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Analytical solution of horizontal seismic response of large-diameter shaft structure considering soil tangential shear force
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Bu ZAHNG1, 2, Lidong LU1, Zhiyi CHEN3, 4, Xiuli DU1, 2
Journal of Vibration Engineering | 2025, 38(10) : 2416 - 2428
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Journal of Vibration Engineering | 2025, 38(10): 2416-2428
Analytical solution of horizontal seismic response of large-diameter shaft structure considering soil tangential shear force
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Bu ZAHNG1, 2, Lidong LU1, Zhiyi CHEN3, 4, Xiuli DU1, 2
Affiliations
  • 1.College of Architecture and Civil Engineering, Beijing University of Technology, Beijing 100124, China
  • 2.Key Laboratory of Urban Security and Disaster Engineering, Ministry of Education, Beijing University of Technology, Beijing 100124, China
  • 3.College of Civil Engineering, Tongji University, Shanghai 200092, China
  • 4.State Key Laboratory of Disaster Reduction in Civil Engineering, Tongji University, Shanghai 200092, China
doi: 10.16385/j.cnki.issn.1004-4523.202307051
Outline
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Seismic experience has shown that underground shaft structures are subjected to seismic threats and severe examples of damage have occurred. In order to obtain the seismic response of the shaft, the ‘beam-spring’ model was used to establish a system analysis model for the dynamic interaction between the large-diameter shaft and the soil based on the Pasternak foundation and the Timoshenko beam theory. On the basis of considering the normal earth pressure of site soil layer and shaft structure, the tangential shear force of site soil layer and shaft structure is further considered. The analytical solution of seismic response of large diameter shaft under horizontal earthquake was studied. The peak seismic response of the shaft along the depth direction is analyzed from the aspects of the ratio of the length to diameter of the shaft, the ratio of the inner and outer diameters, the ratio of the elastic modulus of the shaft to the site and the boundary conditions at the bottom of the shaft. The results show that the decrease of the ratio of the length to diameter of the shaft will lead to the increase of the peak response of the internal force of the shaft along the depth direction. The increase of the inner and outer diameter ratio of the shaft will reduce the peak internal force response of the shaft along the depth direction. With the increase of the ratio of the elastic modulus of the shaft to the site, the peak response of the internal force of the shaft along the depth direction will gradually increase. The displacement response of the shaft under the elastic soil foundation is larger than that of the rock-socketed foundation. The shear response under the rock-socketed foundation along the depth direction of the shaft is significantly larger than that of the elastic soil foundation, and the bending moment peak response of the rock-socketed shaft at the bottom position is larger.

seismic resistance of underground structures  /  large⁃diameter shaft  /  soil-structure dynamic interaction  /  analytical solution of seismic response
Bu ZAHNG, Lidong LU, Zhiyi CHEN, Xiuli DU. Analytical solution of horizontal seismic response of large-diameter shaft structure considering soil tangential shear force[J]. Journal of Vibration Engineering, 2025 , 38 (10) : 2416 -2428 . DOI: 10.16385/j.cnki.issn.1004-4523.202307051
Year 2025 volume 38 Issue 10
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Article Info
doi: 10.16385/j.cnki.issn.1004-4523.202307051
  • Receive Date:2023-07-18
  • Online Date:2026-02-04
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History
  • Received:2023-07-18
  • Revised:2023-11-20
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Affiliations
    1.College of Architecture and Civil Engineering, Beijing University of Technology, Beijing 100124, China
    2.Key Laboratory of Urban Security and Disaster Engineering, Ministry of Education, Beijing University of Technology, Beijing 100124, China
    3.College of Civil Engineering, Tongji University, Shanghai 200092, China
    4.State Key Laboratory of Disaster Reduction in Civil Engineering, Tongji University, Shanghai 200092, China
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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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