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Probability density evolution analysis method for bridge time-dependent reliability
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Heng ZHOU1, Xueping FAN1, 2, Yuefei LIU1, 2
Journal of Vibration Engineering | 2025, 38(7) : 1538 - 1547
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Journal of Vibration Engineering | 2025, 38(7): 1538-1547
Probability density evolution analysis method for bridge time-dependent reliability
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Heng ZHOU1, Xueping FAN1, 2, Yuefei LIU1, 2
Affiliations
  • 1.School of Civil Engineering and Mechanics，Lanzhou University，Lanzhou 730000，China
  • 2.Key Laboratory of Mechanics on Disaster and Environment in Western China，The Ministry of Education，Lanzhou University，Lanzhou 730000，China
Published: 2025-07-10 doi: 10.16385/j.cnki.issn.1004-4523.202306037
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Existing bridges undergo time-varying load effects and resistance degradation during service. The complex loads and diverse failure modes make the existing bridges face greater risks in service. Therefore，it is urgent to make time-dependent reliability assessment for the service bridges. The classical time-varying reliability analysis method is more complex and difficult as the number of random variables increases. In this paper，probability density evolution theory is introduced to solve the above problem，which is more advantageous for solving the reliability of complex structures with multiple random variables. The dynamic reliability of the existing bridge in serviceability limit state and ultimate limit state is analyzed by considering the bridge resistance degradation and load effect increase，as well as the time-varying factors such as shrinkage and creep effect of concrete bridges. The accuracy and computational efficiency for this method are compared with the Monte Carlo method，and the effectiveness of the proposed method is verified.

probability density evolution method  /  time-dependent reliability  /  bridges in service  /  Dirac sequence solution
Heng ZHOU, Xueping FAN, Yuefei LIU. Probability density evolution analysis method for bridge time-dependent reliability[J]. Journal of Vibration Engineering, 2025 , 38 (7) : 1538 -1547 . DOI: 10.16385/j.cnki.issn.1004-4523.202306037
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Article Info
doi: 10.16385/j.cnki.issn.1004-4523.202306037
  • Receive Date：2023-06-16
  • Online Date：2026-02-09
  • Published：2025-07-10
Article Data
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History
  • Received：2023-06-16
  • Revised：2023-10-18
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Affiliations
    1.School of Civil Engineering and Mechanics，Lanzhou University，Lanzhou 730000，China
    2.Key Laboratory of Mechanics on Disaster and Environment in Western China，The Ministry of Education，Lanzhou University，Lanzhou 730000，China
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表12种不同金属材料的力学参数
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Number of
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Number of
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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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