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Vertical vibration of end-bearing pile in fractional rheological soil
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Zhenhong CHEN1, Lian WANG2, Yuanyuan YU1, Fei MA3
Chinese Journal of Computational Mechanics | 2025, 42(5) : 883 - 888
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Chinese Journal of Computational Mechanics | 2025, 42(5): 883-888
• Research Notes •
Vertical vibration of end-bearing pile in fractional rheological soil
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Zhenhong CHEN1, Lian WANG2, Yuanyuan YU1, Fei MA3
Affiliations
  • 1.Gansu Province Engineering Research Center for Comprehensive Exploration, Utilization and Protection of Mineral Resources (No. 1 Institute of Geology and Mineral Resources Exploration, Gansu Provincial Bureau of Geology and Mineral Resources Exploration and Development), Tianshui 741020, China
  • 2.School of Railway Technology, Lanzhou Jiaotong University, Lanzhou 730070, China
  • 3.Pengyang County Natural Resources Bureau of Ningxia Hui Autonomous Region, Guyuan 756500, China
Published: 2025-10-28 doi: 10.7511/jslx20240323001
Outline
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Using fractional derivatives to modify the Zener standard rheological solid model and considering the instantaneous rheological effect of the soil around the pile, a vertical coupled vibration model of the pile-soil system is constructed. The frequency-domain analytical solution of the system dynamic control equation is derived using Laplace transform and potential function decomposition methods. The time domain response under instantaneous excitation at the pile top is obtained through numerical Laplace inversion. Then, numerical examples are used to analyze the frequency domain characteristics of displacement and dynamic stiffness, and dynamic damping of end-bearing pile vertical vibration in a rheological clay layer, as well as the wave response under instantaneous excitation at the pile top. Research has found that the rheological effect of soil reduces the amplitude of pile top displacement and dynamic stiffness and the rheological effect of soil causes a decrease in the amplitude of the pile top response and a weakening of the reflected wave signal under instantaneous excitation.

rheological soil  /  fractional derivative  /  end-bearing pile  /  vertical vibration
Zhenhong CHEN, Lian WANG, Yuanyuan YU, Fei MA. Vertical vibration of end-bearing pile in fractional rheological soil[J]. Chinese Journal of Computational Mechanics, 2025 , 42 (5) : 883 -888 . DOI: 10.7511/jslx20240323001
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Article Info
doi: 10.7511/jslx20240323001
  • Receive Date：2024-03-23
  • Online Date：2026-03-24
  • Published：2025-10-28
Article Data
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History
  • Received：2024-03-23
  • Revised：2024-05-11
Funding
Affiliations
    1.Gansu Province Engineering Research Center for Comprehensive Exploration, Utilization and Protection of Mineral Resources (No. 1 Institute of Geology and Mineral Resources Exploration, Gansu Provincial Bureau of Geology and Mineral Resources Exploration and Development), Tianshui 741020, China
    2.School of Railway Technology, Lanzhou Jiaotong University, Lanzhou 730070, China
    3.Pengyang County Natural Resources Bureau of Ningxia Hui Autonomous Region, Guyuan 756500, China
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https://castjournals.cast.org.cn/joweb/jslxxb/EN/10.7511/jslx20240323001
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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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