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基于双折线抗力模型的空爆荷载梁式构件振动位移研究

耿少波 陈佳龙 赵洲 牛艳伟

耿少波, 陈佳龙, 赵洲, 牛艳伟. 基于双折线抗力模型的空爆荷载梁式构件振动位移研究[J]. 爆炸与冲击. doi: 10.11883/bzycj-2021-0524
引用本文: 耿少波, 陈佳龙, 赵洲, 牛艳伟. 基于双折线抗力模型的空爆荷载梁式构件振动位移研究[J]. 爆炸与冲击. doi: 10.11883/bzycj-2021-0524
GENG Shaobo, CHEN Jialong, ZHAO Zhou, NIU Yanwei. A study on displacements of beam members subjected to air blast loading by the bilinear resistance model[J]. Explosion And Shock Waves. doi: 10.11883/bzycj-2021-0524
Citation: GENG Shaobo, CHEN Jialong, ZHAO Zhou, NIU Yanwei. A study on displacements of beam members subjected to air blast loading by the bilinear resistance model[J]. Explosion And Shock Waves. doi: 10.11883/bzycj-2021-0524

基于双折线抗力模型的空爆荷载梁式构件振动位移研究

doi: 10.11883/bzycj-2021-0524
基金项目: 国家自然科学基金(51408558);旧桥检测与加固技术交通运输行业重点实验室(长安大学)开放基金(300102212516)
详细信息
    作者简介:

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

    通讯作者:

    牛艳伟(1981- ),男,博士,副教授,niuyanwei@chd.edu.cn

  • 中图分类号: O383.2

A study on displacements of beam members subjected to air blast loading by the bilinear resistance model

  • 摘要: 为研究双折线抗力模型对空爆荷载梁式构件振动位移的影响,提出了柔性、刚性两类梁式构件正向弹塑性振动及回弹阶段弹塑性振动的分析法。应用等效单自由度法建立了各阶段振动方程并依据不同的初始条件推导出了各阶段的理论解。采用此理论解和代表性塑性强化系数,开展了双折线抗力模型中不同塑性强化程度对两类梁式构件正向弹塑性振动及回弹阶段弹塑性振动位移的典型工况验证。研究结果表明:基于双折线抗力模型位移理论解的适用范围更广;随着双折线抗力模型塑性强化系数的增大,两类梁式构件的最大弹塑性位移、残余变形均逐渐减小,且残余变形降低程度高于最大弹塑性位移;塑性强化系数增大到一定程度,梁式构件回弹阶段将出现塑性振动位移,进一步降低残余变形,无塑性回弹位移的理想弹塑性抗力模型会高估空爆荷载下梁式构件的残余变形。
  • 图  1  双折线抗力模型等效单自由度体系

    Figure  1.  Equivalent single degree of freedom system of bilinear resistance model

    图  2  柔性构件(ωti=0.2)弹塑性振动时程曲线

    Figure  2.  Time history curves of elastoplastic vibration for flexible members (ωti=0.2)

    图  3  刚性构件(ωti=2.0)弹塑性振动时程曲线

    Figure  3.  Time history curves of elastoplastic vibration for rigid members (ωti=2.0)

    图  4  塑性回弹状态与塑性强化系数的关系

    Figure  4.  Relationship between plastic rebound state and plastic hardening coefficient

    表  1  相对于理想弹塑性抗力模型的差异性结果

    Table  1.   Difference results relative to ideal elastoplastic resistance model

    α柔性构件刚性构件
    β=2β=5β=2β=5
    γβ/%γr/%γβ/%γr/%γβ/%γr/%γβ/%γr/%
    0.01−0.5−1.4−1.2−2.5−0.5−1.5−1.2−2.6
    0.05−1.0−6.9−5.2−12.7−1.5−7.1−5.6−13.0
    0.1−2.0−13.6−9.4−31.1−2.5−13.9−10.0−30.5
    0.2−3.5−30.1−15.6−60.7−4.0−30.4−16.6−61.2
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出版历程
  • 收稿日期:  2021-12-21
  • 修回日期:  2022-07-08
  • 网络出版日期:  2022-08-10

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