Wind and wave loads on offshore structures show nonlinear effects, which require non-Gaussian statistical models. Here we critically review the behavior of various non-Gaussian models. We first survey moment-based models; in particular, the four-moment “Hermite” model, a cubic transformation often used in wind and wave applications. We then derive an “L-Hermite” model, an alternative cubic transformation calibrated by the response “L-moments” rather than its ordinary statistical moments. These L-moments have recently found increasing use, in part because they show less sensitivity to distribution tails than ordinary moments. We find here, however, that these L-moments may not convey sufficient information to accurately estimate extreme response statistics. Finally, we show that four-moment maximum entropy models, also applied in the literature, may be inappropriate to model broader-than-Gaussian cases (e.g., responses to wind and wave loads).
Skip Nav Destination
Article navigation
Research-Article
Extremes of Nonlinear Vibration: Comparing Models Based on Moments, L-Moments, and Maximum Entropy
Cameron A. MacKenzie
Cameron A. MacKenzie
Search for other works by this author on:
Steven R. Winterstein
Cameron A. MacKenzie
Contributed by the Ocean Offshore and Arctic Engineering Division of ASME for publication in the JOURNAL OF Offshore MECHANICS AND ARCTIC ENGINEERING. Manuscript received July 14, 2011; final manuscript received April 13, 2012; published online February 25, 2013. Assoc. Editor: Bernt J. Leira.
J. Offshore Mech. Arct. Eng. May 2013, 135(2): 021602 (7 pages)
Published Online: February 25, 2013
Article history
Received:
July 14, 2011
Revision Received:
April 13, 2012
Citation
Winterstein, S. R., and MacKenzie, C. A. (February 25, 2013). "Extremes of Nonlinear Vibration: Comparing Models Based on Moments, L-Moments, and Maximum Entropy." ASME. J. Offshore Mech. Arct. Eng. May 2013; 135(2): 021602. https://doi.org/10.1115/1.4007050
Download citation file:
Get Email Alerts
2024 Reviewer's Recognition
J. Offshore Mech. Arct. Eng
Analysis of Friction and Wear Behavior of Polycrystalline Diamond Compact (PDC) for Application in Subsea Valves
J. Offshore Mech. Arct. Eng
Torsional Vibration of Drill String Induced by Heave Motion in Deepwater Drilling
J. Offshore Mech. Arct. Eng
Model tests on stability of interlocking L-shaped caisson quay wall on sand
J. Offshore Mech. Arct. Eng
Related Articles
Nonlinear Vibration Analysis of Turbine Bladed Disks With Midspan Dampers
J. Eng. Gas Turbines Power (April,2022)
Shock Isolation of an Orthogonal Six-DOFs Platform With High-Static-Low-Dynamic Stiffness
J. Appl. Mech (November,2023)
Bilinear Systems With Initial Gaps Involving Inelastic Collision: Forced Response Experiments and Simulations
J. Vib. Acoust (April,2022)
A Thermodynamic Framework for Viscoplasticity Based on Overstress (VBO)
J. Eng. Mater. Technol (October,2005)
Related Proceedings Papers
Related Chapters
Control and Operational Performance
Closed-Cycle Gas Turbines: Operating Experience and Future Potential
Comparing Probabilistic Graphical Model Based and Gaussian Process Based Selections for Predicting the Temporal Observations
Intelligent Engineering Systems through Artificial Neural Networks, Volume 20
Uyghur Named Entity Identification Basing on Maximum Entropy Model
International Conference on Information Technology and Computer Science, 3rd (ITCS 2011)