Stochastic Load Modeling of Ship Structures under Correlated Wave Pulses and Stochastic Voyage Process
Abstract
_ This study develops a stochastic load model for ship structures that accounts for the temporal correlation of wave-induced load pulses and the stochastic process governing voyage duration. The distribution of the extreme values of the still water bending moment and its combination with wave-induced bending moment is formulated using a stochastic renewal process, accounting for the possible nonexponential distribution of voyage duration and the associated uncertainty across different ship operations. The correlated wave-induced loads are modeled as a stochastic Markov process, and closed-form expressions are derived to estimate the extreme value distribution of the load combination. The applicability and accuracy of the proposed approaches are investigated for an Aframax tanker under full load conditions, and the results obtained are compared with those of existing formulations. In addition, the impact of different stochastic processes, voyage duration models, and wave correlation on the extreme value distribution of ship structural loads is investigated. The proposed approaches are straightforward and can be readily adopted in practical engineering applications for probabilistic load modeling of ship structures. In addition, they can be extended to perform reliability analysis of ship hull girders at the ultimate limit state by incorporating a statistical description of the structural capacity. Keywords still water load effects; wave-induced load effects; stochastic process; temporal correlation; load combination
Fields of Study & Subjects
Probabilistic and Robust Engineering Design
Structural Integrity and Reliability Analysis
Ship Hydrodynamics and Maneuverability
Publication details
- Journal / source
- Journal of Ship Research
- Publisher
- The Society of Naval Architects and Marine Engineers
- Volume
- 70
- Issue
- 01
- Pages
- 1–12
- Publication date
- 12 May 2026
- Language
- EN