Page 117 - 《爆炸与冲击》2026年第5期

第 46 卷 梁俊宣，等： 基于CNN的弹体侵彻多层间隔混凝土薄靶弹道特性预测模型 第 5 期

一层靶前、贯穿第 1 层靶后及贯穿第 2 层靶后的速度；β 、β 、β 则对应各阶段的姿态角。结果显示两者
2
1
0
吻合较好。上述对比分析表明，本文建立的模型可靠，能够快速精确预测弹体在侵彻过程中的姿态变
化、运动轨迹及速度衰减。

表 6 模型计算与试验结果对比
Table 6 Comparison of model calculations and experimental results
−1
剩余速度v r /(m·s ) 靶后弹体姿态角β/(°)
工况 靶体编号
试验结果 [1] 模型预测结果 相对误差/% 试验结果 [1] 模型预测结果 绝对误差/°
1-1 700 697 −0.43 −5.11 −6.91 −1.80
a
1-2 602 579 −3.82 −12.75 −9.28 3.47
2-1 624 628 0.64 −1.73 −3.38 −1.65
b
2-2 531 559 5.27 −4.65 −3.31 1.34
3-1 409 426 4.16 −11.81 −9.64 2.17
c
3-2 310 335 8.06 −10.99 −11.70 −0.71
4-1 428 426 −0.47 −3.36 −5.94 −2.58
d
4-2 263 291 10.65 −5.37 −7.05 −1.68
5-1 576 603 4.69 −4.69 −7.15 −2.46
e
5-2 472 504 6.78 −9.46 −7.18 2.28

y
1-1 1-2 1-1 1-1
v=791 m/s vz=697 m/s v=697 m/s vz=573 m/s
ω=0°/ms vy=14.9 m/s ω=−1.77°/ms vy=−83.6 m/s
α=−1.33° β=−5.64° α=−5.69° β=−14.36°
φ=−1.6° ω=−1.77°/ms φ=−6.91° ω=4.48°/ms
hy=8.71 mm hy=10.94 mm
α 0 =−1.60° α 1 =−5.11° cg cg
cg
v 0 =791 m/s v 1 =697 m/s cg
v 0 =791 m/s v 1 =700 m/s β 0 =−1.60° β 1 =−6.91° v 2 =579 m/s
cg
β 0 =−1.60° β 1 =−5.11° β 2 =−9.28°
φ 0 =−1.33° φ 1 =−3.08° v 2 =602 m/s
θ 1 =0° L=500 mm θ 2 =0° β 2 =−12.75° y θ 1 =0° θ 2 =0°
φ 2 =−4.65°
L=500 mm
O z x
(a) Condition a
y
2-1 2-2
2-1 2-2
v=705 m/s vz=628 m/s v=628 m/s vz=556 m/s
ω=0°/ms vy=−7.58 m/s ω=−0.58°/ms vy=−59.6 m/s
α=−0.7° β=−2.8° α=2.69° β=−8.6°
φ=14.41° ω=−0.77°/ms φ=11.02° ω=4.52°/ms
hy=3.84 mm hy=3.45 mm
α 0 =14.41° α 1 =12.67° cg
cg
v 0 =705 m/s v 1 =628 m/s cg
cg
v 0 =705 m/s v 1 =624 m/s v 2 =531 m/s β 0 =−0.99° β 1 =−3.38° cg
β 0 =−0.90° β 1 =−1.73° β 2 =−4.65° v 2 =559 m/s
φ 0 =−0.70° φ 1 =−1.44° φ 2 =−3.35° β 2 =−3.31°
θ 1 =15.4° L=470 mm θ 2 =14.4° y θ 1 =15.4° θ 2 =14.4°
L=470 mm
O z x
(b) Condition b
y
3-1 3-2
3-1 3-2 v=515 m/s vz=425 m/s v=426 m/s vz=334 m/s
vy=−34.3 m/s
ω=1.45°/ms
vy=−18.3 m/s
ω=0°/ms
α=−4.42° β=−11.24° α=6.23° β=−9.46°
φ=11.05° ω=−1.45°/ms φ=4.87° ω=−1.15°/ms
hy=0.68 mm
α 0 =11.05° hy=−16.11 mm
α 1 =3.89° v 0 =515 m/s cg cg
cg
v 0 =515 m/s v 1 =409 m/s β 0 =−4.45° v 1 =628 m/s cg
β 0 =−4.45° β 1 =−3.38° cg
φ 0 =−4.22° β 1 =−11.81° v 2 =310 m/s v 2 =335 m/s
φ 1 =−1.19° β 2 =−11.7°
θ 1 =15.5° L=470 mm θ 2 =15.7° β 2 =−10.99° y θ 1 =15.5° θ 2 =15.7°
φ 2 =−1.19°
L=470 mm
O z x
(c) Condition c
4-1 4-2
4-1 4-2 051432-12 =515 m/s =420 m/s =420 m/s =287 m/s
ω=0°/ms =−4.48 m/s ω=−3.28°/ms =−45.3 m/s
α=−1.03° β=−1.64° α=5.33° β=−19.5°
φ=28.54° ω=−3.28°/ms φ=24.76° ω=5.96°/ms
=5.56 mm =6.41 mm
α =28.54° α =27.34° =515 m/s =426 m/s
β =−1.56°
=515 m/s =428 m/s β =−5.94°
β =−1.56° β =−3.36° =263 m/s
φ =−1.03° φ =−2.35° β =−5.37° β =−7.05°
θ =30.1° =550 mm θ =30.7° φ =−1.02° θ =30.1° θ =30.7°
=550 mm
5-1 5-2
5-1 5-2
=694 m/s =603 m/s =603 m/s =495 m/s
ω=0°/ms =−12.4 m/s ω=−5.23°/ms =−93 m/s
α =28.28° α =25.91° α=−1.52° β=−1.86° α=5.97° ω=7.31°/ms
β=−16.04°
φ=28.28°
φ=23.45°
ω=−5.23°/ms
=2.01 mm =2.57 mm
=694 m/s =576 m/s =694 m/s =603 m/s
β =−1.52° β =−4.69° =472 m/s β =−1.52° β =−7.15°
φ =−1.52° φ =−2.11° β =−9.46° =504 m/s
φ =−1.83° β =−7.18°
θ =29.8° =606 mm θ =30.6° θ =29.8° θ =30.6°
=606 mm