DOI QR코드

DOI QR Code

Compound damping cable system for vibration control of high-rise structures

  • Yu, Jianda (School of Civil Engineering, Hunan University of Science and Technology) ;
  • Feng, Zhouquan (College of Civil Engineering, Hunan University) ;
  • Zhang, Xiangqi (School of Civil Engineering, Hunan University of Science and Technology) ;
  • Sun, Hongxin (School of Civil Engineering, Hunan University of Science and Technology) ;
  • Peng, Jian (School of Civil Engineering, Hunan University of Science and Technology)
  • Received : 2020.01.17
  • Accepted : 2021.10.23
  • Published : 2022.04.25

Abstract

High-rise structures prone to large vibrations under the action of strong winds, resulting in fatigue damage of the structural components and the foundation. A novel compound damping cable system (CDCS) is proposed to suppress the excessive vibrations. CDCS uses tailored double cable system with increased tensile stiffness as the connecting device, and makes use of the relative motion between the high-rise structure and the ground to drive the damper to move back-and-forth, dissipating the vibration mechanical energy of the high-rise structure so as to decaying the excessive vibration. Firstly, a third-order differential equation for the free vibration of high-rise structure with CDCS is established, and its closed form solution is obtained by the root formulas of cubic equation (Shengjin's formulas). Secondly, the analytical solution is validated by a laboratory model experiment. Thirdly, parametric analysis is conducted to investigate how the parameters affect the vibration control performance. Finally, the dynamic responses of the high-rise structure with CDCS under harmonic and stochastic excitations are calculated and its vibration mitigation performance is further evaluated. The results show that the CDCS can provide a large equivalent additional damping ratio for the vibrating structures, thus suppressing the excessive vibration effectively. It is anticipated that the CDCS can be used as a good alternative energy dissipation system for vibration control of high-rise structures.

Keywords

Acknowledgement

This research was supported in part by Key Project of Scientific Research Fund (grant No.17A071) from Education Department of Hunan Province, the independent research project fund from the State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body in Hunan University (grant No. 71865006) and the Fundamental Research Funds for the Central Universities (grant No. 531118010047).

References

  1. Ahmad, J., Cheng, S. and Ghrib, F. (2018), "Combined effect of external damper and crosstie on the modal response of hybrid two-cable networks", J. Sound Vib., 417, 132-148. https://doi.org/10.1016/j.jsv.2017.12.023
  2. Aly, A.M., Zasso, A. and Resta, F. (2011), "On the dynamics of a very slender building under winds: response reduction using M R dampers with lever mechanism", Struct. Des. Tall Special Build., 20(5), 539-551. https://doi.org/10.1002/tal.647
  3. Benavent-Climent, A. (2011), "An energy based method for seismic retrofit of existing frames using hysteretic dampers", Soil Dyn. Earthq. Eng., 31(10), 1385-1396. https://doi.org/10.1016/j.soildyn.2011.05.015
  4. Caracoglia, L. and Jones, N.P. (2007), "Passive hybrid technique for the vibration mitigation of systems of interconnected stays", J. Sound Vib., 307(3-5), 849-864. https://doi.org/10.1016/j.jsv.2007.07.022
  5. Chen, Z.Q., Wang, X.Y., Ko, J.M., Ni, Y.Q., Spencer Jr, B.F., Yang, G. and Hu, J.H. (2004), "MR damping system for mitigating wind-rain induced vibration on Dongting Lake Cable-Stayed Bridge", Wind Struct., Int. J., 7(5), 293-304. https://doi.org/10.12989/was.2004.7.5.293
  6. Choi, S.-W. and Kim, H.-K. (2008), "Design of aerodynamic stabilizing cables for a cable-stayed bridge during construction", Wind Struct., Int. J., 11(5), 391-411. https://doi.org/10.12989/was.2008.11.5.391
  7. Duan, Y., Ni, Y.-Q., Zhang, H., Spencer, B.F.J., Ko, J.-M. and Fang, Y. (2019), "Design formulas for vibration control of taut cables using passive MR dampers", Smart Struct. Syst., Int. J., 23(6), 521-536. https://doi.org/10.12989/sss.2019.23.6.521
  8. Ernst, J.H. (1965), "Der E-modul von seilen under berucksichtigung des durchhanges", Bauing, 40(2), 52-55.
  9. Fan, S. (1989), "A new extracting formula and a new distinguishing means on the one variable cubic equation", J. Hainan Normal Univ. (Nat. Sci.), 2(2), 91-98.
  10. Feng, Z.Q., Zhao, B., Hua, X.G. and Chen, Z.Q. (2019), "Enhanced EMD-RDT Method for Output-Only Ambient Modal Identification of Structures", J. Aerosp. Eng., 32(4), 04019046. https://doi.org/10.1061/(ASCE)AS.1943-5525.0001034
  11. Gao, H., Wang, H., Li, J., Wang, Z., Liang, R., Xu, Z. and Ni, Y. (2021), "Optimum design of viscous inerter damper targeting multi-mode vibration mitigation of stay cables", Eng. Struct., 226, 111375. https://doi.org/10.1016/j.engstruct.2020.111375
  12. Huang, Z.W., Hua, X.G., Chen, Z.Q. and Niu, H.W. (2018), "Modeling, Testing, and Validation of an Eddy Current Damper for Structural Vibration Control", J. Aerosp. Eng., 31(5), 04018063. https://doi.org/10.1061/(ASCE)AS.1943-5525.0000891
  13. Huang, Z., Hua, X., Chen, Z. and Niu, H. (2019), "Performance evaluation of inerter-based damping devices for structural vibration control of stay cables", Smart Struct. Syst., Int. J., 23(6), 615-626. https://doi.org/10.12989/sss.2019.23.6.615
  14. Ikago, K., Saito, K. and Inoue, N. (2012a), "Seismic control of single-degree-of-freedom structure using tuned viscous mass damper", Earthq. Eng. Struct. Dyn., 41(3), 453-474. https://doi.org/10.1002/eqe.1138
  15. Ikago, K., Sugimura, Y., Saito, K. and Inoue, N. (2012b), "Modal Response Characteristics of a Multiple-Degree-Of-Freedom Structure Incorporated with Tuned Viscous Mass Dampers", J. Asian Architect. Build. Eng., 11(2), 375-382. https://doi.org/10.3130/jaabe.11.375
  16. Kim, H.-K., Kim, K.-T., Lee, H. and Kim, S. (2013), "Performance of Unpretensioned Wind Stabilizing Cables in the Construction of a Cable-Stayed Bridge", J. Bridge Eng., 18(8), 722-734. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000405
  17. Lazar, L.F., Neild, S.A. and Wagg, D.J. (2014), "Using an inerter-based device for structural vibration suppression", Earthq. Eng. Struct. Dyn., 43(8), 1129-1147. https://doi.org/10.1002/eqe.2390
  18. Li, H., Liu, M., Li, J., Guan, X. and Ou, J. (2007), "Vibration Control of Stay Cables of the Shandong Binzhou Yellow River Highway Bridge Using Magnetorheological Fluid Dampers", J. Bridge Eng., 12(4), 401-409. https://doi.org/10.1061/(ASCE)1084-0702(2007)12:4(401)
  19. Li, L., Song, G. and Ou, J. (2011), "Hybrid active mass damper (AMD) vibration suppression of nonlinear high-rise structure us-ing fuzzy logic control algorithm under earthquake excitations", Struct. Control Health Monitor., 18(6), 698-709. https://doi.org/10.1002/stc.402
  20. Liang, L., Feng, Z. and Chen, Z. (2019), "Seismic control of SDOF systems with nonlinear eddy current dampers", Appl. Sci., 9(16), 3427. https://doi.org/10.3390/app9163427
  21. Lin, W.-H. and Chopra, A.K. (2002), "Earthquake response of elastic SDF systems with non-linear fluid viscous dampers", Earthq. Eng. Struct. Dyn., 31(9), 1623-1642. https://doi.org/10.1002/eqe.179
  22. Lin, W., Song, G. and Chen, S. (2017), "PTMD Control on a Benchmark TV Tower under Earthquake and Wind Load Excitations", Appl. Sci.-Basel, 7(4), 425. https://doi.org/10.3390/app7040425
  23. Liu, W., Guo, Y., Dong, X. and He, W. (2019), "Earthquake response control of a super high-rise structure subjected to long-period ground motions via a novel viscous damped system with multilever mechanism", Struct. Des. Tall Special Build., 28(7), e1600. https://doi.org/10.1002/tal.1600
  24. Lu, X., Zhang, Q., Weng, D., Zhou, Z., Wang, S., Mahin, S.A., Ding, S. and Qian, F. (2017), "Improving performance of a super tall building using a new eddy-current tuned mass damper", Struct. Control Health Monitor., 24(3), e1882. https://doi.org/10.1002/stc.1882
  25. Mao, J.-X., Wang, H., Feng, D.-M., Tao, T.-Y. and Zheng, W.-Z. (2018), "Investigation of dynamic properties of long-span cable stayed bridges based on one-year monitoring data under normal operating condition", Struct. Control Health Monitor., 25(5), e2146. https://doi.org/10.1002/stc.2146
  26. Ni, Y.Q., Wang, J.Y. and Lo, L.C. (2005), "Influence of Stabilizing Cables on Seismic Response of a Multispan Cable Stayed Bridge", Comput.-Aided Civil Infrastruct. Eng., 20(2), 142-153. https://doi.org/10.1111/j.1467-8667.2005.00383.x
  27. Niu, H., Chen, Z., Hua, X. and Zhang, W. (2018), "Mitigation of wind-induced vibrations of bridge hangers using tuned mass dampers with eddy current damping", Smart Struct. Syst., Int. J., 22(6), 727-741. https://doi.org/10.12989/sss.2018.22.6.727
  28. Pan, C. and Zhang, R. (2018), "Design of structure with inerter system based on stochastic response mitigation ratio", Struct. Control Health Monitor., 25(6), e2169. https://doi.org/10.1002/stc.2169
  29. Pan, C., Zhang, R., Luo, H., Li, C. and Shen, H. (2018), "Demand-based optimal design of oscillator with parallel-layout viscous in-erter damper", Struct. Control Health Monitor., 25(1), e2051. https://doi.org/10.1002/stc.2051
  30. Roy, S., Park, Y.C., Sause, R. and Fisher, J.W. (2012), "Fatigue Performance of Stiffened Pole-to-Base Plate Socket Connections in High-Mast Structures", J. Struct. Eng., 138(10), 1203-1213. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000554
  31. Shen, W., Niyitangamahoro, A., Feng, Z. and Zhu, H. (2019), "Tuned inerter dampers for civil structures subjected to earthquake ground motions: optimum design and seismic performance", Eng. Struct., 198, 109470. https://doi.org/10.1016/j.engstruct.2019.109470
  32. Shi, X., Zhu, S., Li, J.-Y. and Spencer Jr., B.F. (2016), "Dynamic behavior of stay cables with passive negative stiffness dampers", Smart Mater. Struct., 25(7), 075044. https://doi.org/10.1088/0964-1726/25/7/075044
  33. Sorace, S. and Terenzi, G. (2012a), "The damped cable system for seismic protection of frame structures - Part I: General concepts, testing and modeling", Earthq. Eng. Struct. Dyn., 41(5), 915-928. https://doi.org/10.1002/eqe.1166
  34. Sorace, S. and Terenzi, G. (2012b), "The damped cable system for seismic protection of frame structures - Part II: Design and appli-cation", Earthq. Eng. Struct. Dyn., 41(5), 929-947. https://doi.org/10.1002/eqe.1165
  35. Suarez, E., Roldan, A., Gallego, A. and Benavent-Climent, A. (2017), "Entropy analysis for damage quantification of hysteretic dampers used as seismic protection of buildings", Appl. Sci., 7(6), 628. https://doi.org/10.3390/app7060628
  36. Sun, C., Jahangiri, V. and Sun, H. (2019a), "Performance of a 3D pendulum tuned mass damper in offshore wind turbines under multiple hazards and system variations", Smart Struct. Syst., Int. J., 24(1), 53-65. https://doi.org/10.12989/sss.2019.24.1.053
  37. Sun, H., Zuo, L., Wang, X., Peng, J. and Wang, W. (2019b), "Exact H 2 optimal solutions to inerter-based isolation systems for building structures", Struct. Control Health Monitor., 26(6), e2357. https://doi.org/10.1002/stc.2357
  38. Wang, Z., Gao, H., Xu, Y., Chen, Z. and Wang, H. (2019a), "Impact of cable sag on the efficiency of an inertial mass damper in controlling stay cable vibrations", Smart Struct. Syst., Int. J., 24(1), 83-94. https://doi.org/10.12989/sss.2019.24.1.083
  39. Wang, Z.H., Xu, Y.W., Gao, H., Chen, Z.Q., Xu, K. and Zhao, S.B. (2019b), "Vibration control of a stay cable with a rotary electromagnetic inertial mass damper", Smart Struct. Syst., Int. J., 23(6), 627-639. https://doi.org/10.12989/sss.2019.23.6.627
  40. Wen, Y., Chen, Z. and Hua, X. (2017), "Design and Evaluation of Tuned Inerter-Based Dampers for the Seismic Control of MDOF Structures", J. Struct. Eng., 143(4), 04016207. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001680
  41. Yamaguchi, H. and Nagahawatta, H.D. (1995), "Damping effects of cable cross ties in cable-stayed bridges", J. Wind Eng. Indust. Aerodyn., 54-55, 35-43. https://doi.org/10.1016/0167-6105(94)00027-B
  42. Yu, J., Tang, Y., Zhu, Y., Yu, P. and Wang, X. (2014), "A compound damping cable system", Chinese Invention Patent, CN104404886B.
  43. Yu, J., Duan, Z., Zhang, X., Peng, J., Zhao, Y. (2021), "Wind-Induced Vibration Control of High-Rise Structures Using Compound Damping Cables", Shock Vib., 2021, 5537622. https://doi.org/10.1155/2021/5537622
  44. Zahrai, S.M. and Froozanfar, M. (2019), "Performance of passive and active MTMDs in seismic response of Ahvaz cable-stayed bridge", Smart Struct. Syst., Int. J., 23(5), 449-466. https://doi.org/10.12989/sss.2019.23.5.449
  45. Zhang, P., Song, G., Li, H.-N. and Lin, Y.-X. (2013), "Seismic Control of Power Transmission Tower Using Pounding TMD", J. Eng. Mech., 139(10), 1395-1406. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000576
  46. Zhang, Z., Nielsen, S.R.K., Basu, B. and Li, J. (2015), "Nonlinear modeling of tuned liquid dampers (TLDs) in rotating wind turbine blades for damping edgewise vibrations", J. Fluids Struct., 59, 252-269. https://doi.org/10.1016/j.jfluidstructs.2015.09.006
  47. Zhang, Z., Staino, A., Basu, B. and Nielsen, S.R.K. (2016), "Performance evaluation of full-scale tuned liquid dampers (TLDs) for vibration control of large wind turbines using real time hybrid testing", Eng. Struct., 126, 417-431. https://doi.org/10.1016/j.engstruct.2016.07.008
  48. Zhang, R., Ni, Y.-Q., Duan, Y. and Ko, J.-M. (2019a), "Development of a full-scale magnetorheological damper model for open-loop cable vibration control", Smart Struct. Syst., Int. J., 23(6), 553-564. https://doi.org/10.12989/sss.2019.23.6.553
  49. Zhang, R., Zhao, Z. and Dai, K. (2019b), "Seismic response mitigation of a wind turbine tower using a tuned parallel inerter mass system", Eng. Struct., 180, 29-39. https://doi.org/10.1016/j.engstruct.2018.11.020
  50. Zhou, H., Yang, X., Sun, L. and Xing, F. (2015), "Free vibrations of a two-cable network with near-support dampers and a crosslink", Struct. Control Health Monitor., 22(9), 1173-1192. https://doi.org/10.1002/stc.1738
  51. Zuo, L., Chen, X. and Nayfeh, S. (2011), "Design and Analysis of a New Type of Electromagnetic Damper with Increased Energy Density", J. Vib. Acoust., 133(4), 041006. https://doi.org/10.1115/1.4003407.
  52. Zuo, H., Bi, K. and Hao, H. (2017), "Using multiple tuned mass dampers to control offshore wind turbine vibrations under multi-ple hazards", Eng. Struct., 141, 303-315. https://doi.org/10.1016/j.engstruct.2017.03.006