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Simulation for non-uniform seismic motion based on frequency-wavenumber spectrum and its application in seismic analysis of long tunnels

Juncheng Wang, Yongxin Wu, Jiazhi Yang, Bin Ruan, Yue Hou Orcid Logo

Tunnelling and Underground Space Technology, Volume: 161, Start page: 106537

Swansea University Author: Yue Hou Orcid Logo

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DOI (Published version): 10.1016/j.tust.2025.106537

Abstract

The simulation of non-uniform seismic motions is critical for the seismic design of important underground structures such as long tunnels. However, the classic Spectral Representation Method (SRM) for simulating non-uniform seismic motions requires matrix decomposition, which consumes substantial me...

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Published in: Tunnelling and Underground Space Technology
ISSN: 0886-7798
Published: Elsevier BV 2025
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URI: https://cronfa.swan.ac.uk/Record/cronfa70723
first_indexed 2025-10-18T18:13:47Z
last_indexed 2025-12-05T18:10:26Z
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spelling 2025-12-04T08:46:19.4321804 v2 70723 2025-10-18 Simulation for non-uniform seismic motion based on frequency-wavenumber spectrum and its application in seismic analysis of long tunnels 92bf566c65343cb3ee04ad963eacf31b 0000-0002-4334-2620 Yue Hou Yue Hou true false 2025-10-18 ACEM The simulation of non-uniform seismic motions is critical for the seismic design of important underground structures such as long tunnels. However, the classic Spectral Representation Method (SRM) for simulating non-uniform seismic motions requires matrix decomposition, which consumes substantial memory and has low computational efficiency. This study proposes a non-uniform seismic motion simulation method based on the Frequency-Wavenumber Spectrum (FWS). The method considers the impact of different coherence function models and incorporates an acceptance-rejection scheme to optimize the computational efficiency of energy distribution. The accuracy of the method is validated by comparing the simulated values (mean, standard deviation, auto-power spectral density, and coherence) of different coherence function models with their target values. Finally, the seismic response analysis of a long tunnel subjected to seismic motions with different coherence function models and varying PGAs is conducted. The results indicate that seismic motions with different coherence function models significantly influence the maximum intersegment opening width and internal force response of the long tunnel. Seismic motions under a strong coherence model lead to greater displacement responses, whereas those under a weak coherence model induce more pronounced internal force responses. Under the influence of seismic motion coherence, the long tunnel responses exhibit notable differences under varying PGAs’ seismic motions. In particular, at higher PGAs, the response characteristics of the tunnel may change, potentially increasing the risk of structural failure. These findings provide valuable insights for the seismic design of long tunnels. Journal Article Tunnelling and Underground Space Technology 161 106537 Elsevier BV 0886-7798 Frequency-wavenumber spectrum; Non-uniform seismic motion; Coherence function; Long tunnel; Dynamic response 1 7 2025 2025-07-01 10.1016/j.tust.2025.106537 COLLEGE NANME Aerospace, Civil, Electrical, and Mechanical Engineering COLLEGE CODE ACEM Swansea University The authors would like to acknowledge the support of the National Natural Science Foundation of China under Grant No. 42377140 and the Post-graduate Research & Practice Innovation Program of Jiangsu Province under Grant No. KYCX24_0850. 2025-12-04T08:46:19.4321804 2025-10-18T19:05:46.2796146 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering Juncheng Wang 1 Yongxin Wu 2 Jiazhi Yang 3 Bin Ruan 4 Yue Hou 0000-0002-4334-2620 5
title Simulation for non-uniform seismic motion based on frequency-wavenumber spectrum and its application in seismic analysis of long tunnels
spellingShingle Simulation for non-uniform seismic motion based on frequency-wavenumber spectrum and its application in seismic analysis of long tunnels
Yue Hou
title_short Simulation for non-uniform seismic motion based on frequency-wavenumber spectrum and its application in seismic analysis of long tunnels
title_full Simulation for non-uniform seismic motion based on frequency-wavenumber spectrum and its application in seismic analysis of long tunnels
title_fullStr Simulation for non-uniform seismic motion based on frequency-wavenumber spectrum and its application in seismic analysis of long tunnels
title_full_unstemmed Simulation for non-uniform seismic motion based on frequency-wavenumber spectrum and its application in seismic analysis of long tunnels
title_sort Simulation for non-uniform seismic motion based on frequency-wavenumber spectrum and its application in seismic analysis of long tunnels
author_id_str_mv 92bf566c65343cb3ee04ad963eacf31b
author_id_fullname_str_mv 92bf566c65343cb3ee04ad963eacf31b_***_Yue Hou
author Yue Hou
author2 Juncheng Wang
Yongxin Wu
Jiazhi Yang
Bin Ruan
Yue Hou
format Journal article
container_title Tunnelling and Underground Space Technology
container_volume 161
container_start_page 106537
publishDate 2025
institution Swansea University
issn 0886-7798
doi_str_mv 10.1016/j.tust.2025.106537
publisher Elsevier BV
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering
document_store_str 0
active_str 0
description The simulation of non-uniform seismic motions is critical for the seismic design of important underground structures such as long tunnels. However, the classic Spectral Representation Method (SRM) for simulating non-uniform seismic motions requires matrix decomposition, which consumes substantial memory and has low computational efficiency. This study proposes a non-uniform seismic motion simulation method based on the Frequency-Wavenumber Spectrum (FWS). The method considers the impact of different coherence function models and incorporates an acceptance-rejection scheme to optimize the computational efficiency of energy distribution. The accuracy of the method is validated by comparing the simulated values (mean, standard deviation, auto-power spectral density, and coherence) of different coherence function models with their target values. Finally, the seismic response analysis of a long tunnel subjected to seismic motions with different coherence function models and varying PGAs is conducted. The results indicate that seismic motions with different coherence function models significantly influence the maximum intersegment opening width and internal force response of the long tunnel. Seismic motions under a strong coherence model lead to greater displacement responses, whereas those under a weak coherence model induce more pronounced internal force responses. Under the influence of seismic motion coherence, the long tunnel responses exhibit notable differences under varying PGAs’ seismic motions. In particular, at higher PGAs, the response characteristics of the tunnel may change, potentially increasing the risk of structural failure. These findings provide valuable insights for the seismic design of long tunnels.
published_date 2025-07-01T07:55:41Z
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score 11.088929

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