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Analysis of the horizontal vibration of an end-bearing pile embedded in a transversely isotropic soil
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Zhi-qing ZHANG1, Xin LIU2, Kai-fu LIU3, Jun-tao WU4, Wen-bing WU5
Rock and Soil Mechanics | 2025, 46(11) : 3371 - 3382
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Rock and Soil Mechanics | 2025, 46(11): 3371-3382
• Fundamental Theory and Experimental Research •
Analysis of the horizontal vibration of an end-bearing pile embedded in a transversely isotropic soil
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Zhi-qing ZHANG1, Xin LIU2, Kai-fu LIU3, Jun-tao WU4, Wen-bing WU5
Affiliations
  • 1.School of Architecture and Energy Engineering, Wenzhou University of Technology, Wenzhou, Zhejiang 325035, China
  • 2.College of Marine Science and Technology, China University of Geosciences, Wuhan, Hubei 430074, China
  • 3.School of Civil Engineering and Architecture, Zhejiang Sci-Tech University, Hangzhou, Zhejiang 310018, China
  • 4.College of Civil Engineering and Architecture, Zhejiang University, Hangzhou, Zhejiang 310058, China
  • 5.Faculty of Engineering, China University of Geosciences, Wuhan, Hubei 430074, China
Published: 2025-11-14 doi: 10.16285/j.rsm.2025.0478
Outline
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Based on the dynamic theory of elastic media, the horizontal vibration of end-bearing piles embedded in a transversely isotropic soil is studied via an analytical scheme. By introducing displacement potential functions, the governing equations of the soil are decoupled, and the general solutions for the displacement and stress fields around the pile are derived using the method of separation of variables. Applying the continuity conditions at the pile–soil interface, the horizontal complex impedance of the surrounding soil is incorporated into the motion equation of the pile, leading to analytical solutions for the displacement, rotation angle, bending moment, and shear force of the pile. In addition, explicit expressions for the horizontal, rocking, and coupled horizontal–rocking dynamic impedances at the pile head are derived. Comparison with existing theoretical solutions confirms the accuracy and reliability of the proposed method. Furthermore, the influence of soil anisotropy parameters on the horizontal vibration characteristics of the pile is systematically analyzed. The results indicate that the anisotropic modulus ratio has a significant impact on the dynamic impedance at the pile head, as well as on the distribution of horizontal displacement, rotation angle, bending moment, and shear force along the pile depth.

pile  /  transversely isotropic soil  /  horizontal vibration  /  analytical solution
Zhi-qing ZHANG, Xin LIU, Kai-fu LIU, Jun-tao WU, Wen-bing WU. Analysis of the horizontal vibration of an end-bearing pile embedded in a transversely isotropic soil[J]. Rock and Soil Mechanics, 2025 , 46 (11) : 3371 -3382 . DOI: 10.16285/j.rsm.2025.0478
Funding
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  • National Natural Science Foundation of China(52178367; 52478370; 52078465)
Appendix
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Year 2025 volume 46 Issue 11
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Article Info
doi: 10.16285/j.rsm.2025.0478
  • Receive Date：2025-05-12
  • Online Date：2026-03-27
  • Published：2025-11-14
Article Data
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History
  • Received：2025-05-12
  • Accepted：2025-08-18
Funding
National Natural Science Foundation of China(52178367; 52478370; 52078465)
Affiliations
    1.School of Architecture and Energy Engineering, Wenzhou University of Technology, Wenzhou, Zhejiang 325035, China
    2.College of Marine Science and Technology, China University of Geosciences, Wuhan, Hubei 430074, China
    3.School of Civil Engineering and Architecture, Zhejiang Sci-Tech University, Hangzhou, Zhejiang 310018, China
    4.College of Civil Engineering and Architecture, Zhejiang University, Hangzhou, Zhejiang 310058, China
    5.Faculty of Engineering, China University of Geosciences, Wuhan, Hubei 430074, China
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表12种不同金属材料的力学参数
科
Family		 属数
Number of
genus		 种数
Number of
species		 占总种数比例
Percentage of
total species (%)		 属
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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