Robust optimization and uncertainty quantification in the nonlinear mechanics of an elevator brake system

Piotr Wolszczak (1) , Pawel Lonkwic (2) , Americo Cunha Jr (3) , Grzegorz Litak (1) , Szymon Molski (4)

1 Lublin University of Technology
2 The State School of Higher Education of Chelm
3 UERJ - Universidade do Estado do Rio de Janeiro [Brasil] = Rio de Janeiro State University [Brazil] = Université d'État de Rio de Janeiro [Brésil]
4 AGH UST - AGH University of Science and Technology [Krakow, PL]

This paper deals with nonlinear mechanics of an elevator brake system subjected to uncertainties. A deterministic model that relates the braking force with uncertain parameters is deduced from mechanical equilibrium conditions. In order to take into account parameters variabilities, a parametric probabilis-tic approach is employed. In this stochastic formalism, the uncertain parameters are modeled as random variables , with distributions specified by the maximum en-tropy principle. The uncertainties are propagated by the Monte Carlo method, which provides a detailed statistical characterization of the response. This work still considers the optimum design of the brake system, formulating and solving nonlinear optimization problems, with and without the uncertainties effects.

Mots clés: Elevator brake system; Nonlinear mechanics; Nonlinear optimization; Uncertainty quantification; Parametric probabilistic approach

Domaines: Mécanique des structures [physics.class-ph]; Mécanique des solides [physics.class-ph]; Probabilités [math.PR]; Statistiques [math.ST]; Génie mécanique [physics.class-ph]

Piotr Wolszczak, Pawel Lonkwic, Americo Cunha Jr, Grzegorz Litak, Szymon Molski. Robust optimization and uncertainty quantification in the nonlinear mechanics of an elevator brake system. Meccanica, 2019, 54, pp.1057-1069. ⟨hal-02105068⟩