Solving the Problem of Nonlinear Ship Roll Motion Using Stochastic Dynamics

Falzarano, Jeffrey; Zhiyong, Su; Jamnongpipatkul, Arada; Somayajula, Abhilash

doi:10.1007/978-3-030-00516-0_25

Cited by 4 publications

(3 citation statements)

References 27 publications

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“…Then, by maintaining them in time non-decreasing order, for each measured time series, a single time series were combined by all of the local maxima: ⃗ 𝑅 = (max{𝑋 1 , 𝑌 1 }, … , max{𝑋 𝑁 , 𝑌 𝑁 }) , for more details on similar approaches see. 23,[49][50][51][52][53][54][55] Figure 6 presents an example of riser response stresses, presented as time series. Figure 7 displays riser dynamic system ACER2D bivariate contours.…”

Section: Resultsmentioning

confidence: 99%

“…Following scaling was done to combine both measured time series

X,\ Y

, according to Equation (), resulting in each of the two replies having a failure/hazard limit of 1. Then, by maintaining them in time non‐decreasing order, for each measured time series, a single time series were combined by all of the local maxima:

\vec{R} = ( {{\mathrm{max}}\{ {{X}_1,{Y}_1} \}, \ldots ,{\mathrm{max}}\{ {{X}_N,{Y}_N} \}} )\

, for more details on similar approaches see 23,49–55 …”

Section: Resultsmentioning

confidence: 99%

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On safe offshore energy exploration in the Gulf of Eilat

Sun

Gaidai

Xing

et al. 2023

Quality & Reliability Eng

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Gulf of Eilat is rich with energy resources, however any industrial natural resource development requires additional safety, as local eco‐system has to be preserved. In contrast to bivariate reliability approaches, known to their accurate predictions of extreme response and load levels for two‐dimensional dynamic systems, this study suggests and validates novel structural reliability method, which is being appropriate method for high‐dimensional dynamic systems. Conventional reliability methods do not have an advantage of dealing easily with high‐dimensional nonlinear dynamic systems, especially with non‐linear cross‐correlations between different system components. Advocated approach does not have limitations on the system's number of degrees of freedom, and it can accurately assess dynamic system's failure risks. Main purpose of this study was to benchmark state‐of‐the‐art reliability methodology, while utilizing available dataset efficiently. Note that advocated approach is not limited to offshore engineering example, studied here, and it has wide range of potential engineering and design applications.

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Section: Resultsmentioning

confidence: 99%

“…Following scaling was done to combine both measured time series

X,\ Y

\vec{R} = ( {{\mathrm{max}}\{ {{X}_1,{Y}_1} \}, \ldots ,{\mathrm{max}}\{ {{X}_N,{Y}_N} \}} )\

, for more details on similar approaches see 23,49–55 …”

Section: Resultsmentioning

confidence: 99%

On safe offshore energy exploration in the Gulf of Eilat

Sun

Gaidai

Xing

et al. 2023

Quality & Reliability Eng

View full text Add to dashboard Cite

show abstract

“…. By long enough time lapse T, the authors primarily mean a large enough value of T with respect to dynamic system relaxation and auto correlation times [35][36][37][38][39]. Let X 1 , .…”

Section: Novel Reliability Methodsmentioning

confidence: 99%

Analytical and Computational Modeling for Multi-Degree of Freedom Systems: Estimating the Likelihood of an FOWT Structural Failure

Gaidai

Yakimov

et al. 2023

JMSE

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Wind turbines and their associated parts are subjected to cyclical loads, such as bending, torque, longitudinal stresses, and twisting moments. The novel spatiotemporal reliability technique described in this research is especially useful for high-dimensional structural systems that are either measured or numerically simulated during representative observational time span. As this study demonstrates, it is possible to predict risks of dynamic system failure or damage given the in situ environmental load pattern. As an engineering example for this reliability, the authors have chosen 10-MW floating wind turbines and their dynamic responses, under environmental loadings, caused by wind and waves. The aim of this study was to benchmark a state-of-the-art approach suitable for the reliable study of offshore wind turbines. Existing reliability methods do not easily cope with dynamic system high dimensionality. The advocated reliability technique enables accurate and efficient assessment of dynamic system failure probability, accounting for system nonlinearities and high dimensionality as well as cross-correlations between different system components.

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Parametric roll vulnerability of ships using Markov and Melnikov approaches

Somayajula

Falzarano

2019

Nonlinear Dyn

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Solving the Problem of Nonlinear Ship Roll Motion Using Stochastic Dynamics

Cited by 4 publications

References 27 publications

On safe offshore energy exploration in the Gulf of Eilat

On safe offshore energy exploration in the Gulf of Eilat

Analytical and Computational Modeling for Multi-Degree of Freedom Systems: Estimating the Likelihood of an FOWT Structural Failure

Parametric roll vulnerability of ships using Markov and Melnikov approaches

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