Optimization Model and Visualization Simulation of Projectile Penetration into Concrete
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摘要: 利用可视化仿真技术研究弹体侵彻混凝土的毁伤机理和靶板响应是爆炸冲击领域的重要课题。混凝土作为常见的建筑材料,在遭受爆炸冲击或高速弹体侵彻时,其毁伤行为复杂多变。介绍了一种理论研究与可视化技术相结合的可视化仿真方法。基于空腔膨胀理论建立了优化的侵彻计算模型,可以预测弹体侵彻混凝土的侵彻深度特征。利用可视化物理引擎,对弹体运动轨迹、开坑孔径、靶板损伤、碎石飞溅等进行了细致的表征处理和仿真,增强了场景的真实性和可靠性。开发的可视化仿真系统不仅能够从多角度观察弹体侵彻混凝土的过程,而且能够高效、准确地分析和预测弹体侵彻混凝土靶的损伤行为和动力响应,在建筑工程设计和安全评估中具有重要的应用前景,为理解和探索混凝土侵彻机理提供了新的视角。Abstract: Using visual simulation technology to investigate the damage mechanism and target response of projectile penetration into concrete is an important research topic in the field of explosive impact. Concrete, as a common building material, has complex and varied damage behavior when subjected to explosive impact or high-speed projectile penetration. Herein, a visual simulation method is introduced, which is based on the combination of theoretical research and visualization technology. An optimized model of penetration calculation is established based on the theory of cavity expansion, which can predict the characteristics of the penetration depth of concrete penetrated by the projectile. Using a visualization physics engine, the trajectory of the projectile, the aperture of the open pit, the damage of the target slab, and the debris splash are carefully characterized and simulated, which enhances to the realism and reliability of the scene. The developed visual simulation system can not only observe the process of projectile penetration into concrete from multiple perspectives, but also efficiently and accurately analyze and predict the damage behavior and dynamic response of projectile penetration into concrete targets. It has important application prospects in the design and safety assessment of construction projects, providing a novel perspectives for understanding and exploring the mechanism of concrete penetration.
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Key words:
- projectile penetration /
- concrete /
- visual simulation /
- physics engine
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表 1 30.5 mm口径弹体侵彻51.0 MPa靶板(ρ=
2300 kg/m3)深度实验数据Table 1. Experimental data on the depth of penetration of a 30.5 mm projectile into a 51.0 MPa target slab (ρ=
2300 kg/m3)m/kg v/(m·s−1) Hexp/m HLMC/m $\delta_{\rm{LMC}} $/% HMCT/m $\delta_{\rm{MCT}} $/% HLNC/m $\delta_{\rm{LNC}} $/% 1.60 405 0.37 0.28 25.02 0.28 23.87 0.23 37.79 446 0.42 0.33 20.53 0.34 19.19 0.28 33.66 545 0.56 0.49 12.69 0.50 10.90 0.41 26.04 651 0.78 0.69 12.14 0.70 9.99 0.59 24.42 804 1.05 1.04 1.10 1.07 1.94 0.91 12.93 821 1.23 1.08 11.96 1.12 9.18 0.96 22.28 900 1.41 1.30 7.53 1.35 4.30 1.17 17.37 1 009 1.75 1.65 5.91 1.71 2.15 1.50 14.50 1 069 1.96 1.85 5.39 1.93 1.36 1.70 13.24 1 201 2.03 2.36 16.20 2.47 21.87 2.21 8.70 m/kg v/(m·s−1) Hexp/m HHMC/m $\delta_{\rm{HMC}} $/% HHMCT/m $\delta_{\rm{HMCT}} $/% HHNC/m $\delta_{\rm{HNC}} $/% 1.60 405 0.37 0.29 21.88 0.32 13.51 0.24 34.55 446 0.42 0.35 16.85 0.39 8.14 0.29 30.19 545 0.56 0.52 7.79 0.57 1.40 0.44 22.17 651 0.78 0.73 6.41 0.80 2.51 0.62 20.47 804 1.05 1.12 6.48 1.22 16.13 0.96 8.40 821 1.23 1.17 5.11 1.27 3.45 1.01 18.25 900 1.41 1.41 0.10 1.54 8.99 1.23 13.11 1 009 1.75 1.79 2.37 1.95 11.34 1.57 10.14 1 069 1.96 2.02 3.15 2.20 12.18 1.79 8.85 1 201 2.03 2.58 27.13 2.81 38.34 2.32 14.10 表 2 实验验证数据
Table 2. Experimental validation data
Case Projectile Target slab v/(m·s−1) H/m m/kg d/mm $\delta_{\rm{CRH}} $ fc/MPa ρ/(kg·m−3) 1 1.600 30.5 3 51.0 2300 545 0.560 2 1.600 30.5 3 51.0 2300 1 201 2.030 3 0.478 20.3 3 58.4 2320 610 0.491 4 0.478 20.3 3 58.4 2320 1 009 1.300 5 1.620 30.5 3 58.4 2320 445 0.460 6 1.620 30.5 3 58.4 2320 980 1.950 7 0.480 20.3 3 62.8 2300 821 0.760 表 3 系统测试数据对比
Table 3. Comparison of system test data
Case H/m Error/% Experiment Systematic prediction 1 0.560 0.642 14.6 2 2.030 2.434 19.9 3 0.491 0.500 1.8 4 1.300 1.185 8.8 5 0.460 0.428 6.9 6 1.950 1.697 12.9 7 0.760 0.819 7.7 -
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