Acta Armamentarii ›› 2023, Vol. 44 ›› Issue (8): 2329-2341.doi: 10.12382/bgxb.2022.0417
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LI Dongyang, CHANG Sijiang*(), WANG Zhongyuan
Received:
2022-05-19
Online:
2023-08-30
Contact:
CHANG Sijiang
CLC Number:
LI Dongyang, CHANG Sijiang, WANG Zhongyuan. Nonlinear Region of Attraction Estimation for Projectile’s Angular Motion[J]. Acta Armamentarii, 2023, 44(8): 2329-2341.
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气动阻尼项符号 组合 | 原点稳定性 | 极限环δ=2 稳定性 |
---|---|---|
H0<0,H2>0 | 不稳定平衡点 | 稳定极限环 |
H0>0,H2<0 | 稳定平衡点 | 不稳定极限环 |
H0<0,H2<0 | 不稳定平衡点 | 不存在极限环 |
H0>0,H2>0 | 稳定平衡点 | 不存在极限环 |
Table 1 System stability analysis
气动阻尼项符号 组合 | 原点稳定性 | 极限环δ=2 稳定性 |
---|---|---|
H0<0,H2>0 | 不稳定平衡点 | 稳定极限环 |
H0>0,H2<0 | 稳定平衡点 | 不稳定极限环 |
H0<0,H2<0 | 不稳定平衡点 | 不存在极限环 |
H0>0,H2>0 | 稳定平衡点 | 不存在极限环 |
参数 | 数值 |
---|---|
弹径/mm | 120 |
弹质量/kg | 13.585 |
弹长/m | 0.7049 |
重心位置(距弹底)/m | 0.4229 |
轴向转动惯量/(kg·m2) | 0.02335 |
横向转动惯量/(kg·m2) | 0.23187 |
Table 2 Structure parameters of a 120mm mortar projectile[10]
参数 | 数值 |
---|---|
弹径/mm | 120 |
弹质量/kg | 13.585 |
弹长/m | 0.7049 |
重心位置(距弹底)/m | 0.4229 |
轴向转动惯量/(kg·m2) | 0.02335 |
横向转动惯量/(kg·m2) | 0.23187 |
时间/ s | 速度/ (m·s-1) | 马赫数 | 俯仰角/ (°) | 攻角/ (°) | 高度/ m |
---|---|---|---|---|---|
38.07 | 219.50 | 0.65 | -47.51 | 0.01 | 588.3 |
Table 3 Ballistic parameters at the beginning of the terminal trajectory
时间/ s | 速度/ (m·s-1) | 马赫数 | 俯仰角/ (°) | 攻角/ (°) | 高度/ m |
---|---|---|---|---|---|
38.07 | 219.50 | 0.65 | -47.51 | 0.01 | 588.3 |
H | M | T | Rz | Ry |
---|---|---|---|---|
1.11×10-3 | 8.53×10-5 | 1.29×10-4 | 1.63×10-8 | 0 |
Table 4 Parameters of angular motion function at the beginning of the terminal trajectory
H | M | T | Rz | Ry |
---|---|---|---|---|
1.11×10-3 | 8.53×10-5 | 1.29×10-4 | 1.63×10-8 | 0 |
吸引域水平集 | V2 | V4 |
---|---|---|
优化估计γ∩ | 0.3967 | 0.9002 |
γ∩式(47)计算值 | 0.3981 | |
优化估计γ∀ | 0.0676 | 0.8081 |
基于优化估计γ∩的γ∀计算值 | 0.0674 | |
γ∀式(47)计算值 | 0.0686 |
Table 5 Calculated radius of the region of attraction
吸引域水平集 | V2 | V4 |
---|---|---|
优化估计γ∩ | 0.3967 | 0.9002 |
γ∩式(47)计算值 | 0.3981 | |
优化估计γ∀ | 0.0676 | 0.8081 |
基于优化估计γ∩的γ∀计算值 | 0.0674 | |
γ∀式(47)计算值 | 0.0686 |
[1] |
|
[2] |
|
[3] |
doi: 10.2514/3.60459 URL |
[4] |
doi: 10.2514/3.56963 URL |
[5] |
doi: 10.2514/3.20480 URL |
[6] |
|
[7] |
doi: 10.2514/2.4847 URL |
[8] |
doi: 10.2514/3.30141 URL |
[9] |
|
[10] |
|
[11] |
|
[12] |
doi: 10.1016/j.paerosci.2013.06.002 URL |
[13] |
doi: 10.2514/1.A33868 |
[14] |
doi: 10.2514/1.A33764 URL |
[15] |
|
[16] |
韩子鹏, 常思江, 史金光. 弹箭非线性运动理论[M]. 北京: 北京理工大学出版社, 2016.
|
|
|
[17] |
李臣明, 刘怡昕. 转速闭锁对远程弹箭的影响[J]. 弹道学报, 2010, 22(1): 45-48.
|
|
|
[18] |
doi: 10.2514/1.G000804 URL |
[19] |
doi: 10.2514/1.A33864 URL |
[20] |
李东阳, 常思江, 王中原, 等. 正规形法在弹箭非线性运动分析中的应用[J]. 国防科技大学学报, 2022, 44(2): 44-54.
|
|
|
[21] |
doi: 10.2514/1.40052 URL |
[22] |
|
[23] |
钟扬威, 王良明, 傅健, 等. 弹箭非线性角运动稳定性Hopf分岔分析[J]. 兵工学报, 2015, 36(7): 1195-1202.
doi: 10.3969/j.issn.1000-1093.2015.07.007 |
|
|
[24] |
杨杰, 常思江, 魏伟. 带扰流片旋转稳定弹动态稳定性[J]. 兵工学报, 2021, 42(8): 1613-1623.
doi: 10.3969/j.issn.1000-1093.2021.08.005 |
doi: 10.3969/j.issn.1000-1093.2021.08.005 |
|
[25] |
|
[26] |
|
[27] |
doi: 10.1016/j.conengprac.2010.12.001 URL |
[28] |
doi: 10.1109/TAC.2018.2797196 URL |
[29] |
doi: 10.1007/s10107-003-0387-5 URL |
[30] |
|
[31] |
曹小兵. 脉冲末修迫弹弹道特性分析与控制方案设计[D]. 南京: 南京理工大学, 2012.
|
|
|
[32] |
doi: 10.1109/TAC.2009.2017157 URL |
[33] |
doi: 10.1016/j.isatra.2013.08.005 pmid: 24008183 |
[34] |
|
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