Skip to main content
SpringerLink
Log in

Seismic wave input method for three-dimensional soil-structure dynamic interaction analysis based on the substructure of artificial boundaries

  • Published:
Earthquake Engineering and Engineering Vibration Aims and scope Submit manuscript

Abstract

The method of inputting the seismic wave determines the accuracy of the simulation of soil-structure dynamic interaction. The wave method is a commonly used approach for seismic wave input, which converts the incident wave into equivalent loads on the cutoff boundaries. The wave method has high precision, but the implementation is complicated, especially for three-dimensional models. By deducing another form of equivalent input seismic loads in the finite element model, a new seismic wave input method is proposed. In the new method, by imposing the displacements of the free wave field on the nodes of the substructure composed of elements that contain artificial boundaries, the equivalent input seismic loads are obtained through dynamic analysis of the substructure. Subsequently, the equivalent input seismic loads are imposed on the artificial boundary nodes to complete the seismic wave input and perform seismic analysis of the soil-structure dynamic interaction model. Compared with the wave method, the new method is simplified by avoiding the complex processes of calculating the equivalent input seismic loads. The validity of the new method is verified by the dynamic analysis numerical examples of the homogeneous and layered half space under vertical and oblique incident seismic waves.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Alterman ZS, Aboudi J and Karal FC (1970), “Pulse Propagation in a Laterally Heterogeneous Solid Elastic Sphere,” Geophysical Journal of the Royal Astronomical Society, 21(3): 243–260.

    Article  Google Scholar 

  • Amorosi A and Boldini D (2009), “Numerical Modelling of the Transverse Dynamic Behaviour of Circular Tunnels in Clayey Soils,” Soil Dynamics and Earthquake Engineering, 29(6): 1059–1072.

    Article  Google Scholar 

  • Bardet JP, Ichii K and Lin C (2000), EERA—A Computer Program for Equivalent-Linear Earthquake Site Response Analyses of Layered Soil Deposits, University of Southern California, Los Angeles.

    Google Scholar 

  • Bazyar M and Song C (2017), “Analysis of Transient Wave Scattering and its Applications to Site Response Analysis Using the Scaled Boundary Finite-Element Method,” Soil Dynamics and Earthquake Engineering, 98: 191–205.

    Article  Google Scholar 

  • Chen Guoxing, Jin Dandan, Zhu Jiao, Shi Jian and Li Xiaojun (2015), “Nonlinear Analysis on Seismic Site Response of Fuzhou Basin, China,” Bulletin of the Seismological Society of America, 105(2): 928–949.

    Article  Google Scholar 

  • Du Xiuli and Zhao Mi (2010), “A Local Time-domain Transmitting Boundary for Simulating Cylindrical Elastic Wave Propagation in Infinite Media,” Soil Dynamics and Earthquake Engineering, 30(10): 937–946.

    Article  Google Scholar 

  • Gutierrez JA and Chopra AK (1978), “A Substructure Method for Earthquake Analysis of Structures Including Structure-Soil Interaction,” Earthquake Engineering and Structural Dynamics, 6(1): 51–69.

    Article  Google Scholar 

  • Hashash YMA, Hook JJ, Schmidt B and Yao IC (2001), “Seismic Design and Analysis of Underground Structures,” Tunnelling and Underground Space Technology Incorporating Trenchless Technology, 16(4): 247–293.

    Article  Google Scholar 

  • Hashash YMA, Karina K, Koutsoftas D and O’Riordan N (2010), “Seismic Design Considerations for Underground Box Structures,” Earth Retention Conference, 3: 620–637.

    Article  Google Scholar 

  • Huang Jingqi, Du Xiuli, Jin Liu and Zhao Mi (2016), “Impact of Incident Angles of P Wave on the Dynamic Responses of Long Lined Tunnels,” Earthquake Engineering and Structural Dynamics, 45(15): 2435–2454.

    Article  Google Scholar 

  • Huang Jingqi, Du Xiuli, Zhao Mi and Zhao Xu (2017), “Impact of Incident Angles of Earthquake Shear (S) Waves on 3-D Non-Linear Seismic Response of Long Lined Tunnels,” Engineering Geology, 222: 168–185.

    Article  Google Scholar 

  • Jiao YY, Zhang XL, Zhao J and Liu QS (2007), “Viscous Boundary of DDA for Modeling Stress Wave Propagation in Jointed Rock,” International Journal of Rock Mechanics and Mining Sciences, 44(7): 1070–1076.

    Article  Google Scholar 

  • Joyner WB and Chen ATF (1975), “Calculation of Nonlinear Ground Response in Earthquakes,” Bulletin of the Seismological Society of America, 65(5): 1315–1336.

    Google Scholar 

  • Kim D and Yun CB (2015), “Time-domain Soil-Structure Interaction Analysis in Two-Dimensional Medium Based on Analytical Frequency-Dependent Infinite Elements,” International Journal for Numerical Methods in Engineering, 47(7): 1241–1261.

    Article  Google Scholar 

  • Knopoff L (1964), “A Matrix Method for Elastic Wave Problems,” Bull. Seismol. Soc. Am., 54(1): 431–438.

    Google Scholar 

  • Liao Zhenpeng, Huang Kongliang, Yang Baipo and Yuan Yifan (1984), “A Transmitting Boundary for Transient Wave Analyses,” Science in China Ser A, 27(10): 1063–1076.

    Google Scholar 

  • Liu Jingbo and Lu Yandong (1998), “A Direct Method for Analysis of Dynamic Soil-Structure Interaction,” China Civil Engineering Journal, 31(3): 55–64. (in Chinese)

    Google Scholar 

  • Liu Jingbo, Du Yixin, Du Xiuli, Wang Zhenyu and Wu Jun (2006), “3D Viscous-Spring Artificial Boundary in Time Domain, Earthquake Engineering and Engineering Vibration, 5(1): 93–102.

    Article  Google Scholar 

  • Liu Jingbo and Wang Yan (2006), “A 1D Time-Domain Method for 2D Wave Motion in Elastic Layered Half-Space by Antiplane Wave Oblique Incidence,” Chinese Journal of Theoretical and Applied Mechanics, 38(2): 219–225. (in Chinese)

    Google Scholar 

  • Liu Jingbo and Wang Yan (2007), “A 1D Time-Domain Method for in-Plane Wave Motion of Free Field in Layered Media,” Engineering Mechanics, 24(7): 16–22. (in Chinese)

    Google Scholar 

  • Lou Menglin, Wang Huaifeng, Chen Xi and Zhai Yongmei (2011), “Structure-Soil-Structure Interaction: Literature Review,” Soil Dynamics and Earthquake Engineering, 31(12): 1724–1731.

    Article  Google Scholar 

  • Lysmer J and Kuhlemeyer RL (1969), “Finite Dynamic Model For Infinite Media,” Journal of the Engineering Mechanics Division, ASCE, 95(4): 859–878.

    Google Scholar 

  • Naserkhaki S, Aziz FNAA and Pourmohammad H (2012), “Earthquake Induced Pounding between Adjacent Buildings Considering Soil-Structure Interaction,” Earthquake Engineering and Engineering Vibration, 11(3): 343–358.

    Article  Google Scholar 

  • Nielsen AH (2014), “Towards a Complete Framework for Seismic Analysis in Abaqus,” Proceedings of the ICE-Engineering and Computational Mechanics, 167(1): 3–12.

    Google Scholar 

  • Pan Jianwen, Zhang Chuhan, Wang Jinting and Xu Yanjie (2014), “Seismic Damage-Cracking Analysis of Arch Dams Using Different Earthquake Input Mechanisms,” Science in China Ser E, 52(2): 518–529.

    Article  Google Scholar 

  • Pitilakis K and Tsinidis G (2010), “Seismic Design of Large, Long Underground Structures: Metro and Parking Stations, Highway Tunnels,” International Geotechnical Conference geotechnical Challenges of Megacities, Geomos.

  • Sudret B, Mai C and Konakli K (2014), “Assessment of the Lognormality Assumption of Seismic Fragility Curves Using Non-Parametric Representations,” Structural Safety.

  • Sun J and Idriss IM (1992), “User’s Manual for SHAKE91,” Center for Geotechnical Modeling, 388(5–6): 279–360.

    Google Scholar 

  • Wolf JP and Obernhuber P (1982), “Free-Field Response from Inclined SH-Wave and Love-Waves,” Earthquake Engineering and Structural Dynamics, 10(6): 823–845.

    Article  Google Scholar 

  • Wolf JP and Obernhuber P (1982), “Free-Field Response from Inclined SV- and P-Waves and Rayleigh-Waves,” Earthquake Engineering and Structural Dynamics, 10(6): 847–869.

    Article  Google Scholar 

  • Wolf JP (1988), “Soil-Structure Interaction Analysis in Time Domain,” Nuclear Engineering and Design, 111(3): 381–393.

    Article  Google Scholar 

  • Xu Chengshun, Song Jia, Du Xiuli and Zhao Mi (2017), “A Local Artificial-Boundary Condition for Simulating Transient Wave Radiation in Fluid-Saturated Porous Media of Infinite Domains,” International Journal for Numerical Methods in Engineering, 112(6): 529–552.

    Article  Google Scholar 

  • Xu Qiang, Chen Jianyun, Li Jiang and Fan Shuli (2012), “New Artificial Boundary Condition for Saturated Soil Foundations,” Earthquake Engineering and Engineering Vibration, 11(1): 139–147.

    Article  Google Scholar 

  • Yan Junyi, Jin Feng, Xu Yanjie, Wang Guanglun and Zhang Chunhan (2003), “A Seismic Free Field Input Model for FE-SBFE Coupling in Time Domain,” Earthquake Engineering and Engineering Vibration, 2(1): 51–58.

    Article  Google Scholar 

  • Zhang Chuhan, Pan Jianwen and Wang Jinting (2014), “Influence of Seismic Input Mechanisms and Radiation Damping on Arch Dam Response,” Soil Dynamics and Earthquake Engineering, 29(9): 1282–1293.

    Google Scholar 

  • Zhang Xiong, Wegner JL and Haddow JB (1999), “Three-Dimensional Dynamic Soil-Structure Interaction Analysis in the Time Domain,” Earthquake Engineering and Structural Dynamics, 28(12): 1501–1524.

    Article  Google Scholar 

  • Zhao Chongbin, Valliappan S and Wang YC (1992), “A Numerical Model for Wave Scattering Problems in Infinite Media due to P- and SV- Wave Incidences,” International Journal for Numerical Methods in Engineering, 33(8): 1661–1682.

    Article  Google Scholar 

  • Zhao Chongbin and Valliappan S (1993), “A Dynamic Infinite Element for Three-Dimensional Infinite-Domain Wave Problems,” International Journal for Numerical Methods in Engineering, 36(15): 2567–2580.

    Article  Google Scholar 

  • Zhao Mi, Du Xiuli, Liu Jingbo and Liu Heng (2011), “Explicit Finite Element Artificial Boundary Scheme for Transient Scalar Waves in Two-Dimensional Unbounded Waveguide,” International Journal for Numerical Methods in Engineering, 87(11): 1074–1104.

    Article  Google Scholar 

  • Zhao Mi, Wu Lihua, Du Xiuli, Zhong Zilan, Xu Chengshun and Li Liang (2018), “Stable High-Order Absorbing Boundary Condition Based on New Continued Fraction for Scalar Wave Propagation in Unbounded Multilayer Media,” Computer Methods in Applied Mechanics and Engineering, 334: 111–137.

    Article  Google Scholar 

Download references

Acknowledgement

This work is supported by the National Natural Science Foundation of China (Grant No. 51478247) and the National Key Research and Development Program of China (Grant No. 2016YFC1402800).

Author information

Authors and Affiliations

  1. Department of Civil Engineering, Tsinghua University, Beijing, 100084, China

    Jingbo Liu, Hui Tan, Xin Bao, Dongyang Wang & Shutao Li

Authors
  1. Jingbo Liu
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Hui Tan
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Xin Bao
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Dongyang Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Shutao Li
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Hui Tan.

Additional information

Supported by: National Natural Science Foundation of China under Grant No. 51478247 and National Key Research and Development Program of China under Grant No. 2016YFC1402800

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Liu, J., Tan, H., Bao, X. et al. Seismic wave input method for three-dimensional soil-structure dynamic interaction analysis based on the substructure of artificial boundaries. Earthq. Eng. Eng. Vib. 18, 747–758 (2019). https://doi.org/10.1007/s11803-019-0534-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11803-019-0534-5

Keywords

Search

Navigation