Stability of a stochastic ship crane

D. Yurchenko, P. Alevras

Research output: Chapter in Book/Report/Conference proceedingConference contribution


The paper investigates stochastic dynamics and stability of a ship-based crane. The simplified nonlinear model of the payload motion is considered, where the excitation of a suspension point is imposed due to heaving motion of waves. The latter enters the system parametrically, leading to a Mathieu type nonlinear equation. Two models are considered: A single-degree-of-freedom system and two-degree-of-freedom system coupled through a nonlinearity and parametric excitation. Both systems analyzed analytically using approximate methods and numerically. The stability boundaries are calculated for both cases, using the Lyapunov exponent.

Original languageEnglish
Title of host publicationSafety, Reliability, Risk and Life-Cycle Performance of Structures and Infrastructures - Proceedings of the 11th International Conference on Structural Safety and Reliability, ICOSSAR 2013
PublisherCRC Press
Number of pages6
ISBN (Print)9781138000865
Publication statusPublished - 2013
Event11th International Conference on Structural Safety and Reliability - New York, NY, United States
Duration: 16 Jun 201320 Jun 2013


Conference11th International Conference on Structural Safety and Reliability
Abbreviated titleICOSSAR 2013
Country/TerritoryUnited States
CityNew York, NY

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Safety, Risk, Reliability and Quality


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