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Variational limit equilibrium stability analysis of homogeneous soil slope under earthquake action
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Shunwang ZHU1, Fengxi ZHOU1, 2, Yuwang LIANG1
Journal of Vibration Engineering | 2025, 38(7) : 1638 - 1644
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Journal of Vibration Engineering | 2025, 38(7): 1638-1644
Variational limit equilibrium stability analysis of homogeneous soil slope under earthquake action
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Shunwang ZHU1, Fengxi ZHOU1, 2, Yuwang LIANG1
Affiliations
  • 1.School of Civil Engineering，Lanzhou University of Technology，Lanzhou 730050，China
  • 2.Western Engineering Research Center of Disaster Mitigation in Civil Engineering of Ministry of Education，Lanzhou University of Technology，Lanzhou 730050，China
Published: 2025-07-10 doi: 10.16385/j.cnki.issn.1004-4523.202306032
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Based on the basic principle of variational method and limit equilibrium method，the stability of soil slope under earthquake action is analyzed accurately. Combining the limit equilibrium method of slope stability analysis and the pseudo-static method，the auxiliary functional under constraint conditions is constructed by introducing Lagrange multiplier into the equilibrium equation of sliding soil. The first order ordinary differential equations with the basic unknowns of potential sliding surface，normal stress of sliding surface，force of sliding body，safety factor and Lagrange multiplier are obtained by using Euler equation. The coupled nonlinear differential equations are solved numerically by using the shooting method，and an accurate solution for slope stability analysis under seismic action is obtained. The effectiveness of the model and method is verified by numerical examples.

variational limit equilibrium method  /  homogeneous soil slope  /  earthquake action  /  shooting method
Shunwang ZHU, Fengxi ZHOU, Yuwang LIANG. Variational limit equilibrium stability analysis of homogeneous soil slope under earthquake action[J]. Journal of Vibration Engineering, 2025 , 38 (7) : 1638 -1644 . DOI: 10.16385/j.cnki.issn.1004-4523.202306032
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Article Info
doi: 10.16385/j.cnki.issn.1004-4523.202306032
  • Receive Date：2023-06-14
  • Online Date：2026-02-09
  • Published：2025-07-10
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  • Received：2023-06-14
  • Revised：2023-09-20
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    1.School of Civil Engineering，Lanzhou University of Technology，Lanzhou 730050，China
    2.Western Engineering Research Center of Disaster Mitigation in Civil Engineering of Ministry of Education，Lanzhou University of Technology，Lanzhou 730050，China
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Citations
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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