An FEM-SBFEM Coupled Method for Infinite Reservoir Responses With Uniform Cross Sections Under Seismic Excitations in Frequency and Time Domains

LI Shangming; XIAO Shifu

doi:10.21656/1000-0887.450138

Volume 46 Issue 4

Apr. 2025

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Article Navigation > Applied Mathematics and Mechanics > 2025 > 46(4): 425-437

LI Shangming, XIAO Shifu. An FEM-SBFEM Coupled Method for Infinite Reservoir Responses With Uniform Cross Sections Under Seismic Excitations in Frequency and Time Domains[J]. Applied Mathematics and Mechanics, 2025, 46(4): 425-437. doi: 10.21656/1000-0887.450138

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An FEM-SBFEM Coupled Method for Infinite Reservoir Responses With Uniform Cross Sections Under Seismic Excitations in Frequency and Time Domains

doi: 10.21656/1000-0887.450138

LI Shangming^{1, 2
,
,},
XIAO Shifu¹

1.
Institute of Systems Engineering, China Academy of Engineering Physics, Mianyang, Sichuan 621999, P.R.China
2.
Shock and Vibration of Engineering Materials and Structures Key Laboratory of Sichuan Province, Mianyang, Sichuan 621999, P.R.China

Received Date: 2024-05-13
Rev Recd Date: 2025-02-24
Publish Date: 2025-04-01

Abstract

Abstract

It is necessary to accurately calculate the dynamic responses of infinite reservoirs in seismic design and evaluation of dams. Based on the mechanical derivation technique of the scaled boundary finite element method (SBFEM), the frequency domain response formulas for the infinite reservoirs with uniform cross sections under upstream seismic excitations were derived, and the time domain response governing equations were obtained through the inverse Fourier transform. Then the SBFEM formulas of frequency domain and time domain responses of infinite reservoirs under upstream, cross-stream and vertical seismic excitations were derived by linear superposition. The FEM-SBFEM coupled equations for frequency and time domain responses of infinite reservoirs were established. Based on these proposed formulations, the time domain and frequency domain responses of the 2D or 3D infinite reservoirs with uniform cross sections under seismic excitations were analyzed. The numerical results validate the accuracy of the proposed formulations. The proposed formulations can be used to analyze harmonic and transient responses of infinite reservoirs with arbitrary geometry and absorptive reservoir bottom under seismic excitations.
- infinite reservoir,
- transient analysis,
- harmonic response analysis,
- SBFEM,
- FEM

Contributed by XIAO Shifu, M.AMM Editorial Board

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References(19)

References

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