Probabilistic description of extreme oscillations and reliability analysis in rolling motion under stochastic excitation

Dan Zhao, Yong Ge Li, Yong Xu, Qi Liu, Jürgen Kurths

科研成果: 期刊稿件文章同行评审

7 引用 (Scopus)

摘要

Large-amplitude rolling motions, also regarded as extreme oscillations, are a great threat to marine navigation, which may lead to capsizing in ship motion. Therefore, it is important to quantify extreme oscillations, assess reliability of ship systems, and establish a suitable indicator to characterize extreme oscillations in ship systems. In this work, extreme events are investigated in a ship model considering a complex ocean environment, described by a single-degree-of-freedom nonlinear system with stochastic harmonic excitation and colored Gaussian noise. The stationary probability density function (PDF) of the system is derived through a probabilistic decomposition-synthesis method. Based on this, we infer the classical damage rate of the system. Furthermore, a new indicator, independent of the PDF, is proposed to quantify the damage related only to the fourth-order moment of the system and the threshold for extreme events. It is more universal and easier to determine as compared with the classical damage rate. A large damping ratio, a large noise intensity, or a short correlation time can reduce the damage rate and the value of the indicator. These findings provide new insights and theoretical guidance to avoid extreme oscillations and assess the reliability of practical ship movements.

源语言英语
页(从-至)2586-2596
页数11
期刊Science China Technological Sciences
66
9
DOI
出版状态已出版 - 9月 2023

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