TECHNICAL PAPERS
Sep 1, 1987

Non‐Gaussian Response of Offshore Platforms: Dynamic

Publication: Journal of Structural Engineering
Volume 113, Issue 9

Abstract

A hybrid method, consisting of spectral and probabilistic analysis techniques, is proposed to evaluate the dynamic response characteristics of offshore platforms considering nonlinear wave kinematics and free‐surface fluctuation effects. The effect of nonlinear wave kinematics and intermittent loading is that the wave loading is non‐Gaussian. The response of platforms to such non‐Gaussian loading will be non‐Gaussian. A combination of spectral and probabilistic analyses is developed to estimate the response up to the fourth moment. The probability distribution of the response is estimated as a mixture of Gaussian distribution and shifted exponential distribution. With the help of an example, it is shown that the free‐surface fluctuations have a significant effect on the response. The skewness and kurtosis are shown to increase with an increase in significant wave height. The probability distribution is shown to deviate from the normally assumed Gaussian distribution, particularly at the tails commonly found in full‐scale measurements.

Get full access to this article

View all available purchase options and get full access to this article.

References

1.
Abromowitz, M., and Stegun, I. A., Handbook of Mathematical Functions, Dover Publications Inc., Academic Press, New York, N.Y., 1972.
2.
Anastastasiou, K., Tickell, R. G., and Chaplin, J. R., “The Non‐Linear Properties of Random Wave Kinematics,” Proceedings of Third International Conference on Behavior of Offshore Structures, M.I.T., Cambridge, Mass., Vol. 1, 1983, pp. 493–515.
3.
Bernard, S., and Child, J. M., Higher Algebra, McMillan, London, England, 1936.
4.
Borgman, L. E., “Ocean Wave Simulation for Engineering Design,” Journal of the Waterways and Harbors Division, ASCE, Vol. 95, No. 4, Nov., 1969, pp. 557–583.
5.
Burrows, R., “Expected Value Analysis for the Quasi‐Static Response of Offshore Structures,” Applied Mathematical Modeling, Vol. 7, No. 5, Oct., 1983, pp. 317–328.
6.
Grigoriu, M., “Contributions to Approximate Reliability Analysis,” Report 81‐15, Department of Structural Engineering, Cornell University, Ithaca, N.Y., 1981.
7.
Grigoriu, M., “Dynamic Response of Offshore Platforms to Environmental Loads,” Proceedings of the Fourth Specialty Conference on Probabilistic Mechanics and Structural Reliability, ASCE, New York, N.Y., Jan., 1984, pp. 115–118.
8.
Heavener, J. W., et al., “Measured Fatigue Stress Response of North Sea Jacket Platforms,” Proceedings of the Fourth International Conference on Structural Safety and Reliability, Kobe, Japan, Vol. III, 1985, pp. 719–723.
9.
Huang, N. E., et al., “A Non‐Gaussian Statistical Model of Surface Elevations of Nonlinear Random Wave Field,” Journal of Geophysical Research, Vol. 88, No. C12, Sep., 1983, p. 7597–7606.
10.
Inglis, R. B., and Kint, T. E., “Predicted and Measured Long Term Stress Range Distributions for the Fulmar A Platform,” Proceedings of the Fourth International Conference on Behavior of Offshore Structures, Delft, The Netherlands, 1985, pp. 153–165.
11.
Kanegaonkar, H. B., and Haldar, A., “Non‐Gaussian Response of Offshore Platforms: Fatigue,” Journal of Structural Engineering, ASCE, Vol. 113, No. 9, Sep., 1987, pp. 1899–1908.
12.
Lutes, L. D., et al., “Stochastic Fatigue Damage Accumulation,” Journal of Structural Engineering, ASCE, Vol. 110, No. 11, Nov., 1984, pp. 2585–2601.
13.
Malholtra, A. K., and Penzien, J., “Nondeterministic Analysis of Offshore Structures,” Journal of Engineering Mechanics, ASCE, Vol. 96, No. 6, Dec., 1970, pp. 985–1003.
14.
Papoulis, A., Probability, Random Variables and Stochastic Processes, McGraw Hill Book Co., New York, N.Y., 1965.
15.
Tung, C. C., “Statistical Properties of the Kinematics and Dynamics of a Random Gravity Wavefield,” Journal of Fluid Mechanics, Vol. 70, Part 2, Jul., 1975, pp. 251–255.
16.
Tung, C. C., “Statistical Properties of Non‐Linear Waves,” Proceedings of the Fourth Specialty Conference on Probabilistic Mechanics and Structural Reliability, ASCE, New York, N.Y., Jan., 1984, p. 111–114.
17.
Tung, C. C., “Statistical Properties of Pressure in a Random Wave Field,” Journal of Physical Oceanography, Vol. 6, No. 4, Jul., 1976, pp. 589–591.
18.
Tung, C. C., “Statistical Properties of Wave Force,” Journal of Engineering Mechanics, ASCE, Vol. 100, No. 1, Feb., 1975, pp. 1–11.
19.
Tung, C. C., and Pajouhi, K., “Covariance Functions and Spectra for Random Wave Field,” Journal of Physical Oceanography, Vol. 6, No. 1, Jan., 1976, pp. 104–107.
20.
Zijp, D., “Spectral Fatigue Analysis of Andoc Dunlin A Platform,” Mechanics of Wave Induced Forces on Cylinders, T. L. Shaw, Ed., Pitman Advance Publishing Program, London, U.K., 1979, pp. 596–608.

Information & Authors

Information

Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 113Issue 9September 1987
Pages: 1882 - 1898

History

Published online: Sep 1, 1987
Published in print: Sep 1987

Permissions

Request permissions for this article.

Authors

Affiliations

Hari B. Kanegaonkar
Post‐Doctoral Fellow, School of Civ. Engrg., Georgia Inst. of Tech., Atlanta, GA 30332
Achintya Haldar, M. ASCE
Assoc. Prof., School of Civ. Engrg., Georgia Inst. of Tech., Atlanta, GA 30332

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share