The applicability of stochastic averaging method to solve the ship rolling response excited by narrow-band waves

Publikationstyp
Journal Article
Date Issued
2022-05-01
Sprache
English
Author(s)
Liu, Yaliu  
Liu, Liqin  
Dostal, Leo  
Lu, Jiang  
Institut
Mechanik und Meerestechnik M-13  
TORE-URI
http://hdl.handle.net/11420/12194
Journal
Ocean engineering  
Volume
251
Article Number
111109
Citation
Ocean Engineering 251: 111109 (2022-05-01)
Publisher DOI
10.1016/j.oceaneng.2022.111109
Scopus ID
2-s2.0-85126954085
In this paper, a single-degree-of-freedom rolling equation under parametric excitation is established. Based on strip theory, the righting arm is calculated by numerical simulation with different roll angles, wave heights, and phase angles of the wave position. Then the least square method is used to obtain an analytical expression of the righting arm. The stochastic averaging method of energy envelope is used to calculate the ship rolling response under random excitation. Compared with the Monte Carlo solution, the accuracy of stochastic averaging method under different sea conditions is evaluated. The results show that with the decreasing of the hydrodynamic damping, the peak factor or the excitation intensity of the considered JONSWAP sea spectrum, the accuracy of the stochastic averaging method increases. As a result, conditions for applicability of the stochastic averaging method of energy envelope for practical engineering problems are given. A very efficient way to analyze the roll response of ships in random seas is when stochastic averaging and Monte Carlo simulations are used hand in hand.
Subjects
Method applicability
Narrow-band excitation
Parametric excitation
Stochastic averaging method