爆炸载荷特征参数对无限长圆柱壳弹性动态响应的影响

张鹏宙; 董奇; 杨沙

doi:10.11883/bzycj-2020-0269

爆炸载荷特征参数对无限长圆柱壳弹性动态响应的影响

doi: 10.11883/bzycj-2020-0269

中国工程物理研究院化工材料研究所，四川绵阳 621999

基金项目: 国家自然科学基金（11872343，11672272，11372293）

详细信息

作者简介:
张鹏宙（1995－　），男，硕士研究生，zhangpengzhou18@gscaep.ac.cn

通讯作者:
董　奇（1982－　），男，博士，研究员，dongqi@caep.cn

中图分类号: O383; TJ02
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出版历程
- 收稿日期: 2020-08-07
- 修回日期: 2021-01-21
- 网络出版日期: 2021-06-10
- 刊出日期: 2021-06-05

Influence of blast loading parameters on elastic dynamic response of an infinite-length cylindrical shell

Institute of Chemical Materials, China Academy of Engineering Physics, Mianyang 621999, Sichuan, China

摘要

摘要: 采用含有三角脉冲载荷和准静压载荷的爆炸载荷加载，利用单自由度模型对无限长圆柱壳体（即等效平面应变圆环）的弹性动态响应进行了力学分析，获得了径向位移响应解析解及准静压阶段弹性响应振幅的解析解。基于所得解析解，通过控制变量法分析了载荷压力及载荷分界点时刻（即三角脉冲载荷与准静压载荷作用的分界点时刻）对径向位移最大值、准静压阶段弹性响应振幅的影响规律，更加深入地研究了爆炸载荷对结构响应的影响。本文主要从准静压幅值与三角脉冲峰值的比值以及载荷分界点时刻两个主要特征参数入手，结合结构的呼吸振动频率来研究爆炸载荷对无限长圆柱壳弹性动态响应的影响。在研究中发现存在临界时刻：当载荷分界点时刻早于临界时刻时，径向位移最大值出现在准静压阶段；当载荷分界点时刻晚于临界时刻时，获得了便于直观判断径向位移达到最大值时所处载荷阶段的分区图。基于前述解析解的分析，还获得了不同影响因素导致的振幅变化的单调性分区图，便于判别载荷压力的变化所致的准静压阶段振幅的增减趋势。通过研究获得的爆炸压力载荷对结构响应的影响规律，可为爆炸容器设计以及结构防护基础研究提供参考。
- 爆炸容器 /
- 爆炸载荷 /
- 无限长圆柱壳 /
- 动态响应 /
- 分区图
Abstract: The elastic dynamic response of an infinite-length cylindrical shell (equivalent plane strain ring) was analyzed by using the single degree of freedom (SDOF) model under blast loading with triangular pulse load and quasi-static pressure load. The analytical solutions of radial displacement response and amplitude of elastic response under quasi-hydrostatic load were obtained. Based on the analytical solution, the influence of load pressure and the moment of the load boundary point (i.e. the time instant at which the triangular pulse load ends and the quasi-static pressure load begins) on the maximum radial displacement and the amplitude of elastic response in quasi-static pressure stage was analyzed by the control variable method, and the influence of explosion load on the structural response was further studied. The influence of blast loading on the elastic dynamic response of the infinite-length cylindrical shell was studied through the ratio of quasi-static pressure amplitude to triangular pulse peak value and the moment of the load boundary point, combined with the breathing vibration frequency of the structure. It is found that there is a critical time, when the moment of the load boundary point is earlier than the critical moment, the maximum value of radial displacement appears in the quasi-static pressure stage; when the moment of the load boundary point is later than the critical moment, the maximum value of radial displacement can be conveniently determined according to the obtained partition diagram of load stage. Based on the analysis of the above analytical solution, the monotonic zonal diagram of the amplitude variation in quasi-hydrostatic stage caused by the triangular pulse load peak value and quasi-hydrostatic load peak value has obtained, which is convenient to distinguish the increasing and decreasing trend of the amplitude in quasi-hydrostatic stage caused by the load pressure variation. By obtaining the influence of explosion pressure load on the structural response, the current study may provide some guidance for the design of explosion vessels and the basic research of structural protection.
- explosion vessel /
- blast loading /
- infinite-length cylindrical shell /
- dynamic response /
- zoning diagram

HTML全文

图 1 载荷和结构

Figure 1. Load and structure

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图 2 准静态压力临界值^[10]

Figure 2. Critical value of quasi-static pressure^[10]

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图 3 当ωT_L＞7/3时径向位移达到最大值时所处载荷阶段的分区

Figure 3. Zoning diagram of the load stage when the radial displacement reaches the maximum value at ωT_L＞7/3

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图 4 径向位移曲线

Figure 4. Radial displacement curves

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图 5 径向位移曲线

Figure 5. Radial displacement curves

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图 6 径向位移曲线

Figure 6. Radial displacement curves

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图 7 由p_m1导致的准静压阶段振幅单调性分区

Figure 7. Monotonic zoning diagram of amplitude in quasi-static pressure stage caused by p_m1

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图 8 当λ不同时准静压阶段的振幅变化曲线

Figure 8. Amplitude variation curves of quasi-static pressure stage with different λ

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图 9 由p_m2导致的准静压阶段振幅的单调性分区

Figure 9. Monotonic zoning diagram of amplitude in quasi-static pressure stage caused by p_m2

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图 10 当λ不同时准静压阶段的振幅变化曲线

Figure 10. Amplitude variation curves of quasi-static pressure stage with different λ

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