Earthquakes and Structures

  • 제20권4호
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  • Pages.405-415
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  • 2021
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  • 2092-7614(pISSN)
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  • 2092-7622(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Seismic responses of hyperbolic cooling towers under horizontal and vertical earthquake

  • Zhang, Jun-Feng (School of Civil Engineering, Zhengzhou University) ;
  • Wang, Yuan-Hao (School of Civil Engineering, Zhengzhou University) ;
  • Li, Jie (School of Civil Engineering, Zhengzhou University) ;
  • Zhao, Lin (State Key Laboratory for Disaster Reduction in Civil Engineering, Tongji University)
  • 투고 : 2019.11.19
  • 심사 : 2021.03.22
  • 발행 : 2021.04.25
⟨ 이전 논문 다음 논문 ⟩

초록

Following the dynamic property analysis and elaboration, linear response spectrum analysis (RSA) and response history analysis (RHA) were conducted on a representative hyperbolic cooling towers (HCT) in present study. The seismic responses in tower shell were illustrated in detail, including the internal force amplitude, modal contribution, influence from damping ratio, comparison of results got from RSA and RHA and especially the latitude distributions of internal forces. The results show that the eigenmodes could be classified in a new method into four types according to their mode shapes and only the lateral bending modes and vertical stretching modes are meaningful for horizontal and vertical earthquake correspondingly. The bending modes and seismic deformation display the same feature which is global lateral bending accompanied by minute circular flow displacement of section. This feature also decides the latitude distributions of internal forces as sine or cosine. Moreover, the following method is also proposed for approximate estimation of internal force amplitudes without time-consuming response history analysis: getting the response spectrums of the selected ground accelerations and then comparing values of response spectrums at the natural period of first lateral bending mode because it is always prime dominant for horizontal seismic responses.

키워드

참고문헌

  1. Abu-Sitta, S.H. and Davenport, A.G. (1970), "Earthquake design of cooling towers", J. Struct. Div., ST9, 1889-1902. https://doi.org/10.1061/jsdeag.0002690.
  2. Abu-Sitta, S.H. and Hashish, M.G. (1973), "Dynamic wind stresses in hyperbolic cooling towers", J. Struct. Div., 99(9), 1823-1835. https://doi.org/10.1061/jsdeag.0003600.
  3. Angelides, M. (2016), "Seismic considerations in the design of columns for large cooling towers", J. Int. Assoc. Shell Spatial Struct., 57(1), 67-74. https://doi.org/10.20898/j.iass.2016.187.767.
  4. Basu, P.K. and Gould, P.L. (1980), "Cooling towers using measured wind data", J. Struct. Div., 106(3), 579-600. https://doi.org/10.1061/jsdeag.0005382.
  5. Busch, D., Harte, R. and Niemann, H. J. (1998), "Study of a proposed 200m high natural draught cooling tower at power plant Frimmersdorf/Germany", Eng. Struct., 20(10), 920-927. https://doi.org/10.1016/S0141-0296(97)00120-X
  6. Casucci, D., Andres, M. and Woermann, R. (2016), "Suitability of cooling towers in areas prone to earthquakes", J. Int. Assoc. Shell Spatial Struct., 57(1), 75-82. https://doi.org/10.20898/j.iass.2016.187.770.
  7. Chopra A.K. (2012), Dynamics of Structures: Theory and Applications Earthquake Engineering, Boston: Prentice Hall.
  8. Clough R.W. and Penzien J. (2003), Dynamics of Structures New York, McGraw-Hill.
  9. GB/T 50102 (2014), Code for design of cooling for industrial recalculating water, Ministry of Housing and Urban-Rural Development of PRC.
  10. DL/T 5339 (2018), Code for hydraulic design of fossil fuel power plants. National Energy Administration of PRC.
  11. GB 50011 (2010), Code for Seismic Design of Buildings, Ministry of Housing and Urban-Rural Development of PRC.
  12. Davenport, A.G. and Isyumov, N. (1967), Written Contribution of Session 3 Proc. 1 st NDCT, London, June.
  13. Gould, P.L. and Lee, S.L. (1967), "Hyperbolic cooling towers under seismic design load", J. Struct. Div., ST3(93), 87-109. https://doi.org/10.1061/jsdeag.0001721.
  14. Isyumov, N., Abu-Sitta, S.H. and Davenport, A.G. (1972), "Approaches to the design of hyperbolic cooling towers against the dynamic action of wind and earthquakes", Bull. Int. Assoc. Shell Struct., 48, 3-22.
  15. Jeary, A.P., Fridline, D. and Wang, L. (2011), "Dynamic stability considerations for a natural-draft cooling tower under repair with hurricane-force wind action", 13th International Conference on Wind Engineering, Amsterdam, July.
  16. Juhasova, E., Bittnar, Z. and Fischer, O. (1983), "Vibration characteristics of a cooling-tower shell", J. Wind Eng. Ind. Aerod., 12(2), 145-154. https://doi.org/10.1016/0167-6105(83)90067-3.
  17. Ke, S.T., Ge, Y.J. and Zhao, L. (2015), "Wind-induced vibration characteristics and parametric analysis of large hyperbolic cooling towers with different feature sizes". Struct. Eng. Mech., 54(5), 891-908. https://doi.org/10.12989/sem.2015.54.5.891.
  18. Ke, S.T., Yu, W., Xu, L., Ge Y.J. and Tamura, Y. (2018), "Identification of damping ratio and its influences on wind- and earthquake-induced effects for large cooling towers", Struct. Design. Tall Spec. Build., 27(12), 1-20. https://doi.org/10.1002/tal.1488.
  19. Lang, C. and Wittek, U. (2002), "Non-linear earthquake analysis for RC natural draught cooling towers", J. IASS 43(140), 143-158.
  20. Lee, B.J. and Gould, P.L. (1985), "Seismic response of pile supported cooling towers", J. Struct. Eng., 111(9), 1930-1947. https://doi.org/10.1061/(asce)0733-9445(1985)111:9(1930).
  21. Michiels, T. and Adriaenssens, S. (2017), "Identification of key design parameters for earthquake resistance of reinforced concrete shell structures", Eng. Struct., 153, 411-420. https://doi.org/10.1016/j.engstruct.2017.10.043.
  22. Nasir, A.M., Thambiratnam, D.P., Butler, D. and Austin P. (2002), "Dynamics of axisymmetric hyperbolic shell structures", Thin Wall Struct., 40(7-8), 665-690. https://doi.org/10.1016/s0263-8231(02)00019-8.
  23. Ozgan, K., Karakas, A.I. and Daloglu, A.T. (2016), "Earthquake analysis of hyperbolic cooling towers", Pamukkale Uni. J. Eng. Scien., 22(6), 433-441. https://doi.org/10.5505/pajes.2015.71601.
  24. Yu, Q.Q., Gu, X.L., Li, Y. and Lin, F. (2016), "Collapse-resistant performance of super-large cooling towers subjected to seismic actions", Eng. Struct., 108, 77-89. https://doi.org/10.1016/j.engstruct.2015.11.023.
  25. Singh, M.P. and Gupta, A.K. (1976), "Gust factors for hyperbolic cooling towers", J. Struct. Div., 102(2), 371-386. https://doi.org/10.1061/jsdeag.0004283.
  26. Sabouri-Ghomi, S., Nik, F.A., Roufegarinejad, A. and Bradford, M. A. (2006), "Numerical study of the nonlinear dynamic behaviour of reinforced concrete cooling towers under earthquake excitation", Adv. Struct. Eng., 9(3), 433-442. https://doi.org/10.1260/136943306777641940.
  27. Song, F., Guan, Z. and Li, J. (2015), "Shaking table model test for a super-large hyperbolic cooling tower", Struct. Eng, 31(6), 166-171. https://doi.org/10.15935/j.cnki.jggcs.2015.06.025.
  28. Weng X.R., Dai J.W. and Hu Y. (2013), "Shaking table test for the 1/30 model of a super huge R/C cooling tower", J. Fuzhou University, 41(4), 699-703. https://doi.org/10.1007/978-3-658-02810-7_23.
  29. Winney, P.E. (1978), "The modal properties of model and full scale cooling towers", J. Sound Vib., 57(1), 131-148. https://doi.org/10.1016/0022-460X(78)90285-7.
  30. Wolf, J.P. (1986). "Seismic analysis of cooling towers", Eng. Struct., 8(3), 191-198. https://doi.org/10.1016/0141-0296(86)90052-0.
  31. Wolf, J.P. and Skrikerud, P.E. (1980), "Influence of geometry and of the constitutive law of the supporting columns on the seismic response of a hyperbolic cooling tower", Earthq. Eng. Struct. Dyn., 8(5), 415-437. https://doi.org/10.1002/eqe.4290080505.
  32. Wolf, J.P. and Obernhuber, P. (1981). "Effects of horizontally propagating waves on the response of structures with a soft first storey", Earthq. Eng. Struct. Dyn., 9(5), 1-21. https://doi.org/10.1002/eqe.4290090102.
  33. Zhang, J.F., Ge, Y.J., Zhao, L. and Zhu B. (2017), "Wind induced dynamic responses on hyperbolic cooling tower shells and the equivalent static wind load", J. Wind Eng. Ind. Aerod., 169, 280-289. https://doi.org/10.1016/j.jweia.2017.08.002.
  34. Zhu, J., Xu, Y., Bai, G. and Li, R. (2013), "Random response analysis of a large-size cooling tower subjected to the stationary earthquake motion", Appl. Mech. Mater., 423-426, 1589-1593. https://doi.org/10.4028/www.scientific.net/AMM.423-426.1589.