On dynamic analysis and control of an elevator system using polynomial chaos and Karhunen-Loève approaches

Diego Colón (1) , Americo Cunha Jr (2) , Stefan Kaczmarczyk (3) , José Manoel Balthazar (4)

1 USP - Universidade de São Paulo = University of São Paulo
2 UERJ - Universidade do Estado do Rio de Janeiro [Brasil] = Rio de Janeiro State University [Brazil] = Université d'État de Rio de Janeiro [Brésil]
3 University of Northampton
4 Instituto Tecnológico de Aeronáutica

The paper deals with the quantification of uncertainties in an elevator system, subjected to lateral vibration induced by the car guide rail irregularities, with and without a feedback control system. A mathematical model for the elevator system is derived, and a stochastic model for the rail profile irregularities is constructed. This model of uncertainties describes the rail profile as a random field, which is represented by means of Karhunen-Loèeve expansion. Polynomial chaos is employed to compute the propagation of uncertainties through the stochastic model, in order to evaluate the disturbance rejection properties and robustness of the closed-loop system.

Mots clés: polynomial chaos; nonlinear dynamics; elevator systems; uncertainty quantification

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

Diego Colón, Americo Cunha Jr, Stefan Kaczmarczyk, José Manoel Balthazar. On dynamic analysis and control of an elevator system using polynomial chaos and Karhunen-Loève approaches. Procedia Engineering, 2017, 199, pp.1629-1634. ⟨10.1016/j.proeng.2017.09.083⟩. ⟨hal-01590666⟩