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Simplified analysis of seismic performance of rectangular single-span underground structures based on the restraint effect of nonlinear spring
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Hongtao LIU1, Binglin HU1, Runbo HAN2, Chengshun XU3, Xiuli DU3
Earthquake Engineering and Engineering Dynamics | 2025, 45(2) : 14 - 21
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Earthquake Engineering and Engineering Dynamics | 2025, 45(2): 14-21
Simplified analysis of seismic performance of rectangular single-span underground structures based on the restraint effect of nonlinear spring
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Hongtao LIU1, Binglin HU1, Runbo HAN2, Chengshun XU3, Xiuli DU3
Affiliations
  • 1.School of Civil and Transportation Engineering, Beijing University of Civil Engineering and Architecture, Beijing 100044, China
  • 2.School of Resources, Environment and Architectural Engineering, Chifeng University, Chifeng 024000, China
  • 3.Key Laboratory of Urban Security and Disaster Engineering of the Ministry of Education, Beijing University of Technology, Beijing 100124, China
Published: 2025-04-24 doi: 10.13197/j.eeed.2025.0202
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This paper proposes a nonlinear spring restraint structure to overcome the limitations of the static thrust test method in evaluating underground structure systems. Considering the difficulties of soil-structure interaction, high costs, and limited observability of test phenomena, the proposed approach integrates basic principle of the reaction displacement method for underground structures. It recognizes that the traditional elastic spring fails to capture soil state changes during loading, thus prompting the introduction of a more dynamic spring-structure system. It suggests using nonlinear springs instead of soils for analyzing seismic performance. Through Pushover analysis on a single-span underground structure model, the influence of factors such as the axial compression ratio and spring-structure interaction on mechanical performance is investigated. Comparing bending moment capacity curves of key sections shows that the static thrust overlay model for spring-underground structures is suitable for seismic analysis of underground structures. Up to an inter-story displacement angle of 1/200, both the linear and nonlinear spring models are highly accurate, but beyond this threshold, the nonlinear spring model is significantly superior. The simplified analysis method for seismic performance of nonlinear spring-underground structure systems provides insights into the complex force behaviors of underground structures.

underground structure  /  Pushover analysis method  /  spring-underground structure system  /  soil-structure interaction  /  seismic performance
Hongtao LIU, Binglin HU, Runbo HAN, Chengshun XU, Xiuli DU. Simplified analysis of seismic performance of rectangular single-span underground structures based on the restraint effect of nonlinear spring[J]. Earthquake Engineering and Engineering Dynamics, 2025 , 45 (2) : 14 -21 . DOI: 10.13197/j.eeed.2025.0202
Year 2025 volume 45 Issue 2
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Article Info
doi: 10.13197/j.eeed.2025.0202
  • Receive Date:2024-04-22
  • Online Date:2026-03-20
  • Published:2025-04-24
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History
  • Received:2024-04-22
  • Revised:2024-05-29
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Affiliations
    1.School of Civil and Transportation Engineering, Beijing University of Civil Engineering and Architecture, Beijing 100044, China
    2.School of Resources, Environment and Architectural Engineering, Chifeng University, Chifeng 024000, China
    3.Key Laboratory of Urban Security and Disaster Engineering of the Ministry of Education, Beijing University of Technology, Beijing 100124, China
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https://castjournals.cast.org.cn/joweb/dzgcygczd/EN/10.13197/j.eeed.2025.0202
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表12种不同金属材料的力学参数

Family
属数
Number of
genus
种数
Number of
species
占总种数比例
Percentage of
total species (%)

Genus
种数
Number of
species
占总种数比例
Percentage of total
species (%)
鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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