Dynamic response analysis of cellular projectile impacting foam sandwich beam
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摘要: 多胞子弹被广泛应用于抗爆防护结构的冲击测试中,然而其作用于夹芯结构上的真实载荷尚不明确。本文针对均匀/梯度多胞子弹冲击泡沫夹芯梁的动力学响应过程开展了理论分析、数值模拟和实验测试研究。通过将泡沫夹芯梁等效为单梁以简化分析,基于多胞子弹的冲击波模型和泡沫夹芯梁的等效单梁响应模型,构建了多胞子弹冲击泡沫夹芯梁的耦合分析模型,给出了冲击过程的控制方程。开展了均匀/梯度多胞子弹冲击泡沫夹芯梁的细观有限元模拟,并在多胞子弹的冲击测试平台上进行了试验研究。结果表明,耦合分析模型可以准确地预测不同多胞子弹冲击泡沫夹芯梁的响应过程以及这些多胞子弹产生的冲击压强。在初始动量相同但密度分布或初速度不同的多胞子弹冲击下,同一构型的泡沫夹芯梁展现出不同的力学响应,这说明多胞子弹的加载不能简单地等效为脉冲加载,多胞子弹与夹芯梁之间的耦合效应不可忽略。相较于均匀多胞子弹,梯度多胞子弹的冲击压力波形更加尖锐,在其衰减过程中展现出更强的非线性。本研究明确了多胞子弹对泡沫夹芯梁的加载效果,为仿爆炸多胞子弹的优化设计提供了理论依据。
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关键词:
Abstract: Cellular projectiles are widely used in the impact tests of protective structures, but the actual loads of cellular projectiles acting on the tested sandwich structures are still unclear. In this paper, the dynamic response process of a uniform/graded cellular projectile impacting a foam sandwich beam is studied through theoretical analysis, numerical simulation, and impact tests. The foam sandwich beam is equivalent to a monolithic beam to simplify the analysis. Based on the shock wave model of the cellular projectile and the equivalent response model of the foam sandwich beam, a coupling analysis model of the cellular projectile impacting the foam sandwich beam is developed, and its governing equations are presented. Meso-finite element simulations of a uniform/graded cellular projectile impacting a foam sandwich beam are carried out, and impact tests are performed on the test platform of cellular projectiles. It is found that the coupling analysis model can accurately predict the process of a cellular projectile impacting a foam sandwich beam and the impact pressure of the cellular projectile. Subjected by cellular projectiles with the same initial momentum but different density distribution or initial velocity, foam sandwich beams with the same configuration present different mechanical response processes, which demonstrates that the impact of cellular projectiles cannot be simply equivalent to impulse loading, and the coupling effect between the projectile and the sandwich beam cannot be ignored. Compared with uniform cellular projectiles, the impact pressure waveform of the graded cellular projectile is sharper and shows stronger nonlinearity during its attenuation. This study clarifies the loading effect of cellular projectiles on foam sandwich beams and lays a theoretical foundation for the optimal design of cellular projectiles simulating blast loads.
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