Concept and optimization of SMA dampers to control the first three natural vibration modes in cable-stayed bridges

Author affiliations

Authors

  • Hoang Ngoc Quy \(^1\) Institute of Mechanics, Vietnam Academy of Science and Technology, 18 Hoang Quoc Viet, Nghia Do Ward, Ha Noi, Viet Nam<br> \(^2\) Faculty of Civil Engineering, VNU University of Engineering and Technology, 144 Xuan Thuy, Cau Giay Ward, Ha Noi, Viet Nam<br> https://orcid.org/0009-0002-0372-1914
  • Nguyen Van Duy \(^2\) Faculty of Civil Engineering, VNU University of Engineering and Technology, 144 Xuan Thuy, Cau Giay Ward, Ha Noi, Viet Nam https://orcid.org/0009-0009-8078-2690
  • TruongGiang Nguyen \(^1\) Institute of Mechanics, Vietnam Academy of Science and Technology, 18 Hoang Quoc Viet, Nghia Do Ward, Ha Noi, Viet Nam<br>\(^3\) Faculty of Engineering Mechanics and Automation, VNU University of Engineering and Technology, 144 Xuan Thuy, Cau Giay Ward, Ha Noi, Viet Nam https://orcid.org/0009-0001-2421-2716

DOI:

https://doi.org/10.15625/2525-2518/22041

Keywords:

shape memory alloy, martensitic phase transformation, superelastic, vibration, damper

Abstract

Cable-stayed bridges are often subjected to cable vibrations caused by wind, traffic, and other dynamic loads, which can significantly reduce their structural lifespan. To address this issue, our study proposes a two-floor damping design that leverages the superelasticity and superior energy dissipation capabilities of shape memory alloys (SMA). A simplified constitutive model was developed to simulate the superelastic behavior of SMA, optimizing critical parameters such as length, diameter, and installation position on cable-stayed bridges. Through simulations and dynamic response analysis, the SMA damper demonstrated exceptional effectiveness in dissipating energy across various vibration modes, significantly enhancing structural stability. Furthermore, this paper highlights the advantages of the two-floor SMA damper in mitigating cable vibrations under diverse oscillation modes and identifies an optimal set of parameters for practical installation, contributing to cost efficiency and extended bridge lifespan. A comparison with Tuned Mass Damper (TMD) results is also carried out to evaluate the damping efficiency of the SMA device.

Downloads

Download data is not yet available.

References

1. Xu Y. L., Zhu L. D., Wong K. Y., Chan K. W. Y. - Field measurement results of Tsing Ma suspension Bridge during Typhoon Victor. Struct. Eng. Mech., 10(6) (2000) 545-559. https://doi.org/10.12989/sem.2000.10.6.545.

2. Matsumoto M., Shiraishi N., Shirato H. - Rain-wind induced vibration of cables of cable-stayed bridges. J. Wind Eng. Ind. Aerodyn., 43(1-3) (1992) 2011-2022. https://doi.org/10.1016/0167-6105(92)90628-n.

3. Kareem A., Kline S. - Performance of Multiple Mass Dampers under Random Loading. J. Struct. Eng., 121(2) (1995) 348-361. https://doi.org/10.1061/(asce)0733-9445(1995)121:2(348).

4. Spencer B. F., Nagarajaiah S. - State of the Art of Structural Control. J. Struct. Eng., 129(7) (2003) 845-856. https://doi.org/10.1061/(asce)0733-9445(2003)129:7(845).

5. Xu Y. L., Xia Y. - Structural Health Monitoring of Long-Span Suspension Bridges. CRC Press, (2011). https://doi.org/10.1201/b13182.

6. Liu Y., van Humbeeck J. - On the Damping Behaviour of Niti Shape Memory Alloy. J. Phys. IV, 07(C5) (1997) C5-519-C515-524. https://doi.org/10.1051/jp4:1997582.

7. Lagoudas D. C. - Shape memory alloys. Science and Business Media, LLC., (2008).

8. Pan Q., Cho C. - Proceedings of the 17th International Metallurgical and Materials Conference METAL, (2008)

9. Lv H., Huang B. - Parametric study of a new tuned mass damper with pre-strained SMA helical springs for vibration reduction. Smart Struct. Syst., 31(1) (2023) 89-100.

10. Desroches R., Smith B. - Shape Memory Alloys in Seismic Resistant Design and Retrofit: A Critical Review of Their Potential and Limitations. J. Earthq. Eng., 8(3) (2008) 415-429. https://doi.org/10.1080/13632460409350495.

11. Rajoriya S., Mishra S. S. - Application of SMA wire in vibration mitigation of bridge stay cable: a state-of-the-art review. Innov. Infrastruct. Solut., 7(3) (2022) 192. https://doi.org/10.1007/s41062-021-00733-4.

12. Dolce M., Cardone D., Marnetto R. - Implementation and testing of passive control devices based on shape memory alloys. Earthq. Eng. Struct. Dyn., 29(7) (2000) 945-968. https://doi.org/10.1002/1096-9845(200007)29:7%3C945::AID-EQE958%3E3.0.CO;2-%23.

13. Machado L. G., Savi M. A. - Medical applications of shape memory alloys. Braz. J. Med. Biol. Res., 36(6) (2003) 683-691. https://doi.org/10.1590/s0100-879x2003000600001.

14. Helbert G., Dieng L., Arbab Chirani S., Saint-Sulpice L., Lecompte T., Calloch S., Pilvin P. - Investigation of NiTi based damper effects in bridge cables vibration response: Damping capacity and stiffness changes. Eng. Struct., 165 (2018) 184-197. https://doi.org/10.1016/j.engstruct.2018.02.087.

15. Huang H., Mosalam K. M., Chang W.-S. - Adaptive tuned mass damper with shape memory alloy for seismic application. Eng. Struct., 223 (2020) 111171. https://doi.org/10.1016/j.engstruct.2020.111171.

16. Hoang N. Q., Haidang P., Phan D. H., TruongGiang N. - Proceedings of the 11th National Conference on Mechanics, Vietnam Association of Mechanics, (2022) 474-484.

17. Auricchio F., Sacco E. - A one-dimensional model for superelastic shape-memory alloys with different elastic properties between austenite and martensite. Int. J. Non-Linear Mech., 32(6) (1997) 1101-1114. https://doi.org/10.1016/s0020-7462(96)00130-8.

18. Ben Mekki O., Auricchio F. - Performance evaluation of shape-memory-alloy superelastic behavior to control a stay cable in cable-stayed bridges. Int. J. Non-Linear Mech., 46(2) (2011) 470-477. https://doi.org/10.1016/j.ijnonlinmec.2010.12.002.

19. Rajoriya S., Mishra S. S. - International Symposium on Plasticity and Impact Mechanics, Springer Nature Singapore, (2022) 205-219. https://doi.org/10.1007/978-981-99-6255-6_18.

20. Irvine H. M. - Cable Structures. The MIT Press, Cambridge, MA (1981).

21. Soltane S., Mekki O. B., Montassar S. - Optimal Design of a Passive SMA Damper to Control Multi-modal Stay Cable Vibrations. J. Vib. Eng. Technol., 11(3) (2022) 1343-1358. https://doi.org/10.1007/s42417-022-00644-3.

22. Fugazza D. - Use of shape-memory alloy devices in earthquake engineering: Mechanical properties, advanced constitutive modelling and structural applications. Doctoral dissertation Thesis, Università degli Studi di Pavia (2005).

Downloads

Published

01-08-2025

How to Cite

[1]
H. Ngoc Quy, N. V. Duy, and T. Nguyen, “Concept and optimization of SMA dampers to control the first three natural vibration modes in cable-stayed bridges”, Vietnam J. Sci. Technol., vol. 64, no. 1, pp. 175–188, Aug. 2025.

Issue

Vol. 64 No. 1 (2026)

Section

Mechanical Engineering - Mechatronics

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

Vietnam Journal of Sciences and Technology (VJST) is an open access and peer-reviewed journal. All academic publications could be made free to read and downloaded for everyone. In addition, articles are published under term of the Creative Commons Attribution-ShareAlike 4.0 International (CC BY-SA) Licence which permits use, distribution and reproduction in any medium, provided the original work is properly cited & ShareAlike terms followed.

Copyright on any research article published in VJST is retained by the respective author(s), without restrictions. Authors grant VAST Journals System a license to publish the article and identify itself as the original publisher. Upon author(s) by giving permission to VJST either via VJST journal portal or other channel to publish their research work in VJST agrees to all the terms and conditions of https://creativecommons.org/licenses/by-sa/4.0/ License and terms & condition set by VJST.

Authors have the responsibility of to secure all necessary copyright permissions for the use of 3rd-party materials in their manuscript.

Funding data

Most read articles by the same author(s)

Similar Articles

<< < 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 > >> 

You may also start an advanced similarity search for this article.