Technical Papers
Sep 27, 2013

New Unified Approach for Aeroelastic Analyses Using Approximate Transfer Functions of Aerodynamic Forces

Publication: Journal of Engineering Mechanics
Volume 140, Issue 4

Abstract

A unified approach for the aeroelastic analysis of bridge decks is presented. The structural aerodynamic transfer functions are approximated using a second-order polynomial with the coefficients determined through minimization of the weighted error between the exact and approximate transfer functions. The exact aeroelastic transfer function is used as the weighting function to define the weighted error. Using the proposed approximation, the dependence of the structural aerodynamic transfer function on frequency is eliminated, and a popular time-marching algorithm is adopted for aeroelastic analysis in the time domain. For the frequency-domain analysis, a complete set of modal frequencies and modal shapes can be evaluated in a single eigenvalue analysis. The efficiency of the analysis is enhanced with the truncated modal decomposition in the structural eigenvector space. The proposed method is verified for an idealized cable-supported structure with two extreme types of deck sections. Approximating the structural aerodynamic transfer function works well, even in the case of a bluff H-type section. The proposed method substantially simplifies the aeroelastic analysis procedure, while yielding consistent results for frequency- and time-domain aeroelastic analyses by using the same equation of motion.

Get full access to this article

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

Acknowledgments

This research was supported by Grant No. 09CCTI-A052531-05-000000 from the Ministry of Land, Transport and Maritime Affairs of the Korean Government through the Core Research Institute at Seoul National University for the Core Engineering Technology Development of Super Long Span Bridge R&D Center.

References

Agar, T. J. A. (1989). “Aerodynamic flutter analysis of suspension bridges by a modal technique.” Eng. Struct., 11(2), 75–82.
Bartoli, G., Contri, S., Mannini, C., and Righi, M. (2009). “Toward an improvement in the identification of bridge deck flutter derivatives.” J. Eng. Mech., 771–785.
Bucher, C. G., and Lin, Y. K. (1988). “Stochastic stability of bridges considering coupled modes.” J. Eng. Mech., 2055–2071.
Caracoglia, L., and Jones, N. P. (2003). “Time domain vs. frequency domain characterization of aeroelastic forces for bridge deck sections.” J. Wind Eng. Ind. Aerodyn., 91(3), 371–402.
Chen, X., Matsumoto, M., and Kareem, A. (2000). “Time domain flutter and buffeting response analysis of bridges.” J. Eng. Mech., 7–16.
Chopra, A. K. (2007). Dynamics of structures, 3rd Ed., Prentice Hall, Englewood Cliffs, NJ.
Ding, Q., and Lee, P. K. K. (2000). “Computer simulation of buffeting actions of suspension bridges under turbulent wind.” Comput. Struct., 6(30), 787–797.
Ernst, H. J. (1965). “Der e-modul von seilen unter berücksichtigung des durchhanges.” Bauingenieur, 40(2), 52–55 (in German).
Jung, K., Kim, H. K., and Lee, H. S. (2012). “Evaluation of impulse response functions for convolution integrals of aerodynamic forces by optimization with a penalty function.” J. Eng. Mech., 519–529.
Katsuchi, H., Jones, N. P., and Scanlan, R. H. (1999). “Multimode coupled flutter and buffeting analysis of the Akashi-Kaikyo Bridge.” J. Struct. Eng., 60–70.
Kim, H. K., Shinozuka, M., and Chang, S. P. (2004). “Geometrically nonlinear buffeting response of a cable-stayed bridge.” J. Eng. Mech., 848–857.
Kim, J. D. and King, J. P. C. (2007). “The development of wind tunnel test technique for an aeroelastic buffeting analysis of long-span bridges.” Korea Wind Engineering Research Center Rep. BLWTL-SS19-2007-DRAFT, Boundary Layer Wind Tunnel Laboratory, Univ. of Western Ontario, Medway, London, ON, Canada.
Matsumoto, M., Niihara, Y., Kobayashi, Y., Shirato, H., and Hamasaki, H. (1995). “Flutter mechanism and its stabilization of bluff bodies.” Proc., 9th Int. Conf. on Wind Engineering, Wiley, New Delhi, India, 827–838.
Matsumoto, M., Okubo, K., Ito, Y., Matsumiya, H., and Kim, G. (2008). “The complex branch characteristics of coupled flutter.” J. Wind Eng. Ind. Aerodyn., 96(10-11), 1843–1855.
Salvatori, L., and Borri, C. (2007). “Frequency- and time-domain methods for the numerical modeling of full-bridge aeroelasticity.” Comput. Struct., 85(11–14), 675–687.
Scanlan, R. H. (1978a). “The action of flexible bridges under wind. I: Flutter theory.” J. Sound Vib., 60(2), 187–199.
Scanlan, R. H. (1978b). “The action of flexible bridges under wind. II: Buffeting theory.” J. Sound Vib., 60(2), 201–211.
Scanlan, R. H., and Tomko, J. J. (1971). “Airfoil and bridge deck flutter derivatives.” J. Engrg. Mech. Div., 97(6), 1717–1737.
Thiesemann, L., Bergmann, D., and Starossek, U. (2003). “Numerical and experimental evaluation of flutter derivatives by means of the forced vibration method.” Proc., 11th Int. Conf. on Wind Engineering, D. A. Smith and C. W. Letchford, eds., Texas Tech Univ., Lubbock, TX, 1571–1578.
Xu, Y. L., Sun, D. K., Ko, J. M., and Lin, J. H. (1998). “Buffeting analysis of long span bridges: A new algorithm.” Comput. Struct., 68(4), 303–313.
Zhang, Z., Chen, Z., Cai, Y., and Ge, Y. (2011). “Indicial functions for bridge aero-elastic forces and time-domain flutter analysis.” J. Bridge Eng., 546–557.
Zienkiewicz, O. C., and Taylor, R. L. (2000). Finite element method, Vol. 1, 5th Ed., Butterworth-Heinemann, Oxford, U.K.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 140Issue 4April 2014

History

Received: Dec 23, 2011
Accepted: Sep 25, 2013
Published online: Sep 27, 2013
Published in print: Apr 1, 2014
Discussion open until: May 26, 2014

Permissions

Request permissions for this article.

Authors

Affiliations

Kilje Jung
Visiting Scholar, Dept. of Civil and Environmental Engineering and Earth Sciences, Univ. of Notre Dame, Notre Dame, IN 46556; formerly, Postdoctoral Research Associate, Dept. of Civil and Environmental Engineering, Seoul National Univ., Seoul National Univ., 1 Gwanak-ro, Gwanak-gu, Seoul 151-742, Korea.
Ho-Kyung Kim, M.ASCE [email protected]
Associate Professor, Dept. of Civil and Environmental Engineering, Seoul National Univ., 1 Gwanak-ro, Gwanak-gu, Seoul 151-742, Korea (corresponding author). E-mail: [email protected]
Hae Sung Lee
Professor, Dept. of Civil and Environmental Engineering, Seoul National Univ., 1 Gwanak-ro, Gwanak-gu, Seoul 151-742, Korea.

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