Skip to main content

Advertisement

Log in

Application of SMA wire in vibration mitigation of bridge stay cable: a state-of-the-art review

  • Review
  • Published:
Innovative Infrastructure Solutions Aims and scope Submit manuscript

This article has been updated

Abstract

Stay cables in cable-stayed bridges experience vibrations due to wind, rain, and traffic-induced excitations and may suffer fatigue damage. Shape memory alloy (SMA) material can protect cable damages from fatigue issues. This paper summarizes the applications and effectiveness of SMAs for mitigating cable vibration. SMA wires have greatly enhanced the performance of cable structures because of its super-elasticity and shape memory effect. SMA wire hysteresis behavior is analyzed on Mechanical ANSYS Parametric Design Language in order to obtain the stress–strain response. Because of the above properties, shape memory alloy wires exhibit large hysteresis loops under cyclic loadings with negligible or no residual strains. The effect of temperature under the influence of loading was also studied. The ambient temperature has its marked effect on the superelasticity and shape memory behaviors. It is concluded that the passive dampers made of the shape memory alloy Ni–Ti wire quashes the stay cable vibration effectively. It is expected that the information collected in this paper would serve as a repository of information for SMA damper. An artistic view of a SMA damper has been presented. The future research would focus to develop an improved SMA-based damper, which may be effective in quashing the vibration effects developed by wind or earthquake.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13

Similar content being viewed by others

Code availability

Software application (ANSYS-APDL).

Change history

  • 13 May 2022

    The missing funding note “Open Access funding enabled and organized by Projekt DEAL.” has been added now.

References

  1. Li H, Liu M, Ou J (2004) Vibration mitigation of a stay cable with one shape memory alloy damper. Struct Control Heal Monit 11:21–36. https://doi.org/10.1002/stc.29

    Article  Google Scholar 

  2. Fujino Y, Siringoringo D (2013) Vibration mechanisms and controls of long-span bridges: a review. In: Structural engineering international

  3. Irvine H, Caughey TK (1974) The linear theory of free vibrations of a suspended cable. Proc R Soc Lond A Math Phys Sci 341:299–315

    Google Scholar 

  4. Irvine HM (1981) Cable structures, mit press, cambridge, mass, Structures structural mechanics

  5. Susumpow T, Fujino Y (1995) Active control of multimodal cable vibrations by axial support motion. J Eng Mech 121:964–972. https://doi.org/10.1061/(asce)0733-9399(1995)121:9(964)

    Article  Google Scholar 

  6. Johnson EA, Baker GA, Spencer BF, Fujino Y (2007) Semiactive damping of stay cables. J Eng Mech 133:1–11. https://doi.org/10.1061/(asce)0733-9399(2007)133:1(1)

    Article  Google Scholar 

  7. Housner GW, Bergman LA, Caughey TK et al (1997) Structural control: past, present, and future. J Eng Mech 123:897–971. https://doi.org/10.1061/(asce)0733-9399(1997)123:9(897)

    Article  Google Scholar 

  8. Soltane S, Mekki OB, Montassar S, Auricchio F (2010) Damping stay-cable transverse vibration using shape memory alloys and magneto rheological dampers. Adv Geomater Struct 9:135–140

    Google Scholar 

  9. Wu WJ, Cai CS (2006) Experimental study of magnetorheological dampers and application to cable vibration control. J Vib Control 12:67–82. https://doi.org/10.1177/1077546306061128

    Article  Google Scholar 

  10. Cai CS, Wu WJ, Shi XM (2006) Cable vibration reduction with a hung-on TMD system. Part I: Theoretical study. JVC/Journal Vib Control 12:801–814. https://doi.org/10.1177/1077546306065857

    Article  Google Scholar 

  11. Cai CS, Wu WJ, Araujo M (2007) Cable vibration control with a TMD-MR damper system: experimental exploration. J Struct Eng 133:629–637. https://doi.org/10.1061/(asce)0733-9445(2007)133:5(629)

    Article  Google Scholar 

  12. Casciati F, Ubertini F (2008) Nonlinear vibration of shallow cables with semiactive tuned mass damper. Nonlinear Dyn 53:89–106. https://doi.org/10.1007/s11071-007-9298-y

    Article  Google Scholar 

  13. Javanmardi A, Ghaedi K, Huang F et al (2021) Application of structural control systems for the cables of cable-stayed bridges: state-of-the-art and state-of-the-practice. Arch Comput Methods Eng 18:1-31. https://doi.org/10.1007/S11831-021-09632-4

    Article  Google Scholar 

  14. Hoang N, Fujino Y (2009) Multi-mode control performance of nonlinear dampers in stay cable vibrations. Struct Control Heal Monit Off J Int Assoc Struct Control Monit Eur Assoc Control Struct 16(7–8):860–868. https://doi.org/10.1002/STC.364

    Article  Google Scholar 

  15. Gao H, Wang H, Li J et al (2021) Optimum design of viscous inerter damper targeting multi-mode vibration mitigation of stay cables. Eng Struct 226:111375

    Article  Google Scholar 

  16. Zhou HJ, Xu YL (2007) Wind–rain-induced vibration and control of stay cables in a cable-stayed bridge. Struct Control Heal Monit Off J Int Assoc Struct Control Monit Eur Assoc Control Struct 14:1013–1033. https://doi.org/10.1002/stc.190

    Article  Google Scholar 

  17. Zuo D, Caracoglia L, Jones NP (2007) Assessment of cross-tie performance in mitigating wind and rain-wind-induced stay cable vibrations. In: Proceedings of twelfth international conference on wind engineering, pp 903–910

  18. Zhang N, Chang R, Gu Q (2021) Response sensitivity studies of a cable-stayed bridge with shape memory alloy damping system considering temperature effects. Eng Struct 244:112772. https://doi.org/10.1016/j.engstruct.2021.112772

    Article  Google Scholar 

  19. Soe TTT, Khaing SY (2020) Evaluation of cable force changes effects on cable stayed bridge. Civ Eng J 6:2159–2174

    Article  Google Scholar 

  20. Jensen CN, Nielsen SR, Sørensen JD (2002) Optimal damping of stays in cable-stayed bridges for in-plane vibrations. J Sound Vib 256:499–513

    Article  Google Scholar 

  21. Ahmadinejad M, Jafarisirizi A, Rahgozar R (2020) Effects of shape memory alloys on response of steel structural buildings within near field earthquakes zone. Civ Eng J 6:1314–1327

    Article  Google Scholar 

  22. Qian H, Li H, Song G, Guo W (2013a) A constitutive model for superelastic shape memory alloys considering the influence of strain rate. Math Probl Eng

  23. Qian H, Li H, Song G, Guo W (2013b) Recentering shape memory alloy passive damper for structural vibration control 2013

  24. Doraiswamy S, Rao A, Srinivasa AR (2011) Combining thermodynamic principles with Preisach models for superelastic shape memory alloy wires. Smart Mater Struct 20:085032

    Article  Google Scholar 

  25. Ölander A (1932) An electrochemical investigation of solid cadmium-gold alloys. J Am Chem Soc 54:3819–3833. https://doi.org/10.1021/ja01349a004

    Article  Google Scholar 

  26. Jackson C, Wagner HG, Wasiliewski RJ (1972) Nitinol-the alloy with a memory: its physical metallurgy, properties, and applications: a report. Washingt NASA

  27. Duerig WT, Melton NK, Stockel D, Wayman CM (1990) Engineering aspects of shape memory alloys Butterworth

  28. Graesser EJ, Cozzarelli FA (1994) A proposed three-dimensional constitutive model for shape memory alloys. J Intell Mater Syst Struct 5:78–89. https://doi.org/10.1177/1045389X9400500109

    Article  Google Scholar 

  29. Dutta SC, Majumder R (2019) Shape memory alloy (SMA) as a potential damper in structural vibration control. Adv Manuf Eng Mater. https://doi.org/10.1007/978-3-319-99353-9_51

    Article  Google Scholar 

  30. Dong J, Cai CS, Okeil AM (2011) Overview of potential and existing applications of shape memory alloys in bridges. J Bridg Eng 16:305–315. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000145

    Article  Google Scholar 

  31. Kumar S, Sivakumar SM (2003) Numerical simulation of shape memory effect and superelasticity in SMA wires and beams. Smart Mater Struct Syst 5062:936–943

    Article  Google Scholar 

  32. Han YL, Li QS, Li AQ et al (2003) Structural vibration control by shape memory alloy damper. Wiley Online Libr 32:483–494. https://doi.org/10.1002/eqe.243

    Article  Google Scholar 

  33. Dieng L, Helbert G, Chirani SA et al (2013) Use of shape memory alloys damper device to mitigate vibration amplitudes of bridge cables. Eng Struct 56:1547–1556

    Article  Google Scholar 

  34. Sherif MM, Ozbulut OE (2017) Tensile and superelastic fatigue characterization of NiTi shape memory cables. Smart Mater Struct 27:015007. https://doi.org/10.1088/1361-665X/aa9819

    Article  Google Scholar 

  35. Torra V, Carreras G, Casciati S, Terriault P (2014) On the NiTi wires in dampers for stayed cables. koreascience.or.kr 13:353–374

    Article  Google Scholar 

  36. Helbert G, Dieng L, Chirani SA et al (2018) Investigation of NiTi based damper effects in bridge cables vibration response: damping capacity and stiffness changes. Eng Struct 165:184–197

    Article  Google Scholar 

  37. Zhou H, Qi S, Yao G et al (2018) Damping and frequency of a model cable attached with a pre-tensioned shape memory alloy wire: experiment and analysis. Struct Control Heal Monit 25:2106. https://doi.org/10.1002/STC.2106

    Article  Google Scholar 

  38. Zareie S, Alam MS, Seethaler RJ, Zabihollah A (2019) Effect of cyclic loads on shape memory alloy-based component of cable-stayed bridge. In: In CSCE annual conference

  39. Maletta C, Sgambitterra E, Niccoli F (2016) Temperature dependent fracture properties of shape memory alloys: novel findings and a comprehensive model. Sci Rep 6:1–11

    Article  Google Scholar 

  40. Piedboeuf MC, Gauvin R, Thomas M (1998) Damping behaviour of shape memory alloys: strain amplitude, frequency and temperature effects. J Sound Vib 214:885–901

    Article  Google Scholar 

  41. Imaoka S (2011) Shape memory alloy-superelastic vs. shape memory effect models sheldon imaoka ANSYS technical support group

  42. Song Z et al (2020) Analytical study on phase transition of shape memory alloy wire under uniaxial tension. Int J Eng Sci 152:103295

    Article  Google Scholar 

  43. Gong JM, Tobushi H, Takata K, Okumura K (2002) Superelastic deformation of a TiNi shape memory alloy subjected to various cyclic loadings. Proc Inst Mech Eng Part L J Mater Des Appl 216:17–23. https://doi.org/10.1177/146442070221600103

    Article  Google Scholar 

  44. Casciati S, Isalgue A, Torra V, Terriault P (2014) SMA passive elements for damping in the stayed cables of bridges. Mech Model Control Adv Eng Syst. https://doi.org/10.1007/978-3-7091-1571-8_9

    Article  Google Scholar 

  45. Ding Y, Chen X, Li A, Zuo X (2011) A new isolation device using shape memory alloy and its application for long-span structures. Earthq Eng Eng Vib 10:239–252. https://doi.org/10.1007/s11803-011-0062-4

    Article  Google Scholar 

  46. DesRoches R, Delemont M (2002) Seismic retrofit of simply supported bridges using shape memory alloys 24:325–332

    Google Scholar 

  47. Lin C, Wang Z, Yang X, Zhou H (2020) Experimental study on temperature effects on NiTi shape memory alloys under fatigue loading. Materials (Basel) 13:573. https://doi.org/10.3390/ma13030573

    Article  Google Scholar 

  48. Dayananda GN, Rao MS (2008) Effect of strain rate on properties of superelastic NiTi thin wires. Elsevier 486:96–103

    Google Scholar 

  49. Pan Q and, Cho C (2008) Damping property of shape memory alloys. In: 17th International conference on metallurgy and materials–metal, pp 1–5

  50. Lammering R, Schmidt I (2001) The damping capacity of shape memory alloys and its use in the development of smart structures. In: IUTAM symposium on smart structures and structronic systems, pp 121–128. https://doi.org/10.1007/978-94-010-0724-5_16

  51. McCormick J, DesRoches R (2004) Damping properties of shape memory alloys for seismic applications. In: Structures 2004: building on the past, securing the future, pp 1–11. https://doi.org/10.1061/40700(2004)81

  52. Jacob K (2021) Damping of smart systems by shape memory alloys (SMAs) (Doctoral dissertation, Karlsruher Institut für Technologie (KIT)).

  53. Raheem SEA (2014) Dynamic characteristics of hybrid tower of cable-stayed bridges. Steel Compos Struct 17:803–824. https://doi.org/10.12989/scs.2014.17.6.803

    Article  Google Scholar 

  54. Raheem SEA, Hayashikawa T, Dorka U (2009) Seismic performance of cable-stayed bridge towers: Nonlinear dynamic analysis. Struct Control Seism Des [Paperback]

  55. Raheem SEA (2018) Structural control of cable-stayed bridges under traveling earthquake wave excitation. Coupled Syst Mech 7:269–280. https://doi.org/10.12989/csm.2018.7.3.269.

  56. Ammar O, Haddar N, Dieng L (2017) Experimental investigation of the pseudoelastic behaviour of NiTi wires under strain-and stress-controlled cyclic tensile loadings. Intermetallics 81:52–61. https://doi.org/10.1016/j.intermet.2017.03.002ï

    Article  Google Scholar 

  57. Falahian A, Asadi P, Tajmir RH, Kadkhodaei M (2021) An experimental study on a self-centering damper based on shape-memory alloy wires. Taylor Fr 1–24. https://doi.org/10.1080/15397734.2021.1939048

  58. Andrawes B, DesRoches R (2005) Effect of ambient temperature on the performance of shape memory alloy seismic devices. Int Soc Opt Photoni 5764:451–459

    Google Scholar 

  59. Zuo XB, Li AQ, Sun W, Sun XH (2009) Optimal design of shape memory alloy damper for cable vibration control. J Vib Control 15:897–921. https://doi.org/10.1177/1077546308094916

    Article  Google Scholar 

  60. Zuo XB, Li AQ, Chen QF (2008) Design and analysis of a superelastic SMA damper. J Intell Mater Syst Struct 19:631–639. https://doi.org/10.1177/1045389X07078085

    Article  Google Scholar 

  61. Mccummiskey E, Dempster WM, Nash DH (2007) The determination and evaluation of Nitinol constitutive models for finite element analysis. Appl Mech Mater Tech Publ Ltd 7:81–88

    Article  Google Scholar 

  62. Takeda K, Tobushi H, Pieczyska EA (2012) Transformation-induced creep and creep recovery of shape memory alloy. Materials (Basel) 5:909–921. https://doi.org/10.3390/ma5050909

    Article  Google Scholar 

  63. Amin S, Hassan AY (2017) Experimental and finite element analyses study of superelasticity behavior of shape memory alloy NiTinol wire. Adv Nat Appl Sci 11:242–250

    Google Scholar 

  64. Amin SA, Hassan AY (2019) Numerical and experimental study of shape effect behavior of nitinol wire. J Eng Sustain Dev. https://doi.org/10.31272/jeasd.23.2.1

    Article  Google Scholar 

  65. Main JA, Jones NP (2001) Evaluation of viscous dampers for stay-cable vibration mitigation. J Bridg Eng 6:385–397. https://doi.org/10.1061/(asce)1084-0702(2001)6:6(385)

    Article  Google Scholar 

  66. Hung TV, Viet VQ, Anh VQ (2020) A three-dimensional model for rain-wind induced vibration of stay cables in cable-stayed bridges. J Sci Technol Civ Eng Nuclear 14:89–102. https://doi.org/10.31814/stce.nuce2020-14(1)-08

    Article  Google Scholar 

  67. Flamand O (1995) Rain-wind induced vibration of cables. J Wind Eng Ind Aerodyn 57:353–362

    Article  Google Scholar 

  68. Phelan RS, Sarkar PP, Mehta KC (2006) Full-scale measurements to investigate rain-wind induced cable-stay vibration and its mitigation. J Bridg Eng 11:293–304. https://doi.org/10.1061/ASCE1084-0702200611:3293

    Article  Google Scholar 

  69. Nagai M, Fujino Y, Yamaguchi H, Iwasaki E (2004) Feasibility of a 1,400 m span steel cable-stayed bridge. J Bridg Eng 9:444–452. https://doi.org/10.1061/(asce)1084-0702(2004)9:5(444)

    Article  Google Scholar 

  70. Li ZQ, Xu YL, Zhou LM (2006) Adjustable fluid damper with SMA actuators. Smart Mater Struct 15:1483

    Article  Google Scholar 

  71. Xu YL, Zhou LM, Li ZQ (2006) Adjustable fluid damper with SMA actuators for wind-rain-induced cable vibration control. In World conference on structural control and monitoring

  72. Watson S, Stafford D (1988) Cables in trouble. Civ Eng 58:38

    Google Scholar 

  73. Yoshimura T (1992) Aerodynamic stability of four medium span bridges in kyushu district. J Wind Eng Ind Aerodyn 42:1203–1214

    Article  Google Scholar 

  74. Xu YL, Yu Z (1998) Vibration of inclined sag cables with oil dampers in cable-stayed bridges. J Bridg Eng 3:194–203. https://doi.org/10.1061/(asce)1084-0702(1998)3:4(194)

    Article  Google Scholar 

  75. Krenk S (2000) Vibrations of a taut cable with an external damper. J Appl Mech 67:772–776. https://doi.org/10.1061/(asce)0733-9399(2005)131:4(340)

    Article  Google Scholar 

  76. Tabatabai H, Mehrabi AB (2000) Design of mechanical viscous dampers for stay cables. J Bridg Eng 5:114–123. https://doi.org/10.1061/(asce)1084-0702(2000)5:2(114)

    Article  Google Scholar 

  77. Xu YL, Zhan S, Ko JM, Yu Z (1999) Experimental study of vibration mitigation of bridge stay cables. J Struct Eng 125:977–986. https://doi.org/10.1061/(ASCE)0733-9445(1999)125

    Article  Google Scholar 

  78. Johnson EA, Christenson RE, Spencer BF Jr (2003) Semiactive damping of cables with sag. Comput Civ Infrastruct Eng 18:132–146. https://doi.org/10.1111/1467-8667.00305

    Article  Google Scholar 

  79. Liu M, Li H, Song G, Ou J (2007) Investigation of vibration mitigation of stay cables incorporated with superelastic shape memory alloy dampers. Smart Mater Struct 16:2202

    Article  Google Scholar 

  80. Casciati F, Faravelli L, Fuggini C (2008) Cable vibration mitigation by added SMA wires. Springer 195:141–155. https://doi.org/10.1007/s00707-007-0541-x

    Article  Google Scholar 

  81. Mekki OB, Auricchio F (2011) Performance evaluation of shape-memory-alloy superelastic behavior to control a stay cable in cable-stayed bridges. Int J Non Linear Mech 46:470–477

    Article  Google Scholar 

  82. Liu AR, Yu QC, Zhang JP et al (2011) Study on vibration control of long cable with shape memory alloy damper. Adv Sci Lett 4:3023–3026

    Article  Google Scholar 

  83. Torra V, Isalgue A, Auguet C et al (2011) SMA in mitigation of extreme loads in civil engineering: Damping actions in stayed cables. Appl Mech Mater Trans Tech Publ Ltd 82:539–544

    Article  Google Scholar 

  84. Torra V, Auguet C, Carreras G et al (2012) The SMA: an effective damper in civil engineering that smoothes oscillations. Mater Sci Forum 706:2020–2025

    Article  Google Scholar 

  85. Torra V, Isalgue A, Auguet C et al (2013) Damping in civil engineering using SMA Part 2–particular properties of NiTi for damping of stayed cables in bridges. Can Metall Q 52:81–89. https://doi.org/10.1179/1879139512Y.0000000036

    Article  Google Scholar 

  86. Hadi A, Qasemi M, Elahinia M, Moghaddam NS (2014) Modeling and experiment of a flexible module actuated by shape memory alloy wire. Smart Mater Adapt Struct Intell Syst 46148:V001T03A035. https://doi.org/10.1361/105994900770346006

    Article  Google Scholar 

  87. Meier H, Oelschlaeger L (2004) Numerical thermomechanical modelling of shape memory alloy wires. Mater Sci Eng A 378:484–489

    Article  Google Scholar 

  88. Zbiciak A, Michalczyk R, Oleszek R (2014) Vibration reduction of cable-stayed bridge model retrofitted with SMA restrainers. Vibroeng Procedia 3:180–185

    Google Scholar 

  89. Talebi H, Zakerzadeh MR, Salehi H, Golestanian H (2014) Nonlinear analysis of a corrugate composite panel actuated by shape memory alloy wire. In: 22nd annual international conference on mechanical engineering ISME, 2014–2185

  90. Alipour A, Kadkhodaei M, Safaei M (2017) Design, analysis, and manufacture of a tension-compression self-centering damper based on energy dissipation of pre-stretched superelastic shape memory alloy wires. J Intell Mater Syst Struct 28:2129–2139. https://doi.org/10.1177/1045389X16682839

    Article  Google Scholar 

Download references

Funding

No funding was received for conducting this study.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Sourabh Rajoriya.

Ethics declarations

Conflict of interest

On behalf of all authors, the corresponding author states that there is no conflict of interest.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

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, 192 (2022). https://doi.org/10.1007/s41062-021-00733-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s41062-021-00733-4

Keywords

Navigation