2023
DOI: 10.3390/jmse11061237
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Analytical and Computational Modeling for Multi-Degree of Freedom Systems: Estimating the Likelihood of an FOWT Structural Failure

Abstract: 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 patter… Show more

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Cited by 35 publications
(4 citation statements)
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“…Figure 5a) presents prediction by Gumbel method, it is seen that advocated methodology in Fig. 5b) a) performs significantly more accurate than Gumbel extrapolation method, in terms of CI, however predicted risk levels are very close, namely near 0.03% [35,[52][53][54][55][56][57][58].…”
Section: Resultsmentioning
confidence: 93%
“…Figure 5a) presents prediction by Gumbel method, it is seen that advocated methodology in Fig. 5b) a) performs significantly more accurate than Gumbel extrapolation method, in terms of CI, however predicted risk levels are very close, namely near 0.03% [35,[52][53][54][55][56][57][58].…”
Section: Resultsmentioning
confidence: 93%
“…[32][33][34][35][36][37][38] The bivariate joint CDF 𝑃(𝜉, 𝜂) ∶ = Prob ( X𝑁 ≤ 𝜉, Ŷ𝑁 ≤ 𝜂) of the vector in two-dimensional (2D) ( X𝑁 , Ŷ𝑁 ), with components X𝑁 = max{𝑋 𝑗 ; 𝑗 = 1, … , 𝑁}, and Ŷ𝑁 = max{𝑌 𝑗 ; 𝑗 = 1, … , 𝑁}, is studied here, hence serving as an illustration of a 2D dynamic system. 31,[39][40][41][42][43][44][45][46][47][48] As critical/hazard thresholds, unidimensional extreme system components values with few months return periods and associated probabilities 𝑝 were selected, see Figure 7. Following scaling was done to combine both measured time series 𝑋, 𝑌, according to Equation (5), resulting in each of the two replies having a failure/hazard limit of 1.…”
Section: Resultsmentioning
confidence: 99%
“…Novel method was validated versus a well‐established bivariate Weibull method, using both analytical synthetic data and measured GPEH system dynamics. Finally, advocated Using advocated method for systems with more than two dimensions obviously cannot be validated versus bivariate statistical methods; hence, it can be validated versus direct Monte Carlo simulations; for details, see authors’ latest works (Gaidai, Liu, et al., 2023; Gaidai, Wang, Yakimov, Sun, et al., 2023; Gaidai, Xing, Xu, & Balakrishna, 2023; Gaidai, Xu, Yakimov, et al., 2023; Gaidai, Yakimov, and Balakrishna, 2023; Gaidai, Yakimov, Wang, Hu, et al., 2023; Gaidai, Yakimov, Wang, Zhang, et al., 2023; Gaidai, Yan, Xing, Xu, et al., 2023; Liu et al., 2023; Sun et al., 2023; Yakimov, Gaidai, Wang, & Wang, 2023; Yakimov, Gaidai, Wang, Xu, et al., 2023). Suggested methodology may be well used in a wide range of engineering areas of applications.…”
Section: Discussionmentioning
confidence: 99%