A mathematical analysis of an extended model describing sea ice-induced frequency lock-in for vertically sided offshore structures

Abramian, A. K.; Vakulenko, Sergey; Horssen, Wim T. van

doi:10.1007/s11071-021-07089-5

Cited by 2 publications

(1 citation statement)

References 31 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Dynamic models, such as the van der Pol equation, have been employed to study FLI phenomena [17]. The FLI has also been examined using a nonlinear mathematical model with the structure modeled as an Euler-Bernoulli beam [18]. Notably, low ice speeds typically lead to ductile sea ice failure, while high speeds result in brittle sea ice failure [19].…”

Section: Ice-induced Vibrations In Owtsmentioning

confidence: 99%

Discrete Element Analysis of Ice-Induced Vibrations of Offshore Wind Turbines in Level Ice

Long,

Liu,

2023

JMSE

View full text Add to dashboard Cite

Self-excited vibrations of offshore structures interacting with sea ice, characterized by low frequency and high amplitudes, pose significant hazards to offshore wind turbines (OWTs) in cold seas. This study employs the discrete element method (DEM) with a parallel bonding model to investigate the interaction between sea ice and OWTs. Two bond-failure models are compared, with the results showing that the model considering stiffness softening and fracture energy provides better alignment with field data in the Bohai Sea. The DEM is employed to analyze the ice-induced vibration of OWTs under varying ice velocities, revealing that brittle failure of sea ice occurs at higher ice speeds, leading to random structure vibration. At slower ice speeds, both brittle and ductile sea ice failure modes result in self-excited vibrations. This suggests a strong connection between self-excited vibration and the brittle-ductile failure of sea ice, influenced by the relative speeds between ice and the structure. This study employs the DEM to elucidate the mechanism of self-excited vibrations in OWTs from the perspective of brittle-ductile sea ice failure. The results show that the DEM model accurately describes the brittle-ductile transition in sea ice failure, and that the structural motion aligns well with field measurements.

show abstract

Section: Ice-induced Vibrations In Owtsmentioning

confidence: 99%

Discrete Element Analysis of Ice-Induced Vibrations of Offshore Wind Turbines in Level Ice

Long,

Liu,

2023

JMSE

View full text Add to dashboard Cite

show abstract

Nonlinear mathematical modeling in the model of village cultural industry

Zhang

Peng

Song³

2023

Applied Mathematics and Nonlinear Sciences

View full text Add to dashboard Cite

To solve the problem that the current forecasting methods cannot describe the long-term correlation of traffic, which leads to low prediction accuracy, the author proposes a mathematical modeling, forecasting and analysis method for village nonlinear traffic. The original nonlinear traffic data collected from the village comes from each base station, the information contained is uneven, pre-processing the collected data, eliminating abnormal values and duplicate data, and supplementing the missing data. Nonlinear traffic contains limited information, so a random forest algorithm is used to extract traffic characteristics and reduce data processing dimensions. The nonlinear traffic characteristics of the village are convolved, and the cross entropy function is used as the loss function, the feature vector of the input prediction model is deeply learned, and the communication traffic prediction results are obtained. Taking the traffic data of the communication operation enterprise’s base station as the test data, the experiment results show that, in the test with 1 million pieces of data, the decision coefficient of the mathematical modeling, prediction and analysis method of village nonlinear flow designed by the author is 0.9599, which is 0.1267 and 0.1431 higher than the prediction and analysis method based on genetic algorithm and fuzzy clustering algorithm respectively. In the modeling and prediction of nonlinear flow, the determination coefficient of the method proposed by the author is closer to 1, the fitting degree of this method is better than that of the contrast method, and it is adaptive in the real scene with a large amount of data. It is proved that the mathematical modeling and prediction analysis method designed in this design can reduce NRMSE and MAPE, improve the determination coefficient of prediction results, and provide the basis for village analysis.

show abstract

A mathematical analysis of an extended model describing sea ice-induced frequency lock-in for vertically sided offshore structures

Cited by 2 publications

References 31 publications

Discrete Element Analysis of Ice-Induced Vibrations of Offshore Wind Turbines in Level Ice

Discrete Element Analysis of Ice-Induced Vibrations of Offshore Wind Turbines in Level Ice

Nonlinear mathematical modeling in the model of village cultural industry

Contact Info

Product

Resources

About