Stability, control and reliability of a ship crane payload motion

Daniil Yurchenko, Panagiotis Alevras

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)173-179
Number of pages7
JournalProbabilistic Engineering Mechanics
Volume38
Early online date12 Jan 2014
DOIs
Publication statusPublished - Oct 2014

Keywords

  • Bang-bang control
  • First passage time
  • Largest Lyapunov Exponent
  • Mathieu equation
  • Off-shore crane
  • Stochastic stability

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Mechanical Engineering
  • Civil and Structural Engineering
  • Aerospace Engineering
  • Ocean Engineering
  • Nuclear Energy and Engineering

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