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Radian of the vault influencing the seismic performances of straight wall arch underground structures

  • Ma, Chao (School of Civil and Transportation Engineering, Beijing University of Civil Engineering and Architecture) ;
  • Lu, Dechun (Institute of Geotechnical and Underground Engineering, Beijing University of Technology) ;
  • Qi, Chengzhi (School of Civil and Transportation Engineering, Beijing University of Civil Engineering and Architecture) ;
  • Du, Xiuli (Institute of Geotechnical and Underground Engineering, Beijing University of Technology)
  • Received : 2019.02.23
  • Accepted : 2021.05.03
  • Published : 2021.06.10

Abstract

Great efforts have been conducted to investigate the seismic performances of the arch and rectangular underground structures, however, the differences between seismic responses of these two types of underground structures, especially the vault radian influencing the seismic responses of arch structures are not clarified. This paper presents a detailed numerical investigation on the seismic responses of arch underground structures with different vault radians, and aims to illustrate the rule that vault radian affects the seismic responses of underground structures. Five arch underground structures are built for nonlinear soil-structure interaction analysis. The internal forces of the structural components of the underground structures only under gravity are discussed detailedly, and an optimum vault radian for perfect load-carrying functionality of arch underground structures is suggested. Then the structures are analyzed under seven scaled ground motions, amounting to a total of 35 dynamic calculations. The numerical results show that the vault radian can have beneficial effects on the seismic response of the arch structure, compared to the rectangular underground structures, causing the central columns to suffer smaller axial force and horizontal deformation. The conclusions provide some directive suggestions for the seismic design of the arch underground structures.

Keywords

Acknowledgement

This study was supported by the National Natural Science Foundation of Beijing (8212007), the National Natural Science Foundation of China (51808028, 52025084, 51778026) and the Pyramid Talent Training Project of Beijing University of Civil Engineering and Architecture (JDYC20200311).

References

  1. Amorosi, A. and Boldini, D. (2009), "Numerical modelling of the transverse dynamic behavior of circular tunnels in clayey soils", Soil Dyn. Earthq. Eng., 29, 1059-1072. https://doi.org/10.1016/j.soildyn.2008.12.004.
  2. An, X.H., Shawky, A.A. and Maekawa, K. (1997), "The collapse mechanism of a subway station during the Great Hanshin Earthquake", Cement Concrete Compos., 19, 241-257. https://doi.org/10.1016/S0958-9465(97)00014-0.
  3. Ansal, A., Iyisan, R .and Yildirim, H. (2001), "The cyclic behavior of soils and effects of geotechnical factors in microzonation", Soil Dyn. Earthq. Eng., 21(5), 445-452. https://doi.org/10.1016/S0267-7261(01)00026-4.
  4. Bao, Z., Yuan, Y. and Yu, H.T. (2017), "Multi-scale physical model of shield tunnels applied in shaking table test", Soil Dyn. Earthq. Eng., 100, 465-479. https://doi.org/10.1016/j.soildyn.2017.06.021.
  5. Chen, G.X., Chen, S., Qi, C.Z., Du, X.L., Wang, Z.H. and Chen, W.Y. (2015), "Shaking table tests on a three-arch type subway station structure in a liquefiable soil", B. Earthq. Eng., 13(6), 1675-1701. https://doi.org/10.1007/s10518-014-9675-0.
  6. Chen, H.L., Jin, F.N. and Fan, H.L. (2013b), "Elastic responses of underground circular arches considering dynamic soil-structure interaction: A theoretical analysis", Acta Mechanica Sinica, 29(1), 110-122. https://doi.org/10.1007/s10409-013-0012-7.
  7. Chen, H.L., Xia, Z.C., Zhou, J.N., Fan, H.L. and Jin, F.N. (2013a), "Dynamic responses of underground arch structures subjected to conventional blast loads: Curvature effects", Arch. Civil Mech. Eng., 13(3), 322-333. https://doi.org/10.1016/j.acme.2013.04.004.
  8. Chen, Z.Y. and Shen, H. (2014), "Dynamic centrifuge tests on isolation mechanism of tunnels subjected to seismic shaking", Tunn. Undergr. Sp. Technol., 42, 67-77. https://doi.org/10.1016/j.tust.2014.02.005.
  9. Chen, Z.Y., Chen, W. and Bian, G.Q. (2014), "Seismic performance upgrading for underground structures by introducing shear panel dampers", Adv. Struct. Eng., 17(9), 1343-1357. https://doi.org/10.1260/1369-4332.17.9.1343.
  10. Cheng, X.S., Ma, L., Yu, D.P., Fan, J. and Li, D. (2018), "Seismic stability of loess tunnels under the effects of rain seepage and a train load", Sci. China Tech. Sci., 61(5), 735-747. https://doi.org/10.1007/s11431-017-9151-2.
  11. Cilingir, U. and Madabhushi, S.G. (2010), "Effect of depth on seismic response of circular tunnels", Can. Geotech. J., 48(1), 117-127. https://doi.org/10.1139/T10-047.
  12. Cilingir, U. and Madabhushi, S.G. (2011), "Effect of depth on the seismic response of square tunnels", Soil. Found., 51(3), 449-457. https://doi.org/10.3208/sandf.51.449.
  13. Du, X.L., Lu, D.C., Gong, Q.M. and Zhao, M. (2010), "A non-linear unified strength criterion for concrete under 3-D stress states", J. Eng. Mech., ASCE, 136(1), 51-59. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000055.
  14. Hashash, Y.M., Hook, J.J., Schmidt, B., John, I. and Yao, C. (2001), "Seismic design and analysis of underground structures", Tunn. Undergr. Sp. Technol., 16(4), 247-293. https://doi.org/10.1016/S0886-7798(01)00051-7.
  15. Huo, H.B., Bobet, A., Fernandez, G. and Ramirez, J. (2005), "Load transfer mechanisms between underground structure and surrounding ground: evaluation of the failure of the Daikai station", J. Geotech. Geoenviron. Eng., 131(12), 1522-1533. https://doi.org/10.1061/(ASCE)1090-0241(2005)131:12(1522).
  16. Hwang, J.H. and Lu, C.C. (2007), "Seismic capacity assessment of old Sanyi railway tunnels", Tunn. Undergr. Sp. Technol., 22(4), 433-449. https://doi.org/10.1016/j.tust.2006.09.002.
  17. Iida, H., Hiroto, T., Yoshida, N. and Iwafuji, M. (1996), "Damage to Daikai subway station", Soil. Found., Special Issue, 283-300.
  18. Kong, X.X., Liu, Q.S., Zhang, Q.B., Wu, Y.X. and Zhao, J. (2018), "A method to estimate the pressure arch formation above underground excavation in rock mass", Tunn. Undergr. Sp. Technol., 71, 382-390. https://doi.org/10.1016/j.tust.2017.09.004.
  19. Liu, H. and Tian, J.B. (2013), "Time history analysis of seismic responses of subway station structures with arched cross section", J. Earthq. Eng. Eng. Vib., 33(6), 26-32. (in Chinese) https://doi.org/10.13197/j.eeev.2013.06.26.1iuh.004.
  20. Liu, N., Huang, Q.B., Fan, W., Ma, Y.J. and Peng, J.B. (2018), "Seismic responses of a metro tunnel in a ground fissure site", Geomech. Eng., 15(2), 775-781. http://dx.doi.org/10.12989/gae.2018.15.2.775.
  21. Liu, P., Li, N., Li, Z.X., Ma, H. and Xie, L.L. (2013), "The synthetic method of seismic waves for the long period ground motion considering the characteristics of real earthquake records", Chin. Civil Eng. J., 46(12), 43-49. (in Chinese) https://doi.org/10.15951/j.tmgcxb.2013.12.001.
  22. Liu, X.Q. and Liu, J.B. (2008), "Time history analysis of elasto-plastic seismic response of a subway station structure with arched cross section based on fiber model", Eng. Mech., 25(10), 150-157. (in Chinese)
  23. Lu, D.C., Ma, C., Du, X.L. and Wang, X. (2019), "A new method for the evaluation of the ultimate seismic capacity of rectangular underground structures", Soil Dyn. Earthq. Eng., 126, 105776. https://doi.org/10.1016/j.soildyn.2019.105776.
  24. Lu, D.C., Ma, C., Du, X.L., Jin, L. and Gong, Q.M. (2017), "Development of a new nonlinear unified strength theory for geomaterials based on the concept of characteristic stresses", Int. J. Geomech., ASCE, 17(2), 1-11. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000729.
  25. Ma, C., Lu, D.C. and Du, X.L. (2018a), "Seismic performance upgrading for underground structures by introducing sliding isolation bearings", Tunn. Undergr. Sp. Technol., 74, 1-9. https://doi.org/10.1016/j.tust.2018.01.007.
  26. Ma, C., Lu, D.C., Du, X.L. and Qi, C.Z. (2018b), "Effect of buried depth on seismic response of rectangular underground structures considering the influence of ground loss", Soil Dyn. Earthq. Eng., 106, 278-297. https://doi.org/10.1016/j.soildyn.2017.12.021.
  27. Ma, C., Lu, D.C., Du, X.L. and Zhou, A.N. (2017), "A new approach to developing a 3D elastoplastic constitutive model for soils", Comput. Geotech., 86(1), 129-140. https://doi.org/10.1016/j.compgeo.2017.01.003.
  28. Ma, C., Lu, D.C., Du, X.L., Qi., C.Z. and Zhang, X.Y. (2019), "Structural components functionalities and failure mechanism of rectangular underground structures during earthquakes", Soil Dyn. Earthq. Eng., 119, 265-280. https://doi.org/10.1016/j.soildyn.2019.01.017.
  29. Nakamura, S., Ezaki, J. and Suetomi, I. (2000), "Evaluation of damage mechanism of subway station based on the difference damage between two damaged subway stations due to the earthquake", Proc.-JPN Soc. Civil Eng., 654, 335-354. (in Japanese)
  30. Niu, W.J. and Yu, H.T. (2016), "A new analytic solution to determine internal load of small span suspension bridge", KSCE J. Civil Eng., 20(4), 1419-1428. https://doi.org/10.1007/s12205-015-0598-3.
  31. Pelli, E. and Sofianos, A.I. (2018), "Analytical calculation of the half space stress field around tunnels under seismic loading of SV waves", Tunn. Undergr. Sp. Technol., 79, 150-174. https://doi.org/10.1016/j.tust.2018.01.019.
  32. Sawamura, Y., Kishida, K. and Kimura, M. (2016), "Experimental study on seismic resistance of a two-hinge precast arch culvert using strong earthquake response simulator", JPN Geotech. Soc. Spec. Publ., 2(48), 1684-1687. https://doi.org/10.3208/jgssp.JPN-103.
  33. Trifunac, M.D. (1971), "A method for synthesizing realistic strong ground motion", B. Seismol. Soc. Am., 61(6), 1739-1753. https://doi.org/10.1785/BSSA0610061739
  34. Tsinidis, G., Pitilakis, K., Madabhushi, G. and Heron, C. (2015), "Dynamic response of flexible square tunnels: centrifuge testing and validation of existing design methodologies", Geotechnique, 65(5), 401-417. https://doi.org/10.1680/geot.SIP.15.P.004.
  35. Wang, W.L., Wang, T.T., Su, J.J., Lin, C.H., Seng, C.R. and Huang, T.H. (2001), "Assessment of damage in mountain tunnels due to the Taiwan Chi-Chi Earthquake", Tunn. Undergr. Sp. Technol., 16, 133-150. https://doi.org/10.1016/S0886-7798(01)00047-5.
  36. Wong, H.L. and Trifuac, M.D. (1979), "Generation of artificial strong motion accelerograms", Earthq. Eng. Struct. Dyn., 7(6), 509-527. https://doi.org/10.1002/eqe.4290070602.
  37. Yamato, T., Umehara, T., Aoki, H., Nakamura, S., Ezaki, J. and Suetomi, I. (1996), "Damage to Daikai subway station of Kobe rapid transit system and estimation of its reason during the 1995 Hyogoken-Nanbu earthquake", Proc. JPN Soc. Civil Eng., 537, 303-320. https://doi.org/10.2208/jscej.1996.537_303.
  38. Yu, H.T., Cai, C., Bobet, A., Zhao, X. and Yuan, Y. (2019), "Analytical solution for longitudinal bending stiffness of shield tunnels", Tunn. Undergr. Sp. Technol., 83, 27-34. https://doi.org/10.1016/j.tust.2018.09.011.
  39. Yu, H.T., Yan, X., Bobet, A., Yuan, Y., Xu, G.P. and Su, Q.K. (2018), "Multi-point shaking table test of a long tunnel subjected to non-uniform seismic loadings", B. Earthq. Eng., 16(2), 1041-1059. https://doi.org/10.1007/s10518-017-0223-6.
  40. Zhao, H.L., Yu, H.T., Yuan, Y., Li P. and Chen, J.T. (2019), "Cyclic loading behavior of a repaired subway station after fire exposure", Tunn. Undergr. Sp. Technol., 84, 210-217. https://doi.org/10.1016/j.tust.2018.11.020.
  41. Zhou, Y., Qi, C.Z., Chen, G.X. and Chen, S. (2016), "Contrastive analysis of seismic response of multi-arch subway station structures and structure optimization", Chin. J. Undergr. Sp. Eng., 12(4), 975-983. (in Chinese)
  42. Zhuang, H.Y., Hu, Z.H., Wang, X.J. and Chen, G.X. (2015), "Seismic responses of a large underground structure in liquefied soils by FEM numerical modelling", B. Earthq. Eng., 13(12), 3645-3668. https://doi.org/10.1007/s10518-015-9790-6.