Journal
PROBABILISTIC ENGINEERING MECHANICS
Volume 38, Issue -, Pages 173-179Publisher
ELSEVIER SCI LTD
DOI: 10.1016/j.probengmech.2014.10.003
Keywords
Stochastic stability; Off-shore crane; Largest Lyapunov Exponent; Mathieu equation; Bang-bang control; First passage time
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This paper investigates the stochastic dynamics, stability and control of a ship-based crane payload motion, as well as the first time passage type of failure. The simplified nonlinear model of the payload motion is considered, where the excitation of a suspension point is imposed due to the heaving motion of waves. The latter enters the system parametrically, leading to a Mathieu type nonlinear equation. The stability boundaries are numerically calculated, using the Lyapunov exponent approach. The control strategy, based on the feedback bang-bang control policy, is implemented to minimize the load's swinging motion. Finally, the first time passage problem is addressed employing Monte-Carlo sampling of the failure process. (C) 2014 Elsevier Ltd. All rights reserved.
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