Stability, control and reliability of a ship crane payload motion

Daniil Yurchenko*, Panagiotis Alevras

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

13 Citations (Scopus)


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
Publication statusPublished - 12 Nov 2014


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

ASJC Scopus subject areas

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


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