(说是有控弹箭其实是无控的屑)
Matlab版本:R2022a,安装时要安装simulink
计算条件如下:
m=225kg,d=0.299m,L=2.14m,V_0=750km/h,
θ_0=0,y_0=4000m,C_x=C_x0+(C_X^α2)(α2),C_y=(C_y^α)(α)+C_y^δz)(δz)
气动力和力矩系数如下:
Ma | 0.6 | 0.8 | 0.9 | 1.0 | 1.1 | 1.5 | 2.0 | 2.5 |
---|---|---|---|---|---|---|---|---|
C_X0 | 0.14942 | 0.15754 | 0.17140 | 0.28832 | 0.34312 | 0.3440 | 0.343 | 0.341 |
C_X^α2 | 0.00186 | 0.00190 | 0.00192 | 0.00200 | 0.00209 | 0.0022 | 0.0021 | 0.0020 |
C_Y^α | 0.06977 | 0.06948 | 0.06933 | 0.07114 | 0.07427 | 0.07428 | 0.0743 | 0.0742 |
m_z^α | -0.0461 | -0.0455 | -0.0457 | -0.0550 | -0.0521 | -0.0518 | -0.0507 | -0.0499 |
m_z^δz | 0.0397 | 0.0389 | 0.0381 | 0.0440 | 0.0445 | 0.0450 | 0.0452 | 0.0454 |
C_y^δz | 0.03311 | 0.03244 | 0.03177 | 0.03669 | 0.03711 | 0.0375 | 0.0377 | 0.0378 |
- 编写弹道程序,计算制导航弹的方案弹道。
- 绘制y-x, V-t, α-t, δz-t, θ-t曲线。
- 编写弹道程序,计算制导航弹的实际弹道。
- 绘制y-x, V-t, α-t, δz-t, θ-t曲线。
附件:
V0 θ_0 y_0 飞行方案 控制规律 K
750 0 4000 $$\mspace{6mu}\alpha^{}(t) = \left{ \begin{aligned} $${\varepsilon_{1} = \Delta\alpha = \alpha(t) - \alpha^{}(t) 1.2
& 0,\mspace{6mu}\mspace{6mu}\mspace{6mu}\mspace{6mu} 0 < t < 3s \ }{\Delta\delta_{z} = K\Delta\alpha
& 5^{o},\mspace{6mu}\mspace{6mu}\mspace{6mu}\mspace{6mu} t > 3s \ }{\delta_{z} = {\delta_{z}}{B} + \Delta\delta{z}}$$
\end{aligned} \right.\ $$
700 2 5000 0.6
650 4 6000 1.0
680 -2 6000 $$\mspace{6mu}\alpha^{*}(t) = \left{ \begin{aligned} 0.8
& 2,\mspace{6mu}\mspace{6mu}\mspace{6mu}\mspace{6mu} 0 < t < 3s \
& 5^{o},\mspace{6mu}\mspace{6mu}\mspace{6mu}\mspace{6mu} t > 3s \
\end{aligned} \right.\ $$
700 -2 5000 1.0
720 2 5500 1.2
600 5 5500 $$\mspace{6mu}\alpha^{*}(t) = \left{ \begin{aligned} 1.5
& 0,\mspace{6mu}\mspace{6mu}\mspace{6mu}\mspace{6mu} 0 < t < 5s \
& 3^{o},\mspace{6mu}\mspace{6mu}\mspace{6mu}\mspace{6mu} t > 5s \
\end{aligned} \right.\ $$
700 2 5000 1.0
650 0 6000 0.7
750 0 4100 $$H^{}(t) = \left{ \begin{aligned} $${\varepsilon_{1} = \Delta H = H(t) - H^{}(t) 1.2
& 4 \times (t - 5)^{2} + 4000,\mspace{6mu}\mspace{6mu}\mspace{6mu}\mspace{6mu} 0 < t < 5s \ }{\Delta\delta_{z} = K\Delta H
& \text{4000},\mspace{6mu}\mspace{6mu}\mspace{6mu}\mspace{6mu} t > 5s \ }{\delta_{z} = {\delta_{z}}{B} + \Delta\delta{z}}$$
\end{aligned} \right.\ $$
700 2 4100 1.0
680 -2 4100 0.8
730 3 4100 0.7
700 0 5000 $$H^{*}(t) = \left{ \begin{aligned} 1.3
& \text{5000},\mspace{6mu}\mspace{6mu}\mspace{6mu}\mspace{6mu} 0 < t < 5s \
& \text{1000}\text{e}^{- (t - 5)} + 4000,\mspace{6mu}\mspace{6mu}\mspace{6mu}\mspace{6mu} 5 < t < \text{10}s \
& \text{4000},\mspace{6mu}\mspace{6mu}\mspace{6mu}\mspace{6mu} t > \text{10}s \
\end{aligned} \right.\ $$
730 -1 5000 1.0
650 2 5000 0.8
600 3 5000 1.1
750 0 6250 $$H^{*}(t) = \left{ \begin{aligned} 1.0
& 10 \times (t - 5)^{2} + 6000,\mspace{6mu}\mspace{6mu}\mspace{6mu}\mspace{6mu} 0 < t < 5s \
& \text{6000},\mspace{6mu}\mspace{6mu}\mspace{6mu}\mspace{6mu} t > 5s \
\end{aligned} \right.\ $$