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Influence of canyon topography amplification effect and shielding effect on bridge seismic response

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Abstract

In this paper, a two-dimensional V-shaped Canyon-Bridge model with three depth-to-half-width ratios is constructed and the theoretical solution of the physical variables of the bridge deck is derived. The wave field of V-shaped canyon under the incident anti-plane shear waves (SH waves) is derived in frequency domain based on the classical elastic wave analytic theory. The time domain wave field of canyon is obtained according to Fourier transform. The bridge displacement input is given according to the wave time-histories. The displacement responses of the bridge deck are derived from the multi-point input of the bridge, and the velocity and acceleration responses are obtained through derivation. The results show that both the amplification effect and the shielding effect of canyon on waves will affect the bridge input and response and are greatly affected by the depth-to-half-width ratio of the canyon. The dangerous location of V-shaped canyon bridges is speculated based on the theoretical results and the actual situation, which provides guidance for the seismic protection of canyon bridges. Kindly check and confirm whether the corresponding author, Mail ID and respective affiliations are correctly identified.The above issues have been checked and confirmed to be correct. Thank you very much.

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References

  1. Wang, D., Shi, P., Zhao, C.: Two-dimensional in-plane seismic response of long-span bridges under oblique P-wave incidence. Bull. Earthq. Eng. 17, 5073–5099 (2019). https://doi.org/10.1007/s10518-019-00664-7

    Article  Google Scholar 

  2. Zhang, J., Wei, K., Gao, L., et al.: Effect of V-shape canyon topography on seismic response of deep-water rigid-frame bridge based on simulated ground motions. Structures 33, 1077–1095 (2021). https://doi.org/10.1016/j.istruc.2021.05.002

    Article  Google Scholar 

  3. Zhou, G.L., Li, X.J., Meng, Q.L.: Numerical simulations of Canyon topography effects on long-span bridge with high piers under incident SH seismic waves. AMR 378–379, 789–794 (2011). https://doi.org/10.4028/www.scientific.net/AMR.378-379.789

    Article  Google Scholar 

  4. Shi, Y., Fan, S., Liu, C.: Theoretical modeling of spatially varying ground motions under ice-seawater interface and earthquake analysis of cable-stay bridges. Soil Dyn. Earthq. Eng. 120, 170–180 (2019). https://doi.org/10.1016/j.soildyn.2019.01.032

    Article  Google Scholar 

  5. Ba, Z., Wang, Y., Liang, J., et al.: 3D dynamic responses of a 2D hill in a layered half-space subjected to obliquely incident plane P-, SV- and SH-waves. Eng. Anal. Bound. Elem. 105, 129–145 (2019). https://doi.org/10.1016/j.enganabound.2019.04.004

    Article  MathSciNet  MATH  Google Scholar 

  6. Trifunac, M.D.: Scattering of plane SH waves by a semi-cylindrical canyon. Earthq. Eng. Struct. Dyn. 1, 267–281 (1972). https://doi.org/10.1002/eqe.4290010307

    Article  Google Scholar 

  7. Yang, Z., Li, X., Song, Y., et al.: Scattering of SH waves by a semi-cylindrical canyon in a radially inhomogeneous media. Waves Random Complex Media 31, 1107–1123 (2021). https://doi.org/10.1080/17455030.2019.1649741

    Article  MathSciNet  MATH  Google Scholar 

  8. Zhang, C., Liu, Q., Deng, P.: Surface motion of a half-space with a semicylindrical Canyon under P, SV, and rayleigh waves. Bull. Seismol. Soc. Am. 107, 809–820 (2017). https://doi.org/10.1785/0120160207

    Article  Google Scholar 

  9. Chang, K.-H., Tsaur, D.-H., Wang, J.-H.: Response of a shallow asymmetric V-shaped canyon to antiplane elastic waves. Proc. Math. Phys. Eng. Sci. 471, 20140215 (2015). https://doi.org/10.1098/rspa.2014.0215

    Article  MathSciNet  MATH  Google Scholar 

  10. Tsaur, D.-H., Chang, K.-H.: An analytical approach for the scattering of SH waves by a symmetrical V-shaped canyon: shallow case. Geophys. J. Int. 174, 255–264 (2008). https://doi.org/10.1111/j.1365-246X.2008.03788.x

    Article  Google Scholar 

  11. Tsaur, D.-H., Chang, K.-H., Hsu, M.-S.: An analytical approach for the scattering of SH waves by a symmetrical V-shaped canyon: deep case. Geophys. J. Int. 183, 1501–1511 (2010). https://doi.org/10.1111/j.1365-246X.2010.04806.x

    Article  Google Scholar 

  12. Zhang, N., Gao, Y., Cai, Y., et al.: Scattering of SH waves induced by a non-symmetrical V-shaped canyon. Geophys. J. Int. 191, 243–256 (2012). https://doi.org/10.1111/j.1365-246X.2012.05604.x

    Article  Google Scholar 

  13. Zhang, N., Gao, Y., Li, D., et al.: Scattering of SH waves induced by a symmetrical V-shaped canyon: a unified analytical solution. Earthq. Eng. Eng. Vib. 11, 445–460 (2012). https://doi.org/10.1007/s11803-012-0135-z

    Article  Google Scholar 

  14. Gao, Y., Zhang, N., Li, D., et al.: Effects of topographic amplification induced by a U-shaped canyon on seismic waves. Bull. Seismol. Soc. Am. 102, 1748–1763 (2012). https://doi.org/10.1785/0120110306

    Article  Google Scholar 

  15. Tsaur, D.-H., Chang, K.-H., Hsu, M.-S.: Ground motions around a deep semielliptic canyon with a horizontal edge subjected to incident plane SH waves. J Seismol. 22, 1579–1593 (2018). https://doi.org/10.1007/s10950-018-9787-0

    Article  Google Scholar 

  16. Zhang, C., Liu, Q., Deng, P.: Antiplane Scattering of SH waves by a trapezoidal valley with a circular-arc alluvium in an elastic half space. J. Earthq. Tsunami 09, 1550008 (2015). https://doi.org/10.1142/S1793431115500086

    Article  Google Scholar 

  17. Fu, J., Todorovska, M.I., Liang, J.: Correction factors for SSI effects predicted by simplified models: 2D versus 3D rectangular embedded foundations. Earthq. Eng. Struct. Dyn. 47, 1963–1983 (2018). https://doi.org/10.1002/eqe.3051

    Article  Google Scholar 

  18. Jin, L., Liang, J.: The effect of foundation flexibility variation on system response of dynamic soil–structure interaction: an analytical solution. Bull. Earthq. Eng. 16, 113–127 (2018). https://doi.org/10.1007/s10518-017-0212-9

    Article  Google Scholar 

  19. Jin, L., Liang, J.: Dynamic soil-structure interaction with a flexible foundation embedded in a half-space: closed-form analytical solution for incident plane SH waves. J. Earthq. Eng. 25, 1565–1589 (2021). https://doi.org/10.1080/13632469.2019.1586802

    Article  Google Scholar 

  20. Jin, L., Tang, G., Liang, J.: Dynamic soil–structure–equipment interaction (I): closed-form analytical solution for incident plane SH wave based on rigid foundation model. J. Earthq. Eng. 25, 2651–2667 (2021). https://doi.org/10.1080/13632469.2019.1633972

    Article  Google Scholar 

  21. Liang, J., Han, B., Todorovska, M.I., et al.: 2D dynamic structure-soil-structure interaction for twin buildings in layered half-space I: incident SH-waves. Soil Dyn. Earthq. Eng. 102, 172–194 (2017). https://doi.org/10.1016/j.soildyn.2017.08.017

    Article  Google Scholar 

  22. Liang, J., Jin, L., Todorovska, M.I., et al.: Soil–structure interaction for a SDOF oscillator supported by a flexible foundation embedded in a half-space: closed-form solution for incident plane SH-waves. Soil Dyn. Earthq. Eng. 90, 287–298 (2016). https://doi.org/10.1016/j.soildyn.2016.08.022

    Article  Google Scholar 

  23. Li, S., Zhang, F., Wang, M.-D., et al.: Seismic response sensitivity of a V-shaped canyon-crossing bridge considering the near-source canyon topographic effects. Soil Dyn. Earthq. Eng. 155, 107205 (2022). https://doi.org/10.1016/j.soildyn.2022.107205

    Article  Google Scholar 

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Acknowledgements

This work is supported by Special Fund for Basic Scientific Research in Central Universities of China-Doctoral Research and Innovation Fund Project, the National Natural Science Foundation of China [11872156] and the Natural Science Foundation of Heilongjiang Province of China [No. ZD2021A001].

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Authors and Affiliations

  1. College of Aerospace and Civil Engineering, Harbin Engineering University, Harbin, 150001, China

    Minghe Li, Zailin Yang, Menghan Sun & Yong Yang

  2. Key Laboratory of Advanced Material of Ship and Mechanics, Ministry of Industry and Information Technology, Harbin Engineering University, Harbin, 150001, China

    Zailin Yang, Menghan Sun & Yong Yang

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  1. Minghe Li
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Correspondence to Yong Yang.

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Li, M., Yang, Z., Sun, M. et al. Influence of canyon topography amplification effect and shielding effect on bridge seismic response. Arch Appl Mech 93, 3327–3340 (2023). https://doi.org/10.1007/s00419-023-02441-0

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