Quantification of parametric uncertainties induced by irregular soil loading in orchard tower sprayer nonlinear dynamics

Americo Cunha Jr (1) , Jorge Luis Palacios Felix (2) , José Manoel Balthazar (3, 4)

1 UERJ - Universidade do Estado do Rio de Janeiro [Brasil] = Rio de Janeiro State University [Brazil] = Université d'État de Rio de Janeiro [Brésil]
2 Universidade Federal da Fronteira Sul
3 UNESP - Universidade Estadual Paulista Júlio de Mesquita Filho = São Paulo State University
4 Instituto Tecnológico de Aeronáutica

This paper deals with the nonlinear stochastic dynamics of an orchard tower sprayer subjected to random excitations due to soil irregularities. A consistent stochastic model of uncertainties is constructed to describe random loadings and to predict variabilities in mechanical system response. The dynamics is addressed in time and frequency domains. Monte Carlo method is employed to compute the propagation of uncertainties through the stochas-tic model. Numerical simulations reveals a very rich dynamics, which is able to produce chaos. This numerical study also indicates that lateral vibrations follow a direct energy cascade law. A probabilistic analysis reveals the possibility of large lateral vibrations during the equipment operation.

Mots clés: uncertainty quantification; parametric probabilistic approach; Karhunen-Loève decomposition; orchard tower sprayer; nonlinear dynamics

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

Americo Cunha Jr, Jorge Luis Palacios Felix, José Manoel Balthazar. Quantification of parametric uncertainties induced by irregular soil loading in orchard tower sprayer nonlinear dynamics. Journal of Sound and Vibration, 2017, 408, pp.252-269. ⟨10.1016/j.jsv.2017.07.023⟩. ⟨hal-01561543⟩