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Theoretical study of influence of mass on displacement response of beam members under uniform blast loading
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Shao-bo GENG, Xin HONG, Yi ZHENG, Xin-yue SHEN
Journal of Ship Mechanics | 2026, 30(1) : 119 - 134
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Journal of Ship Mechanics | 2026, 30(1): 119-134
Structural Mechanics
Theoretical study of influence of mass on displacement response of beam members under uniform blast loading
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Shao-bo GENG, Xin HONG, Yi ZHENG, Xin-yue SHEN
Affiliations
  • School of Environment and Safety Engineering, North University of China, Taiyuan 030051, China
Published: 2026-01-15 doi: 10.3969/j.issn.1007-7294.2026.01.012
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In order to study the influence of mass increase and the corresponding added damping and stiffness on the displacement response of beam members under a uniform blast loading, the elastic-plastic displacement solutions of beam members with mass parameters as variables were derived, using the ductility ratio to control the extent of plastic deformation. Using a rectangular section as representative case for beam members, we designed 17 calculation cases for the parameters of mass, additional damping, and additional stiffness. The effect of these parameters on the vibration displacement of beam members under uniform blast loading was analyzed, particularly the impact on peak elastic and the peak elastic-plastic displacement. The comparison of LS-DYNA numerical simulation verification and theoretical results of the displacement response of the rectangular section steel beam under blast loading was completed, which verified the reliability of the theoretical method proposed in this paper. The results show that the reduction of various peak displacements can be achieved by adding mass and the degree of reduction is lower than that of adding mass. The single effect of additional damping in the mass-damping-stiffness coupling calculation may increase the peak displacement reduction by more than 3 times of that obtained from the mass-damping coupling alone. The additional stiffness effect, when included in the mass-damping-stiffness coupling, reduces peak elastic displacements to similar degree as mass-stiffness coupling alone. The coupling calculation method of mass, additional damping, and additional stiffness should be uesd for the blast-resistant beam design.

blast loading  /  beam member  /  dynamic response  /  mass  /  damping  /  stiffness
Shao-bo GENG, Xin HONG, Yi ZHENG, Xin-yue SHEN. Theoretical study of influence of mass on displacement response of beam members under uniform blast loading[J]. Journal of Ship Mechanics, 2026 , 30 (1) : 119 -134 . DOI: 10.3969/j.issn.1007-7294.2026.01.012
Year 2026 volume 30 Issue 1
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doi: 10.3969/j.issn.1007-7294.2026.01.012
  • Receive Date:2025-04-12
  • Online Date:2026-07-07
  • Published:2026-01-15
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  • Received:2025-04-12
Affiliations
    School of Environment and Safety Engineering, North University of China, Taiyuan 030051, China
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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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