled as a Coulomb friction. An imposed source voltage in the DC motor stochastically excites the system. This excitation induces in the mechanical subsystem stochastic stick-slip oscillations. The resulting motion of the mechanical subsystem can be characterized by two qualitatively different and alternate modes, the stick- and slip-modes, with a non-smooth transition between them. Me­ chanical and electromagnetic parameters influence this stochastic sequence. The objective of this paper is to analyze the joint influence of these parameters in the statistical model of the system response. With Monte Carlo simulations, scatter plots and joint histograms are constructed for different combinations of parameter values.


Palavras-chave


Electromechanical systems, Stick-slip oscillations, Dry-friction, Uncertainties, Big data, Joint distributions

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Referências


Bengisu, M.T. and Akay, A. Stick-slip oscillations: dynamics of friction and surface roughness, Journal of the Acoustical Society of America, 105:194, 1999. DOI: 10.1121/1.424580.

Lima, R. and Sampaio, R. Construction of a statistical model for the dynamics of a base­ driven stick-slip oscillator, Mechanical Systems and Signal Processing, 91:157-166, 2017. DOI: 10.1016/j.ymssp.2016.12.038.

Lima, R. and Sampaio, R. Stick-slip oscillations in a multiphysics system, Nonlinear Dynam­ ics, 100:2215-2224, 2020. DOI: 10.1007/sll071-020-05677-5.[4] Sampaio, R. and Lima, R. Modelagem Estocástica e Geração de Amostras de Variáveis e Vetores Aleatórios. In Notas de Matemática Aplicada, vol. 70, SBMAC, São Carlos, São Paulo, 2012. ISSN: 2175-3385.




DOI: https://doi.org/10.5540/03.2021.008.01.0338

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