Technical Papers
Mar 9, 2023

Tuned Mass Damper Design for Vortex-Induced Vibration Control of a Bridge: Influence of Vortex-Induced Force Model

Publication: Journal of Bridge Engineering
Volume 28, Issue 5

Abstract

Existing studies optimized the tuned mass damper (TMD) for vortex-induced vibration (VIV) control of bridges based on an empirical linear model or Scanlan’s nonlinear model, which cannot accurately simulate the effect of the vortex-induced force and hence results in a TMD design that lacks effectiveness or robustness. Four vortex-induced force models are considered to systematically analyze the influence of force models on TMD design for VIV control. The design results based on various vortex-induced force models, as well as three design formulas, are compared in terms of effectiveness and robustness. Numerical results suggest that the empirical linear model and Scanlan’s nonlinear model significantly underestimate the TMD mass ratio required to suppress the VIV amplitude to be lower than a threshold. The empirical linear model may overestimate the robustness of the TMD to changing the frequency ratio, while Scanlan’s nonlinear model may overestimate or underestimate the robustness depending on the threshold VIV amplitude. The TMD design based on the polynomial model is considered more accurate since it can accurately predict VIV responses at various effective damping levels. The aerodynamic envelope model can be used as a convenient model for TMD optimization. The results generated using the free vibration formula are the closest to that of the polynomial model. An appropriate safety factor should be considered to convert the TMD design based on sectional model experiments to real bridges.

Get full access to this article

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

Data Availability Statement

Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request (Figs. 2–17 are available).

Acknowledgments

This study was supported by the National Key R&D Program of China (2021YFC3100702), National Natural Science Foundation of China (51978130, 52208473, and 52108451), and Shenzhen Key Laboratory Launching Project (ZDSYS20200810113601005).

References

Andersen, L., N. W. Birch, A. H. Hansen, and J. O. Skibelund. 2001. “Response analysis of tuned mass dampers to structures exposed to vortex loading of simiu–scanlan type.” J. Sound Vib. 239 (2): 217–231. https://doi.org/10.1006/jsvi.2000.3170.
Bai, H., N. Ji, G. Xu, and J. Li. 2020. “An alternative aerodynamic mitigation measure for improving bridge flutter and vortex induced vibration (VIV) stability: Sealed traffic barrier.” J. Wind Eng. Ind. Aerodyn. 206: 104302. https://doi.org/10.1016/j.jweia.2020.104302.
Bai, H., R. Li, G. Xu, and A. Kareem. 2021. “Aerodynamic performance of Π-shaped composite deck cable-stayed bridges including VIV mitigation measures.” J. Wind Eng. Ind. Aerodyn. 208: 104451. https://doi.org/10.1016/j.jweia.2020.104451.
Battista, R. C., and M. S. Pfeil. 2000. “Reduction of vortex-induced oscillations of Rio–Niterói bridge by dynamic control devices.” J. Wind Eng. Ind. Aerodyn. 84 (3): 273–288. https://doi.org/10.1016/S0167-6105(99)00108-7.
Dai, J., Z. D. Xu, and P. P. Gai. 2019a. “Tuned mass-damper-inerter control of wind-induced vibration of flexible structures based on inerter location.” Eng. Struct. 199: 109585. https://doi.org/10.1016/j.engstruct.2019.109585.
Dai, J., Z. D. Xu, and P. P. Gai. 2020. “Parameter determination of the tuned mass damper mitigating the vortex-induced vibration in bridges.” Eng. Struct. 221: 111084. https://doi.org/10.1016/j.engstruct.2020.111084.
Dai, J., Z. D. Xu, X. J. Yin, P. P. Gai, and Y. Luo. 2019b. “Parameters design of TMD mitigating vortex-induced vibration of the Hong Kong–Zhuhai–Macao Bridge deep-water nonnavigable bridge.” J. Bridge Eng. 24 (8): 06019005. https://doi.org/10.1061/(ASCE)BE.1943-5592.0001450.
Den-Hartog, J. P. 1985. Mechanical vibrations. Chelmsford, MA: Courier Corporation.
Diana, G., F. Resta, M. Belloli, and D. Rocchi. 2006. “On the vortex shedding forcing on suspension bridge deck.” J. Wind Eng. Ind. Aerodyn. 94 (5): 341–363. https://doi.org/10.1016/j.jweia.2006.01.017.
Ehsan, F., and R. H. Scanlan. 1990. “Vortex-induced vibrations of flexible bridges.” J. Eng. Mech. 116 (6): 1392–1411.
Fujino, Y., and M. Abé. 1993. “Design formulas for tuned mass dampers based on a perturbation technique.” Earthquake Eng. Struct. Dyn. 22 (10): 833–854. https://doi.org/10.1002/eqe.4290221002.
Fujino, Y., and Y. Yoshida. 2002. “Wind-induced vibration and control of Trans-Tokyo Bay crossing bridge.” J. Struct. Eng. 128 (8): 1012–1025. https://doi.org/10.1061/(ASCE)0733-9445(2002)128:8(1012).
Ge, Y., L. Zhao, and J. Cao. 2022. “Case study of vortex-induced vibration and mitigation mechanism for a long-span suspension bridge.” J. Wind Eng. Ind. Aerodyn. 220: 104866. https://doi.org/10.1016/j.jweia.2021.104866.
Goswami, I., R. H. Scanlan, and N. P. Jones. 1993. “Vortex-induced vibration of circular cylinders. II: New model.” J. Eng. Mech. 119 (11): 2288–2302.
Guo, A., Q. Fang, X. Bai, and H. Li. 2015. “Hydrodynamic experiment of the wave force acting on the superstructures of coastal bridges.” J. Bridge Eng. 20 (12): 04015012. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000758.
Kim, S., J. Park, and H. K. Kim. 2017. “Damping identification and serviceability assessment of a cable-stayed bridge based on operational monitoring data.” J. Bridge Eng. 22 (3): 04016123. https://doi.org/10.1061/(ASCE)BE.1943-5592.0001004.
Laima, S., H. Li, W. Chen, and F. Li. 2013. “Investigation and control of vortex-induced vibration of twin box girders.” J. Fluids Struct. 39: 205–221. https://doi.org/10.1016/j.jfluidstructs.2012.10.009.
Larose, G. L., A. Larsen, and E. Svensson. 1995. “Modelling of tuned mass dampers for wind-tunnel tests on a full-bridge aeroelastic model.” J. Wind Eng. Ind. Aerodyn. 54–55: 427–437. https://doi.org/10.1016/0167-6105(94)00058-L.
Larsen, A. 1995. “A generalized model for assessment of vortex-induced vibrations of flexible structures.” J. Wind Eng. Ind. Aerodyn. 57 (2–3): 281–294. https://doi.org/10.1016/0167-6105(95)00008-F.
Larsen, A., S. Esdahl, J. E. Andersen, and T. Vejrum. 2000. “Storebælt suspension bridge–Vortex shedding excitation and mitigation by guide vanes.” J. Wind Eng. Ind. Aerodyn. 88 (2–3): 283–296. https://doi.org/10.1016/S0167-6105(00)00054-4.
Larsen, A., E. Svensson, and H. Andersen. 1995. “Design aspects of tuned mass dampers for the Great Belt East Bridge approach spans.” J. Wind Eng. Ind. Aerodyn. 54: 413–426. https://doi.org/10.1016/0167-6105(94)00057-K.
Li, H., S. Laima, Q. Zhang, N. Li, and Z. Liu. 2014. “Field monitoring and validation of vortex-induced vibrations of a long-span suspension bridge.” J. Wind Eng. Ind. Aerodyn. 124: 54–67. https://doi.org/10.1016/j.jweia.2013.11.006.
Li, S., S. Laima, and H. Li. 2018. “Data-driven modeling of vortex-induced vibration of a long-span suspension bridge using decision tree learning and support vector regression.” J. Wind Eng. Ind. Aerodyn. 172: 196–211. https://doi.org/10.1016/j.jweia.2017.10.022.
Li, M., Y. Sun, H. Jing, and M. Li. 2018. “Vortex-induced vibration optimization of a wide streamline box girder by wind tunnel test.” KSCE J. Civ. Eng. 22 (12): 5143–5153. https://doi.org/10.1007/s12205-018-0548-y.
Macdonald, J. H., P. A. Irwin, and M. S. Fletcher. 2002. “Vortex-induced vibrations of the Second Severn Crossing cable-stayed bridge—full-scale and wind tunnel measurements.” Proc. Inst. Civ. Eng. Struct. Build. 152 (2): 123–134.
Marra, A. M., C. Mannini, and G. Bartoli. 2015. “Measurements and improved model of vortex-induced vibration for an elongated rectangular cylinder.” J. Wind Eng. Ind. Aerodyn. 147: 358–367. https://doi.org/10.1016/j.jweia.2015.08.007.
Meinhardt, C., X. Yin, Y. Luo, and X. Gao. 2014. “Enhancement of the Chong Qi Bridge Project girder sections to reduce vortex shedding induced oscillations by applying passive Tuned Mass Damper Systems.” In Proc., 9th Int. Conf. on Structural Dynamics, EURODYN. Germany: European Association for Structural Dynamics (EASD).
Montoya, M. C., J. P. C. King, L. Kong, F. Nieto, and S. Hernández. 2017. “A method for improving the dynamic response of full bridge reduced-scale models in aeroelastic wind tunnel tests by using optimization algorithms.” J. Wind Eng. Ind. Aerodyn. 167: 198–216. https://doi.org/10.1016/j.jweia.2017.04.003.
MoT (Ministry of Transport). 2018. Wind-resistent design specification for highway bridges. JTG/T 3360-01-2018. [In Chinese.] Beijing: MoT.
Owen, J. S., A. M. Vann, J. P. Davies, and A. Blakeborough. 1996. “The prototype testing of Kessock bridge: Response to vortex shedding.” J. Wind Eng. Ind. Aerodyn. 60: 91–108. https://doi.org/10.1016/0167-6105(96)00026-8.
Rowbottom, M. 1981. “The optimization of mechanical dampers to control self-excited galloping oscillations.” J. Sound Vib. 75 (4): 559–576. https://doi.org/10.1016/0022-460X(81)90442-9.
Scanlan, R. H. 1981. State-of-the-art methods for calculating flutter, vortex-induced, and buffeting response of bridge structures. Technical Rep. FHWA/RD-80/050. Springfield, VA: National Technical Information Service.
Scanlan, R. H. 1998. “Bridge flutter derivatives at vortex lock-in.” J. Struct. Eng. 124 (4): 450–458. https://doi.org/10.1061/(ASCE)0733-9445(1998)124:4(450).
Strommen, E., and E. Hjorth-Hansen. 2001. “On the use of tuned mass dampers to suppress vortex shedding induced vibrations.” Wind Struct. 4 (1): 19–30. https://doi.org/10.12989/was.2001.4.1.019.
Wang, W., X. Wang, X. Hua, G. Song, and Z. Chen. 2018. “Vibration control of vortex-induced vibrations of a bridge deck by a single-side pounding tuned mass damper.” Eng. Struct. 173: 61–75. https://doi.org/10.1016/j.engstruct.2018.06.099.
Wu, T., and A. Kareem. 2013. “Vortex-induced vibration of bridge decks: Volterra series-based model.” J. Eng. Mech. 139 (12): 1831–1843.
Xu, K., K. Bi, Q. Han, X. Li, and X. Du. 2019. “Using tuned mass damper inerter to mitigate vortex-induced vibration of long-span bridges: Analytical study.” Eng. Struct. 182: 101–111. https://doi.org/10.1016/j.engstruct.2018.12.067.
Xu, K., Y. Ge, and L. Zhao. 2020. “Quantitative evaluation of empirical models of vortex-induced vibration of bridge decks through sectional model wind tunnel testing.” Eng. Struct. 219: 110860. https://doi.org/10.1016/j.engstruct.2020.110860.
Zhang, M., F. Xu, and O. Øiseth. 2020. “Aerodynamic damping models for vortex-induced vibration of a rectangular 4: 1 cylinder: Comparison of modeling schemes.” J. Wind Eng. Ind. Aerodyn. 205: 104321. https://doi.org/10.1016/j.jweia.2020.104321.
Zhang, M., F. Xu, and H. Yu. 2021. “A simplified model to evaluate peak amplitude for vertical vortex-induced vibration of bridge decks.” Int. J. Mech. Sci. 192: 106145. https://doi.org/10.1016/j.ijmecsci.2020.106145.
Zhang, Z., Y. Ge, and Z. Chen. 2014. “Vortex-induced oscillations of bridges: Theoretical linkages between sectional model tests and full bridge responses.” Wind Struct. 19 (3): 233–247. https://doi.org/10.12989/was.2014.19.3.233.
Zhou, S., X. G. Hua, Z. Q. Chen, and W. Chen. 2017. “Experimental investigation of correction factor for VIV amplitude of flexible bridges from an aeroelastic model and its 1: 1 section model.” Eng. Struct. 141: 263–271. https://doi.org/10.1016/j.engstruct.2017.03.023.

Information & Authors

Information

Published In

Go to Journal of Bridge Engineering
Journal of Bridge Engineering
Volume 28Issue 5May 2023

History

Received: Jul 19, 2022
Accepted: Dec 3, 2022
Published online: Mar 9, 2023
Published in print: May 1, 2023
Discussion open until: Aug 9, 2023

Permissions

Request permissions for this article.

Authors

Affiliations

Haiyan Yu, Ph.D.
School of Civil and Environmental Engineering, Harbin Institute of Technology, Shenzhen 518055, China.
Ole Øiseth
Professor, Dept. of Structural Engineering, Norwegian Univ. of Science and Technology, Trondheim 7491, Norway.
Mingjie Zhang, Ph.D.
Dept. of Structural Engineering, Norwegian Univ. of Science and Technology, Trondheim 7491, Norway.
Fuyou Xu
Professor, School of Civil Engineering, Dalian Univ. of Technology, Dalian 116024, China.
Professor, School of Civil and Environmental Engineering, Harbin Institute of Technology, Shenzhen 518055, China (corresponding author). ORCID: https://orcid.org/0000-0001-6284-0812. Email: [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.

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