This work investigates numerically two different methods of moments applied to Hermite derived probability distribution model and variations of Weibull distribution fitted to the short-term time series peaks sample of stochastic response parameters of a simplified jack-up platform model which represents a source of high non-Gaussian responses. The main focus of the work is to compare the results of short-term extreme response statistics obtained by the so-called linear method of moments (L-moments) and the conventional method of moments using either Hermite or Weibull models as the peaks distribution model. A simplified mass-spring system representing a three-legged jack-up platform is initially employed in order to observe directly impacts of the linear method of moments (L-moments) in extreme analysis results. Afterwards, the stochastic response of the three-legged jack-up platform is analyzed by means of 3-D finite element model. Bias and statistical uncertainty in the estimated extreme statistics parameters are computed considering as the “theoretical” estimates those evaluated by fitting a Gumbel to a sample of episodical extreme values obtained from distinct short-term realizations (or simulations). Results show that the variability of the extreme results, as a function of the simulation length, determined by the linear method of moments (L-moments) is smaller than their corresponding ones derived from the conventional method of moments and the biases are more or less the same.
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ASME 2012 31st International Conference on Ocean, Offshore and Arctic Engineering
July 1–6, 2012
Rio de Janeiro, Brazil
Conference Sponsors:
- Ocean, Offshore and Arctic Engineering Division
ISBN:
978-0-7918-4489-2
PROCEEDINGS PAPER
Conventional and Linear Statistical Moments Applied in Extreme Value Analysis of Non-Gaussian Response of Jack-Ups Available to Purchase
Leonardo Sant’Anna do Nascimento,
Leonardo Sant’Anna do Nascimento
Bureau Veritas, Rio de Janeiro, RJ, Brazil
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Luis Volnei Sudati Sagrilo,
Luis Volnei Sudati Sagrilo
COPPE/Federal University of Rio de Janeiro, Rio de Janeiro, RJ, Brazil
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Gilberto Bruno Ellwanger
Gilberto Bruno Ellwanger
COPPE/Federal University of Rio de Janeiro, Rio de Janeiro, RJ, Brazil
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Leonardo Sant’Anna do Nascimento
Bureau Veritas, Rio de Janeiro, RJ, Brazil
Luis Volnei Sudati Sagrilo
COPPE/Federal University of Rio de Janeiro, Rio de Janeiro, RJ, Brazil
Gilberto Bruno Ellwanger
COPPE/Federal University of Rio de Janeiro, Rio de Janeiro, RJ, Brazil
Paper No:
OMAE2012-83583, pp. 321-328; 8 pages
Published Online:
August 23, 2013
Citation
do Nascimento, LS, Sudati Sagrilo, LV, & Ellwanger, GB. "Conventional and Linear Statistical Moments Applied in Extreme Value Analysis of Non-Gaussian Response of Jack-Ups." Proceedings of the ASME 2012 31st International Conference on Ocean, Offshore and Arctic Engineering. Volume 2: Structures, Safety and Reliability. Rio de Janeiro, Brazil. July 1–6, 2012. pp. 321-328. ASME. https://doi.org/10.1115/OMAE2012-83583
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