TECHNICAL PAPERS
Feb 19, 2004

Optimal Engineering Design Method that Combines Safety Factors and Failure Probabilities: Application to Rubble-Mound Breakwaters

Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 130, Issue 2

Abstract

This paper presents a new method for engineering design that allows controlling safety factors and failure probabilities with respect to different modes of failure. Since failure probabilities are very sensitive to tail assumptions, and safety factors can be insufficient, a double check for the safety of the engineering structure is done. The dual method uses an iterative process that consists of repeating a sequence of three steps: (1) an optimal (in the sense of optimizing an objective function) classical design, based on given safety factors, is done, (2) failure probabilities or bounds of all failure modes are calculated, and (3) safety factor bounds are adjusted. The three steps are repeated until convergence, i.e., until the safety factor lower bounds and the mode failure probability upper bounds are satisfied. In addition, a sensitivity analysis of the cost and reliability indices to the data parameters is done. The proposed method is illustrated by its application to the design of a rubble-mound breakwater.

Get full access to this article

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

References

Breitung, K.(1984). “Asymptotic approximations for multinormal integrals.” J. Eng. Mech., 100(3), 357–366.
Castillo, E. (1988). Extreme value theory in engineering, Academic, New York.
Castillo, E., Solares, C., and Gómez, P. (1996). “Tail sensitivity analysis in Bayesian networks.” Proc., 12th Conf. on Uncertainty in Artificial Intelligence (UAI ’96), Morgan Kaufmann, San Francisco, 133–140.
Castillo, E., Solares, C., and Gómez, P.(1997a). “Estimating extreme probabilities using tail simulated data.” Int. J. Approx. Reasoning, 17(2), 163–190.
Castillo, E., Solares, C., and Gómez, P.(1997b). “High probability one-sided confidence intervals in reliability models.” Nucl. Sci. Eng., 126, 158–167.
Castillo, E., Conejo, A., Mı´nguez, R., and Castillo, C. (2003). “An alternative approach for addressing the failure probability-safety factor method with sensitivity analysis.” Reliability Eng. Syst. Safety, in press.
Castillo, E., Mı´nguez, R., Ruiz-Terán, A., and Fernández-Canteli, A.(2004). “Design and sensitivity analysis using the probability-safety-factor method. An application to retaining walls.” Struct. Safety, 26(2), 159–179.
Castillo, E., Conejo, A., Pedregal, P., and Garcı´a, R., and Alguacil, N. (2001). “Building and solving mathematical programming models in engineering and science.” Pure and applied mathematics, Wiley–Interscience, New York.
Coastal Engineering Manual. (2002). CECW-EW Publication No. EM 11102-1100, U.S. Army Corps of Engineers, Part II, Vicksburg, Miss.
Coles, S. (2001). An introduction to statistical modeling of extreme values, Springer, New York.
Ditlevsen, O.(1997). “Structural reliability codes for probabilistic design—A debate paper based on elementary reliability and decision analysis concepts.” Struct. Safety, 19(3), 253–270.
Ditlevsen, O., and Madsen, H. O. (1996). Structural reliability methods, Wiley, Chichester, U.K.
Freudenthal, A. N.(1956). “Safety and the probability of structural failure.” Trans. Am. Soc. Civ. Eng., 121, 1337–1397.
Galambos, J. (1987). The asymptotic theory of extreme order statistics, Krieger, Malabar, Fla.
Haskin, F. E., Staple, B. D., and Ding, C.(1996). “Efficient uncertainty analyses using fast probability integration.” Nucl. Eng. Des., 125, 225–248.
Hasofer, A. M., and Lind, N. C.(1974). “Exact and invariant second moment code format.” J. Eng. Mech. Div., Am. Soc. Civ. Eng., 100(1), 111–121.
Losada, M. A. (1990). “Recent development in the design of mound breakwaters.” Handbook of coastal and ocean engineering, J. B. Herbich, ed., Gulf, Vol. I.
Madsen, H. D., Krenk, S., and Lind, N. C. (1986). Methods of structural safety, Prentice–Hall, Englewood Cliffs, N.J.
Martin, F. L., Losada, M. A., and Medina, R.(1999). “Wave loads on rubble-mound breakwater crown walls.” Coastal Eng., 37(2), 149–174.
Permanent International Association of Navigation Congresses (PIANC). (1992). “Analysis of rubble mound breakwaters.” The Int. Navigation Assoc., Maritime Navigation Commission.
Rackwitz, R. (1997). “A concept for deriving partial safety factors for time-variant reliability.” C. Guedes Soares, ed., Proc., ESREL 97, Advances in Safety and Reliability, 2, 1295–1305.
Rackwitz, R., and Fiessler, B.(1978). “Structural reliability under combined load sequences.” J. Comput. Struct. Eng., 9, 489–484.
ROM 0.0. (2001). “General procedure and requirements in the design of harbor and maritime structures.” Puertos del Estado, Madrid, mailto:[email protected].
Vrouwenvelder, T. (2002). “Reliability based code calibration. The use of the JCSS probabilistic model code.” Joint Committee of Structural Safety Workshop on Code Calibration; http://www.jcss.ethz.ch.
Wirsching, P. H., and Wu, Y. T.(1987). “Advanced reliability methods for structural evaluation.” J. Eng. Mech., 109(2), 19–23.
Wu, Y. T., Burnside, O. H., and Cruse, T. A. (1989). “Probabilistic methods for structural response analysis.” Computational mechanics of probabilistic and reliability analysis, W. K. Lam and T. Belytschko, eds., Elmepress International, Annandale, Va., 181–196.

Information & Authors

Information

Published In

Go to Journal of Waterway, Port, Coastal, and Ocean Engineering
Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 130Issue 2March 2004
Pages: 77 - 88

History

Received: Jan 22, 2002
Accepted: Jul 7, 2003
Published online: Feb 19, 2004
Published in print: Mar 2004

Permissions

Request permissions for this article.

Authors

Affiliations

Enrique Castillo
Professor, Dept. of Applied Mathematics and Computational Sciences, Univ. of Cantabria, Avda. Castros s/n, 39005 Santander, Spain.
Miguel A. Losada
Professor, Grupo de Puertos y Costas, CEAMA, Univ. of Granada, Avda. del Mediterráneo s/n, 18071 Granada, Spain.
Roberto Mı´nguez
Assistant Professor, Dept. of Applied Mathematics, Univ. of Castilla–La Mancha, 13071 Ciudad Real, Spain.
Carmen Castillo
Assistant Professor, Grupo de Puertos y Costas, CEAMA, Univ. of Granada, Avda. del Mediterráneo s/n, 18071 Granada, Spain.
Asunción Baquerizo
Assistant Professor, Grupo de Puertos y Costas, CEAMA, Univ. of Granada, Avda. del Mediterráneo s/n, 18071 Granada, Spain.

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