Active Control of Stay Cable Vibration Using a Giant Magnetostrictive Actuator
Publication: Journal of Aerospace Engineering
Volume 31, Issue 5
Abstract
Although giant magnetostrictive actuators (GMAs) have been widely studied in the field of active vibration control, the effectiveness of GMAs to control the vibration of cable structures has not been reported yet. This paper proposes an active control method of stay cable vibration using a GMA. A bilinear motion equation of a small-sag stay cable equipped with a GMA is established and the optimal active control algorithm of this control system is designed based on Lyapunov theory. A GMA is developed for the active control of a stay cable model and dynamic properties of the GMA are tested to determine the relationship between the input voltage and the output force. Numerical simulations and experimental tests for the active control of a stay cable model using the designed GMA are performed under free and forced vibration. The results indicate that the designed GMA can effectively reduce the cable vibration based on the proposed optimal active control algorithm.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
This research work was supported by the National Key Basic Research Program of China (973 Project) (Grant No. 2015CB057702), the National Natural Foundation of China (Grant No. 51378203) and the Hunan Provincial Innovation Foundation for Postgraduate (Grant No. CX2017B627).
References
Achkire, Y., and A. Preumont. 1996. “Active tendon control of cable-stayed bridges.” Earthquake Eng. Struct. Dyn. 25 (6): 585–597. https://doi.org/10.1002/(SICI)1096-9845(199606)25:6%3C585::AID-EQE570%3E3.0.CO;2-I.
Anjanappa, M., and J. Bi. 1994. “Magnetostrictive mini actuators for smart structure applications.” Smart Mater. Struct. 3 (4): 383–390. https://doi.org/10.1088/0964-1726/3/4/001.
Bartlett, P. A., S. J. Eaton, J. Gore, W. J. Metheringham, and A. G. Jenner. 2001. “High-power, low frequency magnetostrictive actuation for anti-vibration applications.” Sens. Actuators, A 91 (1): 133–136. https://doi.org/10.1016/S0924-4247(01)00475-7.
Benallou, A., D. A. Mellichamp, and D. E. Seborg. 1988. “Optimal stabilizing controllers for bilinear systems.” Int. J. Control 48 (4): 1487–1501. https://doi.org/10.1080/00207178808906264.
Braghin, F., S. Cinquemani, and F. Resta. 2011. “A model of magnetostrictive actuators for active vibration control.” Sens. Actuators, A 165 (2): 342–350. https://doi.org/10.1016/j.sna.2010.10.019.
Chen, L., L. Sun, and S. Nagarajaiah. 2016. “Cable vibration control with both lateral and rotational dampers attached at an intermediate location.” J. Sound Vib. 377: 38–57. https://doi.org/10.1016/j.jsv.2016.04.028.
Chen, Z. Q., X. Y. Wang, J. M. Ko, Y. Q. Ni, B. F. Spencer, G. Yang, and J. H. Hu. 2004. “MR damping system for mitigating wind-rain induced vibration on Dongting Lake Cable-Stayed Bridge.” Wind Struct. 7 (5): 293–304. https://doi.org/10.12989/was.2004.7.5.293.
Fenn, R. C., J. R. Downer, D. A. Bushko, V. Gondhalekar, and N. D. Ham. 1996. “Terfenol-D driven flaps for helicopter vibration reduction.” Smart Mater. Struct. 5 (1): 49–57. https://doi.org/10.1088/0964-1726/5/1/006.
Fujino, Y., P. Warnitchai, and B. M. Pacheco. 1993. “Active rigidity control of cable vibration.” J. Appl. Mech. 60 (4): 948–953. https://doi.org/10.1115/1.2901006.
Gattulli, V., R. Alaggio, and F. Potenza. 2008. “Analytical prediction and experimental validation for longitudinal control of cable oscillations.” Int. J. Non Linear Mech. 43 (1): 36–52. https://doi.org/10.1016/j.ijnonlinmec.2007.10.001.
Hahn, W., H. H. Hosenthien, and H. Lehnigk. 1963. Theory and application of Lyapunov’s direct method, 35–39. Englewood Cliffs, NJ: Prentice-Hall.
Hikami, Y., and N. Shiraishi. 1988. “Rain-wind induced vibration of cables stayed bridges.” J. Wind Eng. Ind. Aerodyn. 29 (1–3): 409–418. https://doi.org/10.1016/0167-6105(88)90179-1.
Janocha, H. 2001. “Application potential of magnetic field driven new actuators.” Sens. Actuators, A 91 (1): 126–132. https://doi.org/10.1016/S0924-4247(01)00619-7.
Karunanidhi, S., and M. Singaperumal. 2010. “Design, analysis and simulation of magnetostrictive actuator and its application to high dynamic servo valve.” Sens. Actuators, A 157 (2): 185–197. https://doi.org/10.1016/j.sna.2009.11.014.
Lazar, I. F., S. A. Neild, and D. J. Wagg. 2016. “Vibration suppression of cables using tuned inerter dampers.” Eng. Struct. 122: 62–71. https://doi.org/10.1016/j.engstruct.2016.04.017.
Liu, M., H. Li, G. Song, and J. Ou. 2007a. “Investigation of vibration mitigation of stay cables incorporated with superelastic shape memory alloy dampers.” Smart Mater. Struct. 16 (6): 2202–2213. https://doi.org/10.1088/0964-1726/16/6/023.
Liu, M., G. Song, and H. Li. 2007b. “Non-model-based semi-active vibration suppression of stay cables using magneto-rheological fluid dampers.” Smart Mater. Struct. 16 (4): 1447–1452. https://doi.org/10.1088/0964-1726/16/4/059.
Matsumoto, M., T. Yagi, Y. Shigemura, and D. Tsushima. 2001. “Vortex-induced cable vibration of cable-stayed bridges at high reduced wind velocity.” J. Wind Eng. Ind. Aerodyn. 89 (7): 633–647. https://doi.org/10.1016/S0167-6105(01)00063-0.
Ni, Y. Q., X. Y. Wang, Z. Q. Chen, and J. M. Ko. 2007. “Field observations of rain-wind-induced cable vibration in cable-stayed Dongting Lake Bridge.” J. Wind Eng. Ind. Aerodyn. 95 (5): 303–328. https://doi.org/10.1016/j.jweia.2006.07.001.
Ohmata, K., M. Zaike, and T. Koh. 1997. “A three-link arm type vibration control device using magnetostrictive actuators.” J. Alloys Compd. 258 (1–2): 74–78. https://doi.org/10.1016/S0925-8388(97)00071-6.
Olabi, A. G., and A. Grunwald. 2008. “Design and application of magnetostrictive materials.” Mater. Des. 29 (2): 469–483. https://doi.org/10.1016/j.matdes.2006.12.016.
Pagliarulo, P., K. Kuhnen, C. May, and H. Janocha. 2004. “Tunable magnetostrictive dynamic vibration absorber.” In Proc., of the 9th International Conference on New Actuators, 367–370.
Prajapati, K., R. D. Greenough, A. Wharton, M. Stewart, and M. G. Gee. 1996. “Effect of cyclic stress on Terfenol-D.” IEEE Trans. Magn. 32 (5): 4761–4763. https://doi.org/10.1109/20.539143.
Shang, X., E. Pan, and L. Qin. 2008. “Mathematical modeling and numerical computation for the vibration of a magnetostrictive actuator.” Smart Mater. Struct. 17 (4): 045026 https://doi.org/10.1088/0964-1726/17/4/045026.
Shi, X., S. Zhu, J. Y. Li, and B. F. Spencer Jr. 2016. “Dynamic behavior of stay cables with passive negative rigidity dampers.” Smart Mater. Struct. 25 (7): 075044. https://doi.org/10.1088/0964-1726/25/7/075044.
Song, G., P. Z. Qiao, W. K. Binienda, and G. P. Zou. 2002. “Active vibration damping of composite beam using smart sensors and actuators.” J. Aerosp. Eng. 15 (3): 97–103. https://doi.org/10.1061/(ASCE)0893-1321(2002)15:3(97).
Susumpow, T. 1993. “Dynamics of cable-structure systems and active control of cable by axial support motion.” Doctoral dissertation, Tokyo: Univ. of Tokyo.
Susumpow, T., and Y. Fujino. 1995. “Active control of multimodal cable vibrations by axial support motion.” J. Eng. Mech. 121 (9): 964–972. https://doi.org/10.1061/(ASCE)0733-9399(1995)121:9(964).
Wang, X. Y., Y. Q. Ni, J. M. Ko, and Z. Q. Chen. 2005. “Optimal design of viscous dampers for multi-mode vibration control of bridge cables.” Eng. Struct. 27 (5): 792–800. https://doi.org/10.1016/j.engstruct.2004.12.013.
Wang, Z. H., Z. Q. Chen, H. Gao, and H. Wang. 2018. “Development of a self-powered magnetorheological damper system for cable vibration control.” Appl. Sci. 8 (1): 118 https://doi.org/10.3390/app8010118.
Warnitchai, P., Y. Fujino, and T. Susumpow. 1995. “A non-linear dynamic model for cables and its application to a cable-structure system.” J. Sound Vib. 187 (4): 695–712. https://doi.org/10.1006/jsvi.1995.0553.
Xu, Y. L., J. M. Ko, and W. S. Zhang. 1997. “Vibration studies of Tsing Ma suspension bridge.” J. Bridge Eng. 2 (4): 149–156. https://doi.org/10.1061/(ASCE)1084-0702(1997)2:4(149).
Yan, R., B. Wang, Q. Yang, F. Liu, S. Cao, and W. Huang. 2004. “A numerical model of displacement for giant magnetostrictive actuator.” IEEE Trans. Appl. Supercond. 14 (2): 1914–1917. https://doi.org/10.1109/TASC.2004.830929.
Zhou, H. M., X. J. Zheng, and Y. H. Zhou. 2006. “Active vibration control of nonlinear giant magnetostrictive actuators.” Smart Mater. Struct. 15 (3): 792–798. https://doi.org/10.1088/0964-1726/15/3/015.
Zhu, Y., X. Yang, and N. M. Wereley. 2016. “Research on hysteresis loop considering the prestress effect and electrical input dynamics for a giant magnetostrictive actuator.” Smart Mater. Struct. 25 (8): 085030. https://doi.org/10.1088/0964-1726/25/8/085030.
Zuo, D., and N. P. Jones. 2010. “Interpretation of field observations of wind-and rain-wind-induced stay cable vibrations.” J. Wind Eng. Ind. Aerodyn. 98 (2): 73–87. https://doi.org/10.1016/j.jweia.2009.09.004.
Information & Authors
Information
Published In
Copyright
©2018 American Society of Civil Engineers.
History
Received: Feb 10, 2018
Accepted: Mar 30, 2018
Published online: Jun 27, 2018
Published in print: Sep 1, 2018
Discussion open until: Nov 27, 2018
Authors
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.