Safety and Reliability

The Hermite Moment Model for Highly Skewed Response With Application to Tension Leg Platforms

[+] Author and Article Information
Myoungkeun Choi

Department of Civil Engineering, Texas A&M University, 3136 TAMU, College Station, TX 77843-3136myoungchoi@gmail.com

Bert Sweetman

Department of Civil Engineering, Texas A&M University, 3136 TAMU, College Station, TX 77843-3136sweetman@tamu.edu

J. Offshore Mech. Arct. Eng 132(2), 021602 (Mar 10, 2010) (8 pages) doi:10.1115/1.4000398 History: Received August 14, 2008; Revised June 17, 2009; Published March 10, 2010; Online March 10, 2010

A new addition to the statistical Hermite moment model of extremes is introduced for use on processes with high skewness and near-Gaussian kurtosis. The monotone limits of the existing model are expressed as ellipses in response moment space and a new methodology is introduced that combines hardening and softening models to overcome these limits. The result is that any fractile of a distribution described by its first four statistical moments can be transformed to or from the Gaussian. An example application to a tension leg platform is presented.

Copyright © 2010 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.



Grahic Jump Location
Figure 1

Various regions of model applicability

Grahic Jump Location
Figure 2

Practical, softening monotone and hardening monotone limits in Hermite moment space

Grahic Jump Location
Figure 3

Combination of nonmonotone hardening and softening models into a single monotonic transformation. (a) Region III: softening-hardening-softening required for piecewise monotone (α3=−0.2651, α4=3.0072, and t=4400 s). (b) Region IV: hardening-softening-hardening required for piecewise monotone (α3=−0.2402, α4=2.9885, and t=4700 s).

Grahic Jump Location
Figure 4

Tension leg platform

Grahic Jump Location
Figure 5

Hermite extreme value estimation: a single realization with statistical moments shifting between monotone and nonmonotone models used to predict 90 min maximum

Grahic Jump Location
Figure 6

PDF comparison: standardized softening-hardening-softening, hardening-softening-hardening, and monotone responses (4700 s, 5000 s, and 5300 s in Table 1)

Grahic Jump Location
Figure 7

Histogram of 4100 s simulated response compared with theoretical PDFs based on α3=−0.2654 and α4=3.0360

Grahic Jump Location
Figure 8

Statistical moments based on short durations used to predict 90 min maximum. All statistics based on 20 simulations.



Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In