质量参数对空爆荷载梁构件振动位移的影响

耿少波 洪欣 郑毅 沈新月

耿少波, 洪欣, 郑毅, 沈新月. 质量参数对空爆荷载梁构件振动位移的影响[J]. 爆炸与冲击, 2024, 44(5): 053201. doi: 10.11883/bzycj-2023-0241
引用本文: 耿少波, 洪欣, 郑毅, 沈新月. 质量参数对空爆荷载梁构件振动位移的影响[J]. 爆炸与冲击, 2024, 44(5): 053201. doi: 10.11883/bzycj-2023-0241
GENG Shaobo, HONG Xin, ZHENG Yi, SHEN Xinyue. Effect of mass parameter on vibration displacement of beam member under air blast loading[J]. Explosion And Shock Waves, 2024, 44(5): 053201. doi: 10.11883/bzycj-2023-0241
Citation: GENG Shaobo, HONG Xin, ZHENG Yi, SHEN Xinyue. Effect of mass parameter on vibration displacement of beam member under air blast loading[J]. Explosion And Shock Waves, 2024, 44(5): 053201. doi: 10.11883/bzycj-2023-0241

质量参数对空爆荷载梁构件振动位移的影响

doi: 10.11883/bzycj-2023-0241
基金项目: 国家自然科学基金(51408558);山西省基础研究计划(202203021211099)
详细信息
    作者简介:

    耿少波(1982- ),男,博士,副教授,gengshaobo@nuc.edu.cn

  • 中图分类号: O383.2

Effect of mass parameter on vibration displacement of beam member under air blast loading

  • 摘要: 为研究质量参数对空爆荷载梁构件振动位移的影响,以等效单自由度法为基本方法,理论推导了柔性及刚性2类梁构件含质量参数在弹性、塑性各阶段的振动位移解,选择矩形截面、圆截面为梁构件典型截面,设计并计算了质量参数在1.00~1.20范围内的13种典型工况。结果表明:对于空爆荷载柔性及刚性2类梁构件,增大其截面面积后,仅考虑质量参数计算振动位移时误差较大,应按质量参数及产生的附加刚度参数耦合效应分析;对于矩形截面梁构件,采用质量参数与刚度参数耦合计算时,其最大弹性位移、最大弹塑性位移和残余变形降低幅度分别约为仅采用质量参数计算结果的4.75、3.28和2.96倍;对于圆截面梁构件,则分别为3.57、2.56和2.32倍;该结论在柔性梁构件及刚性梁构件均适用且无明显差异。
  • 图  1  工况C1~C5两类梁构件的弹塑性振动位移时程曲线

    Figure  1.  Displacement-time curves of elastoplastic vibration for beam members of cases C1–C5

    图  2  工况C1与C6~C9两类梁构件的弹塑性振动位移时程曲线

    Figure  2.  Displacement-time curves of elastoplastic vibration for beam members of cases C1 and C6–C9

    图  3  工况C1与C10~C13两类梁构件的弹塑性振动位移时程曲线

    Figure  3.  Displacement-time curves of elastoplastic vibration for beam members of cases C1 and C10–C13

    图  4  本文中相对基准工况的位移降低率曲线

    Figure  4.  Displacement reduction ratios of the calculation cases relative to the reference case

    表  1  质量参数典型工况

    Table  1.   Typical calculation cases for mass parameter

    工况(矩形、圆) αm αk 工况(矩形) αm αk 工况(圆) αm αk
    C1 1.00 1.00 C6 1.05 1.16 C10 1.05 1.10
    C2 1.05 1.00 C7 1.10 1.33 C11 1.10 1.21
    C3 1.10 1.00 C8 1.15 1.52 C12 1.15 1.32
    C4 1.15 1.00 C9 1.20 1.73 C13 1.20 1.44
    C5 1.20 1.00
    下载: 导出CSV

    表  2  $\beta=2 $时位移降低率以及两类梁构件差异性结果

    Table  2.   Displacement reduction ratios and difference between flexible beam members with $\beta=2 $ and rigid beam members

    工况 柔性梁构件 刚性梁构件 Δ2T/% Δ2m/% Δ2r/%
    ΔT/% Δm/% Δr/% ΔT/% Δm/% Δr/%
    C2 2.16 2.51 2.85 1.09 2.77 4.45 1.07 −0.26 −1.60
    C3 4.18 4.84 5.49 2.15 5.32 8.49 2.03 −0.48 −3.00
    C4 6.08 7.01 7.93 3.19 7.69 12.18 2.89 −0.68 −4.25
    C5 7.87 9.04 10.20 4.21 9.89 15.56 3.66 −0.85 −5.36
    C6 9.78 9.11 8.44 11.80 8.59 5.38 −2.02 0.52 3.06
    C7 18.24 17.01 15.78 21.85 16.05 10.24 −3.61 0.96 5.54
    C8 25.60 23.91 22.22 30.46 22.57 14.68 −4.86 1.34 7.54
    C9 32.04 29.97 27.89 37.87 28.32 18.76 −5.83 1.65 9.13
    C10 7.30 6.96 6.62 8.33 6.70 5.07 −1.03 0.26 1.55
    C11 13.77 13.15 12.52 15.66 12.66 9.66 −1.89 0.48 2.86
    C12 19.54 18.67 17.80 22.13 17.99 13.85 −2.59 0.68 3.95
    C13 24.70 23.62 22.55 27.88 22.78 17.68 −3.18 0.84 4.87
    下载: 导出CSV

    表  3  $\beta=5 $时位移降低率以及两类梁构件差异性结果

    Table  3.   Displacement reduction ratios and difference between flexible beam members with $\beta=5 $ and rigid beam members

    工况 柔性梁构件 刚性梁构件 Δ5T/% Δ5m/% Δ5r/%
    ΔT/% Δm/% Δr/% ΔT/% Δm/% Δr/%
    C2 1.87 2.71 2.91 0.62 3.25 3.91 1.25 −0.54 −1.00
    C3 3.64 5.21 5.60 1.23 6.25 7.50 2.41 −1.04 −1.90
    C4 5.31 7.53 8.09 1.83 9.02 10.82 3.48 −1.49 −2.73
    C5 6.89 9.70 10.40 2.41 11.58 13.88 4.48 −1.88 −3.48
    C6 10.34 8.72 8.31 12.58 7.68 6.46 −2.24 1.04 1.85
    C7 19.25 16.29 15.55 23.14 14.43 12.25 −3.89 1.86 3.30
    C8 26.99 22.91 21.89 32.08 20.40 17.48 −5.09 2.51 4.41
    C9 33.75 28.73 27.47 39.69 25.71 22.21 −5.94 3.02 5.26
    C10 7.58 6.77 6.56 8.75 6.24 5.61 −1.17 0.53 0.95
    C11 14.29 12.78 12.40 16.38 11.82 10.67 −2.09 0.96 1.73
    C12 20.26 18.16 17.63 23.10 16.83 15.26 −2.84 1.33 2.37
    C13 25.60 22.99 22.34 29.03 21.36 19.44 −3.43 1.63 2.90
    下载: 导出CSV
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出版历程
  • 收稿日期:  2023-07-07
  • 修回日期:  2023-11-02
  • 网络出版日期:  2023-12-29
  • 刊出日期:  2024-05-08

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