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Analytical Solution for Plastic Responses of Metal Beams under Repeated Impacts Based on Membrane Factor Method
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Kai-ling GUO1, 2, Yi-jiang ZHANG2, Meng-ying MU2, Ling ZHU2
Journal of Ship Mechanics | 2024, 28(12) : 1891 - 1907
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Journal of Ship Mechanics | 2024, 28(12): 1891-1907
Structural Mechanics
Analytical Solution for Plastic Responses of Metal Beams under Repeated Impacts Based on Membrane Factor Method
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Kai-ling GUO1, 2, Yi-jiang ZHANG2, Meng-ying MU2, Ling ZHU2
Affiliations
  • 1.Key Laboratory of High Performance Ship Technology (Wuhan University of Technology), Ministry of Education, Wuhan 430063, China
  • 2.School of Naval Architecture, Ocean and Energy Power Engineering, Wuhan University of Technology, Wuhan 430063, China
  • GUO Kai-ling(1989-), male, Ph.D., associate professor

    ZHU Ling(1962-), male, Ph.D., professor, corresponding author, E-mail: .

Published: 2024-12-20 doi: 10.3969/j.issn.1007-7294.2024.12.007
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Marine structures are frequently subjected to repeated impact loadings, resulting in failure of the structures, even causing serious accidents. The analytical expressions of dimensionless permanent deflection and impact force of a metal beam based on maximal normal yield surface are derived by membrane factor method (MFM), then the results are compared with repeated impact tests. It can be found that the solutions based on MFM are between the upper and lower bounds, and very close to the results of the repeated impact tests, indicating the theoretical model proposed can predict the plastic responses of the metal beam accurately. What’s more, the influences of impact location and boundary condition on the dynamic responses of the beam subjected to repeated impacts are determined. Results show that, as the distance of impact location from the middle span of the beam increases, the permanent deflection decreases, while the impact force increases. Meanwhile, the influences of impact location enhance as the impact number increases. When the permanent deflection is smaller than the thickness, the effect of boundary condition on the plastic responses is significant. However, when the deflection is larger than the thickness, the beam will be like a string and only axial force works, resulting in little influence of boundary condition on the plastic responses of the beam.

repeated impact  /  theoretical analysis  /  membrane factor method  /  impact location  /  boundary condition
Kai-ling GUO, Yi-jiang ZHANG, Meng-ying MU, Ling ZHU. Analytical Solution for Plastic Responses of Metal Beams under Repeated Impacts Based on Membrane Factor Method[J]. Journal of Ship Mechanics, 2024 , 28 (12) : 1891 -1907 . DOI: 10.3969/j.issn.1007-7294.2024.12.007
  • National Natural Science Foundation of China(12202328; 12172265)
Year 2024 volume 28 Issue 12
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Article Info
doi: 10.3969/j.issn.1007-7294.2024.12.007
  • Receive Date:2024-06-22
  • Online Date:2026-03-26
  • Published:2024-12-20
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  • Received:2024-06-22
Funding
National Natural Science Foundation of China(12202328; 12172265)
Affiliations
    1.Key Laboratory of High Performance Ship Technology (Wuhan University of Technology), Ministry of Education, Wuhan 430063, China
    2.School of Naval Architecture, Ocean and Energy Power Engineering, Wuhan University of Technology, Wuhan 430063, China

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Corresponding author, E-mail:
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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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