DOI QR코드

DOI QR Code

Two-dimensional air spring based semi-active TMD for vertical and lateral walking and wind-induced vibration control

  • Wang, Yang (School of Economics and Management, Shanghai University of Electric Power) ;
  • Wang, Liangkun (Department of Disaster Mitigation for Structures, Tongji University) ;
  • Shi, Weixing (Department of Disaster Mitigation for Structures, Tongji University)
  • 투고 : 2021.04.17
  • 심사 : 2021.08.06
  • 발행 : 2021.11.25

초록

A slender steel pedestrian bridge suffers from excessive vibration under walking-induced excitations, which include vertical and lateral dynamic loads. Meanwhile, a slender footbridge may also be sensitive to the wind excitation. Excessive vibration will not only cause a serviceability problem, but also even a safety problem. Tuned mass dampers (TMDs) have been applied in slender steel bridges widely for vibration control. However, a passive TMD is sensitive to the frequency deviation. Though a semi-active TMD (STMD) can improve the control effect of a passive TMD to a great degree, there is no STMD and related research that can simultaneously control vertical and lateral walking and wind-induced vibrations of pedestrian bridges. To fill this blank, in this paper, a two-dimensional air spring based STMD (TDAS-STMD) is proposed. The TDAS-STMD is connected to the bridge through two vertical air springs and two lateral air springs, and the stiffness of each air spring can be retuned through adjusting its air pressure by an air pump. At the same time, the damping of TDAS-STMD can be adjusted in real time through changing the air gap between the conductor plate and permanent magnets by a step putter. The mechanical detail of TDAS-STMD and the combined variable stiffness and damping control algorithm are introduced firstly. Then, a simply supported steel footbridge which is sensitive to both vertical and lateral walking and wind-induced excitations is proposed as a case study. In the numerical simulation, the bridge is simplified as a Euler-Bernoulli beam with a constant section. A group of two optimized passive TMDs which implemented in vertical and lateral directions respectively are presented for comparison. Single pedestrian walking-induced vertical and lateral vibration, wind-induced lateral vibration, and a low-density random crowd-induced vertical and lateral vibration coupled with the wind-induced lateral vibration are both considered in the case study. Numerical results indicate that the TDAS-STMD can control vertical and lateral vibrations of the beam effectively and always has the best performance.

키워드

과제정보

The authors are grateful for the financial support received from the formation mechanism and Countermeasures of "the belt and road" power investment project safety cost (17BGL010).

참고문헌

  1. Bhattacharyya, S., Ghosh, A. and Basu, B. (2017), "Nonlinear modeling and validation of air spring effects in a sealed tuned liquid column damper for structural control", J. Sound Vib., 410, 269-286. https://doi.org/10.1016/j.jsv.2017.07.046.
  2. Cao, L. and Chen, Y. (2020), "A simplified method for determining the acceleration amplitudes of long-span floor system under walking/running loads", Struct. Eng. Mech., 75(3), 377-387. https://doi.org/10.12989/sem.2020.75.3.377.
  3. Cao, L., Liu, J., Zhang, X. and Chen, Y.F. (2019), "Numerical study on the walking load based on inverted-pendulum model", Struct. Eng. Mech., 71(3), 245-255. https://doi.org/10.12989/sem.2019.71.3.245.
  4. Caprani, C.C., Keogh, J., Archbold, P. and Fanning, P. (2012), "Enhancement factors for the vertical response of footbridges subjected to stochastic crowd loading", Comput. Struct., 102-103, 87-96. https://doi.org/10.1016/j.compstruc.2012.03.006.
  5. Casado, C.M., Diaz, I.M., de Sebastian, J., Poncela, A.V. and Lorenzana, A. (2013), "Implementation of passive and active vibration control on an in-service footbridge", Struct. Contr. Health Monit., 20(1), 70-87. https://doi.org/10.1002/stc.471.
  6. Chen, J.J., Yin, Z.H., Yuan, X.J., Qiu, G.Q., Guo, K.H. and Wang, X.L. (2021), "A refined stiffness model of rolling lobe air spring with structural parameters and the stiffness characteristics of rubber bellows", Measure., 169, 108355. https://doi.org/10.1016/j.measurement.2020.108355.
  7. Cong, P., Magee, A. and Zhang, T. (2019), "Efficient calculation of the hydrodynamic coefficients and dynamic stiffness of an air-spring type vibration absorber", Ocean Eng., 192, 106550. https://doi.org/10.1016/j.oceaneng.2019.106550.
  8. Den, H. (1985), Mechanical Vibrations, McGraw-Hill/Dover: New York, NY, USA.
  9. Eason, R.P., Sun, C., Dick, A.J. and Nagarajaiah, S. (2013), "Attenuation of a linear oscillator using a nonlinear and a semi-active tuned mass damper in series", J. Sound Vib., 332, 154-166. https://doi.org/10.1016/j.jsv.2012.07.048.
  10. Ferreira, F. and Simoes, L. (2019), "Least cost design of curved cable-stayed footbridges with control devices-Sciencedirect", Struct., 19, 68-83. https://doi.org/10.1016/j.istruc.2018.12.004.
  11. Ferreira, F., Moutinho, C., Cunha, A . and Caetano, E. (2019), "Use of semi-active tuned mass dampers to control footbridges subjected to synchronous lateral excitation", J. Sound Vib., 446, 176-194. https://doi.org/10.1016/j.jsv.2019.01.026.
  12. Han, C., Choi, S.B., Lee, Y.S., Kim, H.T. and Kim, C.H. (2018), "A new hybrid mount actuator consisting of air spring and magneto-rheological damper for vibration control of a heavy precision stage", Sensor. Actuator. A, 284, 42-51. https://doi.org/10.1016/j.sna.2018.10.020.
  13. He, W. and Xie, W.P. (2018), "Characterization of stationary and walking people on vertical dynamic properties of a lively lightweight bridge", Struct. Control Hlth. Monit., 25(3), 1-24. https://doi.org/10.1002/stc.2123.
  14. Huang, H., Chang, W.S. and Mosalam, K.M. (2017), "Feasibility of shape memory alloy in a tuneable mass damper to reduce excessive in-service vibration", Struct. Control Hlth. Monit., 24(2), e1858. https://doi.org/10.1002/stc.1858.
  15. Ingolfsson, E.T., Georgakis, C.T. and Jnsson, J. (2012), "Pedestrian-induced lateral vibrations of footbridges: A literature review", Eng. Struct., 45(15), 21-52. https://doi.org/10.1016/j.engstruct.2012.05.038.
  16. Lai, E., Gentile, C. and Mulas, M.G. (2017), "Experimental and numerical serviceability assessment of a steel suspension footbridge", J. Constr. Steel Res., 132, 16-28. https://doi.org/10.1016/j.jcsr.2017.01.005.
  17. Lee, K., Lee, S.H., Kim, G.C. and Woo, S.S. (2014), "Global vertical resonance phenomenon between steel building and human rhythmic excitations", J. Constr. Steel Res., 92, 164-174. https://doi.org/10.1016/j.jcsr.2013.09.001.
  18. Li, Y., He, L., Shuai, C.G. and Wang, C.Y. (2017), "Improved hybrid isolator with maglev actuator integrated in air spring for active-passive isolation of ship machinery vibration", J. Sound Vib., 407, 226-239. https://doi.org/10.1016/j.jsv.2017.07.007.
  19. Lu, X., Ding, K., Shi, W. and Weng, D. (2012), "Tuned mass dampers for human-induced vibration control of the expo culture centre at the world expo 2010 in shanghai, China", Struct. Eng. Mech., 43(5), 607-621. https://doi.org/10.12989/sem.2012.43.5.607.
  20. Lu, Z., Chen, X., Li, X. and Li, P. (2017), "Optimization and application of multiple tuned mass dampers in the vibration control of pedestrian bridges", Struct. Eng. Mech., 62(1), 55-64. https://doi.org/10.12989/sem.2017.62.1.055.
  21. Moutinho, C., Cunha, A ., Caetano, E. and De Carvalho, J.M. (2018), "Vibration control of a slender footbridge using passive and semiactive tuned mass dampers", Struct. Control Hlth. Monit., 25(9), e2208. https://doi.org/10.1002/stc.2208.
  22. Nagarajaiah, S. (2010), "Adaptive passive, semiactive, smart tuned mass dampers: identification and control using empirical mode decomposition, hilbert transform, and short-term fourier transform", Struct. Control Hlth. Monit., 16(7-8), 800-841. https://doi.org/10.1002/stc.349.
  23. Nagarajaiah, S. and Sonmez, E. (2007), "Structures with semiactive variable stiffness single/multiple tuned mass dampers", J. Struct. Eng., 133(1), 67-77. https://doi.org/10.1061/(ASCE)0733-9445(2007)133:1(67).
  24. Nagarajaiah, S. and Varadarajan, N. (2005), "Short time fourier transform algorithm for wind response control of buildings with variable stiffness TMD", Eng. Struct., 27(3), 431-441. https://doi.org/10.1016/j.engstruct.2004.10.015.
  25. Nakamura, S. and Kawasaki, T. (2006), "Lateral vibration of footbridges by synchronous walking", J. Constr. Steel Res., 62(11), 1148-1160. https://doi.org/10.1016/j.jcsr.2006.06.023.
  26. Nakamura, S. and Kawasaki, T. (2009), "A method for predicting the lateral girder response of footbridges induced by pedestrians", J. Constr. Steel Res., 65(8-9), 1705-1711. https://doi.org/10.1016/j.jcsr.2009.03.003.
  27. Racic, V. and Brownjohn, J. (2012), "Mathematical modelling of random narrow band lateral excitation of footbridges due to pedestrians walking", Comput. Struct., 90-91, 116-130. https://doi.org/10.1016/j.compstruc.2011.10.002.
  28. Service d'Etudes Techniques des Routes et Autoroutes (SETRA) (2006), "Footbridges-Assessment of vibrational behavior of footbridges under pedestrian loading", Technical Guide, Paris.
  29. Setareh, M., Ritchey, J.K., Murray, T.M., Koo, J.H. and Ahmadian, M. (2007), "Semiactive tuned mass damper for floor vibration control", J. Struct. Eng., 133(2), 242-250. https://doi.org/10.1061/(ASCE)0733-9445(2007)133:2(242).
  30. Shi, W., Wang, L. and Lu, Z. (2018), "Study on self-adjustable tuned mass damper with variable mass", Struct. Control Hlth. Monit., 25(3), 1-16. https://doi.org/10.1002/stc.2114.
  31. Shi, W., Wang, L., Lu, Z. and Wang, H. (2019), "Experimental and numerical study on adaptive-passive variable mass tuned mass damper", J. Sound Vib., 452, 97-111. https://doi.org/10.1016/j.jsv.2019.04.008.
  32. Sonmez, E., Nagarajaiah, S., Sun, C. and Basu, B. (2016), "A study on semi-active Tuned Liquid Column Dampers (sTLCDs) for structural response reduction under random excitations", J. Sound Vib., 362, 1-15. https://doi.org/10.1016/j.jsv.2015.09.020.
  33. Soria, J., Diaz, I. and Garcia-Palacios, J. (2017), "Vibration control of a time-varying modal-parameter footbridge: study of semi-active implementable strategies", Smart Struct. Syst., 20(5), 525-537. https://doi.org/10.12989/sss.2017.20.5.525.
  34. Spencer, B. and Nagarajaiah, S. (2003), "State of the art of structural control", J. Struct. Eng., 129(7), 845-856. https://doi.org/10.1061/(ASCE)0733-9445(2003)129:7(845).
  35. Sun, C. (2018a), "Mitigation of offshore wind turbine responses under wind and wave loading: Considering soil effects and damage", Struct Control Hlth. Monit., 25(3), e2117. https://doi.org/10.1002/stc.2117.
  36. Sun, C. (2018b), "Semi-active control of monopile offshore wind turbines under multi-hazards", Mech. Syst. Signal Pr., 99, 285-305. https://doi.org/10.1016/j.ymssp.2017.06.016.
  37. Sun, C. and Nagarajaiah, S. (2014), "Study on semi-active tuned mass damper with variable damping and stiffness under seismic excitations", Struct. Control Hlth. Monit., 21(6), 890-906. https://doi.org/10.1002/stc.1620.
  38. Sun, C., Eason, R.P., Nagarajaiah, S. and Dick, A.J. (2013), "Hardening Duffing oscillator attenuation using a nonlinear TMD, a semi-active TMD and multiple TMD", J. Sound Vib., 332, 674-686. https://doi.org/10.1016/j.jsv.2012.10.016.
  39. Sun, C., Nagarajaiah, S. and Dick, A.J. (2014), "Family of smart tuned mass dampers with variable frequency under harmonic excitations and ground motions: closed-form evaluation", Smart Struct. Syst., 13(2), 319-341. http://doi.org/10.12989/sss.2014.13.2.319.
  40. Wang, C., Chang, W.S., Yan, W. and Huang, H. (2021), "Predicting the human-induced vibration of cross laminated timber floor under multi-person loadings", Struct., 29, 65-78. https://doi.org/10.1016/j.istruc.2020.10.074.
  41. Wang, J. and Chen, J. (2017), "A comparative study on different walking load models", Struct. Eng. Mech., 63(6), 847-856. https://doi.org/10.12989/sem.2017.63.6.847.
  42. Wang, L., Nagarajaiah, S., Shi, W. and Zhou, Y. (2020a), "Study on adaptive-passive eddy current pendulum tuned mass damper for wind-induced vibration control", Struct. Des. Tall Spec. Build., 29(15), e1793. https://doi.org/10.1002/tal.1793.
  43. Wang, L., Nagarajaiah, S., Shi, W. and Zhou, Y. (2021), "Semiactive control of walking-induced vibrations using adaptive tuned mass damper considering human-structure-interaction", Eng. Struct., 244, 112743. https://doi.org/10.1016/j.engstruct.2021.112743.
  44. Wang, L., Shi, W. and Zhou, Y. (2019b), "Study on self-adjustable variable pendulum tuned mass damper", Struct. Des. Tall Spec. Build., 28(1), e1561. https://doi.org/10.1002/tal.1561.
  45. Wang, L., Shi, W., Li, X., Zhang, Q. and Zhou, Y. (2019a), "An adaptive-passive retuning device for a pendulum tuned mass damper considering mass uncertainty and optimum frequency", Struct. Control Hlth. Monit., 26(7), e2377. https://doi.org/10.1002/stc.2377.
  46. Wang, L., Shi, W., Zhang, Q. and Zhou, Y. (2020b), "Study on adaptive-passive multiple tuned mass damper with variable mass for a large-span floor structure", Eng. Struct., 209, 110010. https://doi.org/10.1016/j.engstruct.2019.110010.
  47. Wang, L., Shi, W., Zhou, Y. and Zhang, Q. (2020c), "Semi-active eddy current pendulum tuned mass damper with variable frequency and damping", Smart Struct. Syst., 25(1), 65-80. https://doi.org/10.12989/sss.2020.25.1.065.
  48. Wang, X., Pereira, E., Diaz, I.M. and Garcia-Palacios, J.H. (2018), "Velocity feedback for controlling vertical vibrations of pedestrian-bridge crossing. practical guidelines", Smart Struct. Syst., 22(1), 95-103. https://doi.org/10.12989/sss.2018.22.1.095.
  49. White, R.E., Alexander, N.A., Macdonald, J. and Bocian, M. (2020), "Characterisation of crowd lateral dynamic forcing from full-scale measurements on the clifton suspension bridge", Struct., 24, 415-425. https://doi.org/10.1016/j.istruc.2019.11.012.
  50. Wieczorek, N., Gerasch, W., Rolfes, R. and Kammerer, H. (2014), "Semiactive friction damper for lightweight pedestrian bridges", J. Struct. Eng., 140(4), 04013102. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000880.
  51. Zhang, H.Y., Chen, Z.Q., Hua, X.G., Huang, Z.W. and Niu, H.W. (2020), "Design and dynamic characterization of a large-scale eddy current damper with enhanced performance for vibration control", Mech. Syst. Signal Pr., 145, 106879. https://doi.org/10.1016/j.ymssp.2020.106879.
  52. Zhu, H., Yang, J., Zhang, Y. and Feng, X (2017), "A novel air spring dynamic model with pneumatic thermodynamics, effective friction and viscoelastic damping", J. Sound Vib., 408, 87-104. https://doi.org/10.1016/j.jsv.2017.07.015.
  53. Zhu, Q., Hui, X., Du, Y. and Zhang, Q. (2019), "A full path assessment approach for vibration serviceability and vibration control of footbridges", Struct. Eng. Mech., 70(6), 765-779. https://doi.org/10.12989/sem.2019.70.6.765.
  54. Zhu, Q., Liu, K., Liu, L., Du, Y. and Zivanovic, S. (2020), "Experimental and numerical analysis on serviceability of cantilevered floor based on human-structure interaction", J. Constr. Steel Res., 173, 106184. https://doi.org/10.1016/j.jcsr.2020.106184.