Acta Armamentarii ›› 2024, Vol. 45 ›› Issue (11): 3983-3997.doi: 10.12382/bgxb.2024.0180
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CAI Yunlong, YANG Lina*(), QUAN Liang, YANG Baosheng, REN Ruoyu
Received:
2024-03-12
Online:
2024-11-26
Contact:
YANG Lina
CLC Number:
CAI Yunlong, YANG Lina, QUAN Liang, YANG Baosheng, REN Ruoyu. Design and Optimization of Locust-hindfoot-inspired Embedded Missile Ejection Device[J]. Acta Armamentarii, 2024, 45(11): 3983-3997.
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点 | 坐标/m | 点 | 坐标/m |
---|---|---|---|
A | (0.000, 0.000) | E | (0.512, -0.050) |
B | (-0.250, -0.050) | F | (0.762, -0.100) |
C | (0.000, -0.100) | G | (0.262, 0.000) |
D | (0.762, 0.000) |
Table 1 The initial coordinates of design points
点 | 坐标/m | 点 | 坐标/m |
---|---|---|---|
A | (0.000, 0.000) | E | (0.512, -0.050) |
B | (-0.250, -0.050) | F | (0.762, -0.100) |
C | (0.000, -0.100) | G | (0.262, 0.000) |
D | (0.762, 0.000) |
参数 | 数值 |
---|---|
导弹质量/kg | 160 |
x轴方向转动惯量/(kg·m2) | 2.55 |
y轴方向转动惯量/(kg·m2) | 250 |
z轴方向转动惯量/(kg·m2) | 250 |
导弹质心与C点距离的x轴方向分量/m | 0.50 |
导弹质心与C点距离的y轴方向分量/m | 0.15 |
Table 2 Missile parameters
参数 | 数值 |
---|---|
导弹质量/kg | 160 |
x轴方向转动惯量/(kg·m2) | 2.55 |
y轴方向转动惯量/(kg·m2) | 250 |
z轴方向转动惯量/(kg·m2) | 250 |
导弹质心与C点距离的x轴方向分量/m | 0.50 |
导弹质心与C点距离的y轴方向分量/m | 0.15 |
设计变量 | 范围/m | |
---|---|---|
A点纵坐标yA | [-0.020,0.000] | |
B点横坐标xB | [-0.300,-0.200] | |
B点纵坐标yB | [-0.060,-0.040] | |
D点纵坐标yD | [-0.030,0.000] | |
E点横坐标xE | [0.400,0.562] | |
扭簧1刚度系数k1 | [0.100,50.000] | |
扭簧2刚度系数k2 | [0.100,50.000] | |
弹射力系数β | [0.200,1.000] |
Table 3 Definition of design variables
设计变量 | 范围/m | |
---|---|---|
A点纵坐标yA | [-0.020,0.000] | |
B点横坐标xB | [-0.300,-0.200] | |
B点纵坐标yB | [-0.060,-0.040] | |
D点纵坐标yD | [-0.030,0.000] | |
E点横坐标xE | [0.400,0.562] | |
扭簧1刚度系数k1 | [0.100,50.000] | |
扭簧2刚度系数k2 | [0.100,50.000] | |
弹射力系数β | [0.200,1.000] |
设计变量 | 范围/m | 初始值 (左侧)/m | 优化值 (左侧)/m | 初始值 (右侧)/m | 优化值 (右侧)/m |
---|---|---|---|---|---|
A点纵坐标yA/m | [-0.02,0.00] | 0.00 | -0.0132 | 0.00 | 0.0000 |
B点横坐标xB/m | [-0.30,-0.20] | -0.25 | -0.2576 | -0.25 | -0.2674 |
B点纵坐标yB/m | [-0.06,-0.04] | -0.05 | -0.0582 | -0.05 | -0.0508 |
D点纵坐标yD/m | [-0.03,0.00] | 0.00 | 0.0000 | 0.00 | -0.0118 |
E点横坐标xE/m | [0.40,0.562] | 0.512 | 0.5120 | 0.512 | 0.4843 |
扭簧1刚度系数k1/(N·m·rad-1) | [0.10,50.00] | 0.10 | 50.0000 | 0.10 | 42.6693 |
扭簧2刚度系数k2/(N·m·rad-1) | [0.10,50.00] | 0.10 | 47.6087 | 0.10 | 34.2355 |
弹射力系数β | [0.20,1.00] | 1.00 | 0.6271 | 1.00 | 0.6731 |
Table 4 Comparison of design variables
设计变量 | 范围/m | 初始值 (左侧)/m | 优化值 (左侧)/m | 初始值 (右侧)/m | 优化值 (右侧)/m |
---|---|---|---|---|---|
A点纵坐标yA/m | [-0.02,0.00] | 0.00 | -0.0132 | 0.00 | 0.0000 |
B点横坐标xB/m | [-0.30,-0.20] | -0.25 | -0.2576 | -0.25 | -0.2674 |
B点纵坐标yB/m | [-0.06,-0.04] | -0.05 | -0.0582 | -0.05 | -0.0508 |
D点纵坐标yD/m | [-0.03,0.00] | 0.00 | 0.0000 | 0.00 | -0.0118 |
E点横坐标xE/m | [0.40,0.562] | 0.512 | 0.5120 | 0.512 | 0.4843 |
扭簧1刚度系数k1/(N·m·rad-1) | [0.10,50.00] | 0.10 | 50.0000 | 0.10 | 42.6693 |
扭簧2刚度系数k2/(N·m·rad-1) | [0.10,50.00] | 0.10 | 47.6087 | 0.10 | 34.2355 |
弹射力系数β | [0.20,1.00] | 1.00 | 0.6271 | 1.00 | 0.6731 |
目标和约束 | 项目 | 范围 | 初始值 | 优化值 |
---|---|---|---|---|
目标 | 最小弹射力FT /N | η·1·p0·S·(1/(1+1.962x))1.4 | η·0.6271·p0·S·(1/(1+1.962x))1.4 | |
分离速度vy /(m·s-1) | ≤-7.9 | -8.0290 | ||
约束 | 俯仰角速度ωz/((°)·s-1) | [15,40] | 34.8096 | |
俯仰角度θz/(°) | ≥1.5 | 1.5984 |
Table 5 Design objectives and constraints of missile head on the left side
目标和约束 | 项目 | 范围 | 初始值 | 优化值 |
---|---|---|---|---|
目标 | 最小弹射力FT /N | η·1·p0·S·(1/(1+1.962x))1.4 | η·0.6271·p0·S·(1/(1+1.962x))1.4 | |
分离速度vy /(m·s-1) | ≤-7.9 | -8.0290 | ||
约束 | 俯仰角速度ωz/((°)·s-1) | [15,40] | 34.8096 | |
俯仰角度θz/(°) | ≥1.5 | 1.5984 |
目标和约束 | 项目 | 范围 | 初始值 | 优化值 |
---|---|---|---|---|
目标 | 最小弹射力FT/N | η·1·p0·S·(1/(1+1.962x))1.4 | η·0.6271·p0·S·(1/(1+1.962x))1.4 | |
分离速度vy/(m·s-1) | -8.0277 | |||
约束 | 俯仰角速度为ωz/((°)·s-1) | [-40,-15] | -33.5807 | |
俯仰角度θz/(°) | ≤-1.5 | -1.6082 |
Table 6 Design objectives and constraints of missile head on the right side
目标和约束 | 项目 | 范围 | 初始值 | 优化值 |
---|---|---|---|---|
目标 | 最小弹射力FT/N | η·1·p0·S·(1/(1+1.962x))1.4 | η·0.6271·p0·S·(1/(1+1.962x))1.4 | |
分离速度vy/(m·s-1) | -8.0277 | |||
约束 | 俯仰角速度为ωz/((°)·s-1) | [-40,-15] | -33.5807 | |
俯仰角度θz/(°) | ≤-1.5 | -1.6082 |
参数 | 数值 |
---|---|
A点横坐标xA/m | 0.000 |
A点纵坐标yA/m | -0.013 |
B点横坐标xB/m | -0.258 |
B点纵坐标yB/m | -0.058 |
C点横坐标xC/m | 0.000 |
C点纵坐标yC/m | -0.100 |
D点横坐标xD/m | 0.762 |
D点纵坐标yD/m | 0.000 |
E点横坐标xE/m | 0.512 |
E点纵坐标xE/m | -0.058 |
F点横坐标xF/m | 0.762 |
F点纵坐标xF/m | -0.100 |
G点横坐标xG/m | 0.262 |
G点纵坐标xG/m | 0.000 |
扭簧1刚度系数k1/(N·m·rad-1) | 40.000 |
扭簧2刚度系数k2/(N·m·rad-1) | 40.000 |
弹射力系数β | 0.6271 |
Table 7 Joint position and torsion spring stiffness parameters of ejection mechanism
参数 | 数值 |
---|---|
A点横坐标xA/m | 0.000 |
A点纵坐标yA/m | -0.013 |
B点横坐标xB/m | -0.258 |
B点纵坐标yB/m | -0.058 |
C点横坐标xC/m | 0.000 |
C点纵坐标yC/m | -0.100 |
D点横坐标xD/m | 0.762 |
D点纵坐标yD/m | 0.000 |
E点横坐标xE/m | 0.512 |
E点纵坐标xE/m | -0.058 |
F点横坐标xF/m | 0.762 |
F点纵坐标xF/m | -0.100 |
G点横坐标xG/m | 0.262 |
G点纵坐标xG/m | 0.000 |
扭簧1刚度系数k1/(N·m·rad-1) | 40.000 |
扭簧2刚度系数k2/(N·m·rad-1) | 40.000 |
弹射力系数β | 0.6271 |
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