多胞子弹冲击泡沫夹芯梁的动力学响应分析  

Dynamic response analysis of cellular projectile impacting foam sandwich beam

作　　者：张元瑞 朱玉东 王克鸿[2] 周琦[2] 虞吉林[1] 郑志军[1,3] ZHANG Yuanrui;ZHU Yudong;WANG Kehong;ZHOU Qi;YU Jilin;ZHENG Zhijun(CAS Key Laboratory of Mechanical Behavior and Design of Materials,Department of Modern Mechanics,University of Science and Technology of China,Hefei 230027,Anhui,China;School of Materials Science and Engineering,Nanjing University of Science and Technology,Nanjing 210094,Jiangsu,China;State Key Laboratory of Nonlinear Mechanics,Institute of Mechanics,Chinese Academy of Science,Beijing 100190,China)

机构地区：[1]中国科学技术大学近代力学系中国科学院材料力学行为和设计重点实验室,安徽合肥230027 [2]南京理工大学材料科学与工程学院,江苏南京210094 [3]中国科学院力学研究所非线性力学国家重点实验室,北京100190

出　　处：《爆炸与冲击》2024年第9期112-127,共16页Explosion and Shock Waves

基　　金：国家自然科学基金(11872360)。

摘　　要：为了研究均匀/梯度多胞子弹冲击泡沫夹芯梁的耦合响应过程和多胞子弹对夹芯梁的加载效果,对该冲击过程开展了理论分析、数值模拟和试验研究: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,给出了冲击过程中各响应阶段的控制方程,并结合龙格-库塔方法对方程进行了数值求解;基于三维Voronoi技术,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;在多胞子弹的冲击测试平台上进行了试验研究,结合高速摄影技术获取了多胞子弹和泡沫夹芯梁的速度响应。结果表明:耦合分析模型可以准确地预测多胞子弹和泡沫夹芯梁的速度历程曲线以及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特征。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.To explore the coupling response process between the uniform/graded cellular projectile and the foam sandwich beam and the loading effect of cellular projectiles,theoretical analysis,numerical simulations,and impact tests were carried out.The foam sandwich beam was 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 was developed,and its governing equations were presented and solved numerically by the Runge-Kutta method.Meso-finite element simulations of a uniform/graded cellular projectile impacting a foam sandwich beam were carried out based on the 3D Voronoi technique.Impact tests were performed on the test platform of cellular projectiles,and the velocity response of the cellular projectiles and the foam sandwich beams was obtained by using a high-speed camera and a digital image processing technique.It is found that the coupling analysis model can accurately predict the velocity history curves of the cellular projectile and the foam sandwich beam,as well as the impact pressure of the cellular projectile.Subjected to 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 cellul

关 键 词：多胞子弹 泡沫夹芯梁 耦合分析模型 有限元模拟 冲击测试 

分 类 号：O389[理学—流体力学]