Technical Papers
Nov 11, 2016

Characterizing Dependence of Extreme Wind Pressures

Publication: Journal of Structural Engineering
Volume 143, Issue 4

Abstract

The prediction of the extreme value of the wind pressure receives significant attention from the wind engineering community. However, the correlation among extreme wind pressures associated with different locations on the building surface is less addressed. In this study, the characterization of the dependence structure of extreme wind pressures and its application to roofing damage estimation are presented. First, three methods to model the dependence structure of extreme wind pressures, including multivariate extreme value theory, copula function, and Nataf transformation, are reviewed. Then, the asymptotic property of the bivariate non-Gaussian random vector will be established and the partial correlation for the data within finite duration is discussed. Furthermore, the dependence structure and asymptotical properties of extreme wind pressure coefficients are investigated based on the very long wind tunnel data. The correlation of extreme pressures considering the randomness of the annual maximum mean wind speed is also addressed. Finally, the application of the correlation of extreme wind pressures on the damage estimation for the asphalt shingle roofing is discussed.

Get full access to this article

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

Acknowledgments

The support from the National Natural Science Foundation of China (Grant Nos. 51578471 and 51478401) is greatly acknowledged. The authors are very grateful for the wind pressure data produced by the University of Western Ontario and provided by the University of Florida through NSF grant CMMI-0928563.

References

Akaike, H. (1974). “A new look at the statistical model identification.” IEEE Trans. Automat. Control, 19(6), 716–723.
Beirlant, J., Goegebeur, Y., Segers, J., and Teugels, J. (2004). Statistics of extremes: Theory and applications. Wiley, Chichester, U.K.
Bienkiewicz, B., and Sun, Y. (1992). “Local wind loading on the roof of a low-rise building.” J. Wind Eng. Ind. Aerodyn., 45(1), 11–24.
Chen, X., and Huang, G. (2009). “Evaluation of peak resultant response for wind-excited tall buildings.” Eng. Struct., 31(4), 858–868.
Chen, X., and Huang, G. (2010). “Estimation of probabilistic extreme wind load effects: Combination of aerodynamic and wind climate data.” J. Eng. Mech., 747–760.
Choi, M., and Sweetman, B. (2010). “The Hermite moment model for highly skewed response with application to tension leg platforms.” J. Offshore Mech. Arct. Eng., 132(2), 021602.
Cook, N. J., and Mayne, J. R. (1979). “A novel working approach to the assessment of wind loads for equivalent static design.” J. Ind. Aerodyn., 4(2), 149–164.
Cope, A. D., Gurley, K. R., Gioffre, M., and Reinhold, T. A. (2005). “Low-rise gable roof wind loads: Characterization and stochastic simulation.” J. Wind Eng. Ind. Aerodyn., 93(9), 719–738.
De Haan, L., and Ferreira, A. (2006). Extreme value theory: An introduction, Springer, New York.
Ding, J., and Chen, X. (2014). “Assessment of methods for extreme value analysis of non-Gaussian wind effects with short-term time history samples.” Eng. Struct., 80, 75–88.
Dyrbye, C., and Hansen, S. O. (1997). Wind loads on structures, Wiley, Chichester, U.K.
Gioffre, M., Gusella, V., and Grigoriu, M. (2000). “Simulation of non-Gaussian field applied to wind pressure fluctuations.” Probab. Eng. Mech., 15(4), 339–345.
Holmes, J. D., and Cochran, L. S. (2003). “Probability distributions of extreme pressure coefficients.” J. Wind Eng. Ind. Aerodyn., 91(7), 893–901.
Huang, G., He, H., Mehta, K. C., and Liu, X. (2015). “Data-based probabilistic damage estimation for asphalt shingle roofing.” J. Struct. Eng., .
Huang, G., Ji, X., Luo, Y., and Gurley, K. R. (2016a). “Damage estimation of roof panels considering wind loading correlation.” J. Wind Eng. Ind. Aerodyn., 155, 141–148.
Huang, G., Luo, Y., Gurley, K. R., and Ding, J. (2016b). “Revisiting moment-based characterization for wind pressures.” J. Wind Eng. Ind. Aerodyn., 151, 158–168.
Huang, M., Lou, W., Chan, C. M., Lin, N., and Pan, X. (2013). “Peak distributions and peak factors of wind-induced pressure processes on tall buildings.” J. Eng. Mech., 1744–1756.
Itoi, T., and Kanda, J. (2002). “Comparison of correlated Gumbel probability models for directional maximum wind speeds.” J. Wind Eng. Ind. Aerodyn., 90(12), 1631–1644.
Jaworski, P., Durante, F., Hardle, W. K., and Rychlik, T. (2010). Copula theory and its applications, Springer, New York.
Kasperski, M. (2003). “Specification of the design wind load based on wind tunnel experiments.” J. Wind Eng. Ind. Aerodyn., 91(4), 527–541.
Kotz, S., and Nadarajah, S. (2000). Extreme value distributions, Imperial College Press, London.
Kumar, K. S., and Stathopoulos, T. (2000). “Wind loads on low building roofs: A stochastic perspective.” J. Struct. Eng., 944–956.
Kwon, D. K., and Kareem, A. (2011). “Peak factors for non-Gaussian load effects revisited.” J. Struct. Eng., 1611–1619.
Ledford, A. W., and Tawn, J. A. (1996). “Statistics for near independence in multivariate extreme values.” Biometrika, 83(1), 169–187.
Li, Q., Calderone, I., and Melbourne, W. H. (1999). “Probabilistic characteristics of pressure fluctuations in separated and reattaching flows for various free-stream turbulence.” J. Wind Eng. Ind. Aerodyn., 82(1), 125–145.
Liu, P., and Der Kiureghian, A. (1986). “Multivariate distribution models with prescribed marginals and covariances.” Probab. Eng. Mech., 1(2), 105–112.
Matsumoto, M., Shirato, H., Araki, K., Haramura, T., and Hashimoto, T. (2003). “Spanwise coherence characteristics of surface pressure field on 2-D bluff bodies.” J. Wind Eng. Ind. Aerodyn., 91(1), 155–163.
Nelsen, R. B. (2006). An introduction to copulas, Springer, New York.
Peng, X., Yang, L., Gavanski, E., Gurley, K., and Prevatt, D. (2014). “A comparison of methods to estimate peak wind loads on buildings.” J. Wind Eng. Ind. Aerodyn., 126, 11–23.
Peterka, J. A., and Cermak, J. E. (1975). “Wind pressures on buildings-probability densities.” J. Struct. Div., 101(6), 1255–1267.
Renard, B., and Lang, M. (2007). “Use of a Gaussian copula for multivariate extreme value analysis: Some case studies in hydrology.” Adv. Water Resour., 30(4), 897–912.
Sadek, F., and Simiu, E. (2002). “Peak non-Gaussian wind effects for database-assisted low-rise building design.” J. Eng. Mech., 530–539.
Schwarz, G. (1978). “Estimating the dimension of a model.” Ann. Stat., 6(2), 461–464.
Sibuya, M. (1959). “Bivariate extreme statistics.” Ann. Inst. Stat. Math., 11(2), 195–210.
Simiu, E., and Filliben, J. J. (1981). “Wind direction effects on cladding and structural loads.” Eng. Struct., 3(3), 181–186.
Simiu, E., and Scanlan, R. H. (1996). Wind effects on structures: Fundamentals and applications to design, 3rd Ed., Wiley, New York.
Sklar, A. (1959). “Fonctions de répartition à n dimensions et leurs marges.” Université Paris 8, Saint-Denis, France.
Stathopoulos, T. (1980). “PDF of wind pressures on low-rise buildings.” J. Struct. Div., 106(5), 973–990.
Stathopoulos, T. (1984). “Wind loads on low-rise buildings: A review of the state of the art.” Eng. Struct., 6(2), 119–135.
Winterstein, S. R. (1988). “Nonlinear vibration models for extremes and fatigue.” J. Eng. Mech., 1772–1790.
Zhang, X., and Chen, X. (2016). “Influence of dependence of directional extreme wind speeds on wind load effects with various mean recurrence intervals.” J. Wind Eng. Ind. Aerodyn., 148, 45–56.

Information & Authors

Information

Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 143Issue 4April 2017

History

Received: May 5, 2016
Accepted: Sep 14, 2016
Published online: Nov 11, 2016
Published in print: Apr 1, 2017
Discussion open until: Apr 11, 2017

Permissions

Request permissions for this article.

Authors

Affiliations

Ying Luo
Ph.D. Student, School of Civil Engineering, Southwest Jiaotong Univ., Chengdu 610031, China.
Guoqing Huang [email protected]
Professor, School of Civil Engineering, Southwest Jiaotong Univ., Chengdu 610031, China (corresponding author). E-mail: [email protected]

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