Hostname: page-component-cd9895bd7-gxg78 Total loading time: 0 Render date: 2024-12-23T14:39:53.221Z Has data issue: false hasContentIssue false

Compound Path Integral Solution of Response Exceedance Probabilities of an Offshore Structure

Published online by Cambridge University Press:  16 June 2011

Y. G. Wang*
Affiliation:
Department of Naval Architecture and Ocean Engineering, State Key Laboratory of Ocean Engineering, Shanghai Jiao Tong University, Shanghai, 200240, China
*
*Associate Professor, corresponding author
Get access

Abstract

In this technical note, a compound path integral solution (CPIS) method is utilized to calculate the response exceedance probabilities of a nonlinear compliant offshore structure subjected to slow drift wave force excitations. The structure's slow drift response exceedance probabilities have also been calculated by using the original PIS method for comparison purpose. It is found that the efficiency of the CPIS method for predicting the structure's slow drift response exceedance probabilities is higher than that of the original PIS method.

Type
Technical Note
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2011

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Martinsen, T., “Dynamics of Slow-Drift Oscillations with Non-Linear Restoring Forces,” IUTAM Symposium Non-linear Water Waves, Tokyo, Japan (1987).Google Scholar
2. Johnsen, J. M. and Naess, A., “Time Variant Wave Drift Damping and its Effect on the Response Statistics of Moored Offshore Structures,” International Journal of Offshore and Polar Engineering, 3, pp. 273279 (1993).Google Scholar
3. Naess, A. and Johnson, J. M., “Response Statistics of Nonlinear, Compliant Offshore Structures by the Path Integral Solution Method,” Probabilistic Engineering Mechanics, 8, pp. 91106 (1993).CrossRefGoogle Scholar
4. Karlsen, H. C. and Naess, A., “Statistical Response Predictions for a Nonlinearly Moored Large Volume Structure in Random Seas,” Applied Ocean Research, 27, pp. 273280 (2005).CrossRefGoogle Scholar
5. Yu, J. S., Cai, G. Q. and Lin, Y. K., “A New Path Integration Procedure Based on Gauss-Legendre Scheme,” International Journal of Non-Linear Mechanics, 32, pp. 759768 (1997).CrossRefGoogle Scholar
6. Wang, Y. G. and Tan, J. H., “Markov Modeling for Slow Drift Oscillations of Moored Vessels in Irregular Waves,” Journal of Ship Mechanics, 39, pp. 14931500 (2008).Google Scholar
7. Wang, Y. G., Tan, J. H. and Xue, L. P., “On the Ex-ceedance Probabilities of Extreme Drift Motions of An Offshore Structure,” China Ocean Engineering, 39, pp. 14931500 (2008).Google Scholar
8. Wang, Y. G. and Tan, J. H., “Nonlinear Analysis of Slow Drift Extreme Responses of a Compliant Offshore Structure,” Acta Mechanica Sinica, 25, pp. 651657 (2009).Google Scholar
9. Borgman, L. E., “Ocean Wave Simulation for Engineering Design,” Journal of the Waterways and Harbors Division, Proceedings of the American Society of Civil Engineers, 95, pp. 557583 (1969).Google Scholar
10. Devore, J. L.Probability and Statistics for Engineering and the Sciences, 6th Ed., Beijing, China Machine Press (2005).Google Scholar
11. Grime, A. J. and Langley, R. S., “On the Efficiency of Crossing Rate Prediction Methods Used to Determine Extreme Motions of Moored Offshore Structures,” Applied Ocean Research, 25, pp. 127135 (2003)CrossRefGoogle Scholar
12. Wang, Y. G., “Research on Slow Drift Extreme Response and Stability of Ocean Structures in Random Seas,” Ph.D. dissertation, School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University (2008).Google Scholar