冲击载荷下轻质夹芯拱最大刚度拓扑优化及动力响应

刘颢 白震 李志强 李世强

刘颢, 白震, 李志强, 李世强. 冲击载荷下轻质夹芯拱最大刚度拓扑优化及动力响应[J]. 爆炸与冲击, 2022, 42(6): 063303. doi: 10.11883/bzycj-2021-0512
引用本文: 刘颢, 白震, 李志强, 李世强. 冲击载荷下轻质夹芯拱最大刚度拓扑优化及动力响应[J]. 爆炸与冲击, 2022, 42(6): 063303. doi: 10.11883/bzycj-2021-0512
LIU Hao, BAI Zhen, LI Zhiqiang, LI Shiqiang. Maximum stiffness topology optimization and dynamic response of a lightweight sandwich arch under impact load[J]. Explosion And Shock Waves, 2022, 42(6): 063303. doi: 10.11883/bzycj-2021-0512
Citation: LIU Hao, BAI Zhen, LI Zhiqiang, LI Shiqiang. Maximum stiffness topology optimization and dynamic response of a lightweight sandwich arch under impact load[J]. Explosion And Shock Waves, 2022, 42(6): 063303. doi: 10.11883/bzycj-2021-0512

冲击载荷下轻质夹芯拱最大刚度拓扑优化及动力响应

doi: 10.11883/bzycj-2021-0512
基金项目: 国家自然科学基金(12072219)
详细信息
    作者简介:

    刘 颢(1996- ),男,硕士研究生,850731044@qq.com

    通讯作者:

    李世强(1986- ),男,博士,副教授,lishiqiang@tyut.edu.cn

  • 中图分类号: O347.3

Maximum stiffness topology optimization and dynamic response of a lightweight sandwich arch under impact load

  • 摘要: 基于双向渐进结构优化方法(bi-directional evolutionary structural optimization,BESO)框架,将传统动态载荷优化法中的内外层迭代引入到ABAQUS-MATLAB平台集成优化中,改进动态载荷拓扑优化流程。对初速度为100 m/s的子弹冲击下的夹芯拱结构进行拓扑优化设计和动力学响应分析。优化后夹芯拱芯层的变形模式可分为3个对称的部分,跨中区域的中部和上部主要发生压缩变形,呈现类三角点阵桁架结构,边界区域上部发生拉伸变形,下部发生压缩变形,呈现C形型结构,跨中和边界之间的过渡区域以拉弯联合变形为主,呈现Y形结构。通过与两种等质量的拱结构对比,分析了3种结构在不同初速度的子弹冲击下结构的挠度以及芯层的能量吸收情况。结果表明:在相同的冲击速度下,优化后的结构挠度最小,芯层比吸能最高;当冲击速度较低时,优化后的结构的抗冲击性能优势并不明显;在所研究的冲击速度范围内,冲击速度越高,优化后结构的抗冲击性能越好。对比对称载荷与非对称载荷(冲击点偏移量为100%)下2种优化结构在不同载荷工况下的动态响应,结果表明:载荷工况不同,得到的最终优化结果也略有所不同,但在相同载荷下结构的响应相差较小,每种工况下得到的优化结果在相应工况下所展现的力学性能略优,但均明显优于传统结构。因此,在对称冲击载荷下优化所得的结构具有一定的普遍性。
  • 图  1  ABAQUS-MATLAB平台集成优化流程

    Figure  1.  ABAQUS-MATLAB platform integration optimization process

    图  2  静态载荷等效过程

    Figure  2.  Static load equivalent process

    图  3  优化流程

    Figure  3.  Optimized process

    图  4  冲击载荷下夹芯拱模型

    Figure  4.  The sandwich arch model under impact load

    图  5  芯层结构的优化结果

    Figure  5.  Optimization result of a sandwich structure

    图  6  夹芯拱结构优化历程

    Figure  6.  The process of sandwich arch structure optimization

    图  7  不同类型芯层夹芯结构上、下面板速度时程曲线

    Figure  7.  Velocity versus time histories of the mid-span of the top and bottom panels for two types of sandwich response[34]

    图  8  经优化后的夹芯拱上、下面板速度时程曲线

    Figure  8.  Velocity-time curves of top and bottom panels of the optimized sandwich arch

    图  9  经过优化后的结构在v0=100 m/s子弹冲击下的响应过程

    Figure  9.  Response process of the optimized structure under the impact of a projectile with the initial velocity of 100 m/s

    图  10  2种不同芯层等质量对照模型

    Figure  10.  Two different core models with equal mass

    图  11  两模型上、下面板速度时程曲线

    Figure  11.  Velocity-time curves of the top and bottom panels of two models

    图  12  上面板挠度-时间曲线

    Figure  12.  Deflection-time curves of top panles

    图  13  下面板挠度-时间曲线

    Figure  13.  Deflection-time curves of bottom panels

    图  14  3种模型在不同速度冲击下的动态响应

    Figure  14.  Dynamic response of the three models at different impact velocities

    图  15  非对称载荷下夹芯拱模型

    Figure  15.  The sandwich arch model under asymmetric load

    图  16  非对称载荷下优化结果

    Figure  16.  Optimization result under asymmetric load

    图  17  4种模型在子弹偏移量w=0 mm (δ=0)下的动态响应

    Figure  17.  Dynamic response of the four models under w=0 mm (δ=0) of a projectile

    图  18  4种模型在子弹偏移量w=5 mm(δ=1)下的动态响应

    Figure  18.  Dynamic response of the four models under w=5 mm (δ=1) of projectile

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出版历程
  • 收稿日期:  2021-12-16
  • 修回日期:  2022-04-15
  • 网络出版日期:  2022-05-05
  • 刊出日期:  2022-06-24

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