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

TL;DR

This study models and analyzes the nonlinear stochastic dynamics of an orchard tower sprayer under irregular soil loading, revealing complex behaviors including chaos and potential for large vibrations, with implications for equipment safety.

Contribution

It introduces a comprehensive stochastic model for soil-induced uncertainties in orchard sprayer dynamics, combining time and frequency domain analysis with Monte Carlo simulations.

Findings

Lateral vibrations can exhibit chaotic behavior.

Soil irregularities significantly influence vibration amplitudes.

Large vibrations pose operational risks.

Abstract

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 stochastic 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.