Interference Characteristics and Launch Sequence Optimization of Projectiles Launched Successively Underwater

doi:10.12382/bgxb.2022.0576

Abstract

Abstract:

With the increasing demand for saturation attacks, the research on the optimization of launch sequence of projectiles launched successively underwater has become important and urgent. Considering that the hydrodynamic interferences between two underwater projectiles are the main factor affecting launch safety, this paper studies the interference characteristics of projectiles launched successively underwater based on the overlapping mesh methods. By analyzing the flow field, it is found that the hairpin vortices formed by the projectile with an angle of attack are the main reason leading to the attitude difference between two projectiles. An interference evaluation model is established according to the interference between the projectiles under the conditions of different transport speeds, time intervals and space intervals. To ensure that the former projectile interferes little with subsequent projectiles, the launch sequence of projectiles fixed at a launch tube is optimized based on the improved greedy algorithm, in which the shortest launch duration is taken as the goal and the comprehensive evaluation function as the constraint. The uniform sampling method is used to verify the accuracy of the optimized results. The results show that the improved greedy algorithm has comparable accuracy and higher efficiency compared with the uniform sampling method.

Key words: underwater projectile, successive launch, evaluation on the attitude interference, launch sequence

CLC Number:

TV131.2

LIU Fang, XIAO Jinshi, WEI Jianming, ZHANG Zhiyang, WANG Cong. Interference Characteristics and Launch Sequence Optimization of Projectiles Launched Successively Underwater[J]. Acta Armamentarii, 2024, 45(1): 197-205.

Figures/Tables 22

References 23

[1]	ASHOK A, SMITS A J. The turbulent wake of a submarine model in pitch and yaw[C]// Proceedings of the 51st AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition. Reston, VA, US:AIAA, 2013:1-16.
[2]	ASHOK A, BUREN T V, SMITS A J. The structure of the wake generated by a submarine model in yaw[J]. Experiments in Fluids, 2015, 56:123. doi: 10.1007/s00348-015-1997-4 URL
[3]	杨志宏, 李志阔. 巡航导弹水下发射技术综述[J]. 飞航导弹, 2013(6):37-59.
	YANG H Z, LI Z K. Review on launching technology of underwater cruise missile[J]. Aerodynamic Missile Journal, 2013(6):37-59. (in Chinese)
[4]	MA G H, CHEN F, YU J Y, et al. Numerical investigation of trajectory and attitude robustness of an underwater vehicle considering the uncertainty of platform velocity and yaw angle[J]. Journal of Fluids Engineering, 2019, 141:021106. doi: 10.1115/1.4040930 URL
[5]	程载斌, 刘玉标, 刘兆, 等. 导弹水下潜射过程的流体固体耦合仿真[J]. 兵工学报, 2008, 29(2):178-183.
	CHENG Z B, LIU Y B, LIU Z, et al. FSI simulation of the vertical launching process of underwater missile[J]. Acta Armamentarii, 2008, 29(2):178-183. (in Chinese)
[6]	杜特专, 王一伟, 黄晨光, 等. 航行体水下发射流固耦合效应分析[J]. 力学学报, 2017, 49(4):783-791.
	DU T Z, WANG Y W, HUANG C G, et al. Study on coupling effects of underwater launched vehicle[J]. Chinese Journal of Theoretical and Applied Mechanics, 2017, 49(4):783-791. (in Chinese)
[7]	ASHOK A, BUREN T V, SMITS A J. Asymmetries in the wake of a submarine model in pitch[J]. Journal of Fluid Mechanics, 2015, 774:416-442. doi: 10.1017/jfm.2015.277 URL
[8]	JIANG F J, GALLARDO J P, ANDERSSON H I, et al. The transitional wake behind an inclined prolate spheroid[J]. Physics of Fluids, 2015, 27:093602. doi: 10.1063/1.4929764 URL
[9]	SHI Y, WANG G H, PAN G. Experimental study on cavity dynamics of projectile water entry with different physical parameters[J]. Physics of Fluids, 2019, 31:067103. doi: 10.1063/1.5096588 URL
[10]	魏英杰, 闵景新, 王聪, 等. 潜射导弹垂直发射过程空化特性研究[J]. 工程力学, 2009, 26(7):251-256.
	WEI Y J, MIN J X, WANG C, et al. esearch on cavitation of vertical launched submarine missiles[J]. Engineering Mechanics, 2009, 26(7):251-256. (in Chinese)
[11]	王一伟, 黄晨光, 吴小翠, 等. 航行体水下垂直发射空泡脱落条件研究[J]. 工程力学, 2015, 32(11):33-39.
	WANG Y W, HUANG C G, WU X C, et al. Investigation of cavities shedding condition on underwater vehicles in the vertical launch process[J]. Engineering Mechanics, 2015, 32(11):33-39. (in Chinese)
[12]	王一伟, 黄晨光, 杜特专, 等. 航行体垂直出水载荷与空泡溃灭机理分析[J]. 力学学报, 2012, 44(1):39-48. doi: 10.6052/0459-1879-2012-1-lxxb2011-139
	WANG Y W, HUANG C G, DU T Z, et al. Mechanism analysis about cavitation collapse load of underwater vehicles in a vertical launching process[J]. Chinese Journal of Theoretical and Applied Mechanics, 2012, 44(1):39-48. (in Chinese)
[13]	LI L C, YAN Z, PAN Z H. Vortex-induced rotations of two side-by-side square cylinders in a two-dimensional microchannel[J]. Physics of Fluids, 2021, 33:117104. doi: 10.1063/5.0067632 URL
[14]	ZHAO M, MAMOON A, WU H L. Numerical study of the flow past two wall-mounted finite-length square cylinders in tandem arrangement[J]. Physics of Fluids, 2021, 33:093603. doi: 10.1063/5.0058394 URL
[15]	KIM D, LEE S H. Aerodynamic interaction of collective plates in side-by-side arrangement[J]. Physics of Fluids, 2019, 31:071902. doi: 10.1063/1.5100777 URL
[16]	DEGRIECK A, UYTTERSPROT B, SUTULO S, et al. Hydrodynamic ship-ship and ship-bank interaction:a comparative numerical study[J]. Ocean Engineering, 2021, 230:108970. doi: 10.1016/j.oceaneng.2021.108970 URL
[17]	JIA C F, MA J, HE M R, et al. Motion primitives learning of ship-ship interaction patterns in encounter situations[J]. Ocean Engineering, 2022, 247:110708. doi: 10.1016/j.oceaneng.2022.110708 URL
[18]	ZHANG D, PAN G, SHI Y, et al. Investigation of the resistance characteristics of a multi-AUV system[J]. Applied Ocean Research, 2019, 89:59-70. doi: 10.1016/j.apor.2019.05.007
[19]	CHU C R, WU T R, TU Y F, et al. Interaction of two free-falling spheres in water[J]. Physics of Fluids, 2020, 32:033304. doi: 10.1063/1.5130467 URL
[20]	KUSHWAHA V K, DE A K. Aerodynamics of multiple freely falling plates[J]. Physics of Fluids, 2020, 32:103603. doi: 10.1063/5.0021794 URL
[21]	ZOU L, SUN J Z, SUN Z, et al. Study of two free-falling spheres interaction by coupled SPH-DEM method[J]. European Journal of Mechanics B-Fluids, 2022, 92:49-64. doi: 10.1016/j.euromechflu.2021.09.006 URL
[22]	LU J X, WANG C, SONG W C, et al. Experimental investigation on interference characteristics of projectiles launched successively underwater[J]. Ocean Engineering, 2022, 250:110824. doi: 10.1016/j.oceaneng.2022.110824 URL
[23]	LU J X, BI D F, WANG C, et al. Research on the interference characteristics of successively launched underwater projectiles[J]. Physics of Fluids, 2022, 34:067117. doi: 10.1063/5.0095741 URL

参数	数值
直径D/m	0.20
全长L/m	2.4
质量M/kg	75
质心位置x_c/m	1.32
绕y轴、z轴转动惯量(J_yy,J_zz)/(kg·m²)	32.2
绕弹轴转动惯量J_xx/(kg·m²)	0.55

参数	数值
直径D/m	0.20
全长L/m	2.4
质量M/kg	75
质心位置x_c/m	1.32
绕y轴、z轴转动惯量(J_yy,J_zz)/(kg·m²)	32.2
绕弹轴转动惯量J_xx/(kg·m²)	0.55

工况	研究内容	发射次序	v/ (m·s^-1)	Δt/s	Δd/m
1、2	发射艇速	顺序	1.4,0.51	0.5	0.3
3~5	时间间隔	顺序	1.4	0.3,0.7,0.9	0.3
6~9	发射间距	顺序	1.4	0.5	0.4,0.5, 0.6,0.7
10~13	时间间隔	逆序	1.4	0.3,0.5, 0.7,0.9	0.3
14~17	发射间距	逆序	1.4	0.5	0.4,0.5, 0.6,0.7

工况	研究内容	发射次序	v/ (m·s^-1)	Δt/s	Δd/m
1、2	发射艇速	顺序	1.4,0.51	0.5	0.3
3~5	时间间隔	顺序	1.4	0.3,0.7,0.9	0.3
6~9	发射间距	顺序	1.4	0.5	0.4,0.5, 0.6,0.7
10~13	时间间隔	逆序	1.4	0.3,0.5, 0.7,0.9	0.3
14~17	发射间距	逆序	1.4	0.5	0.4,0.5, 0.6,0.7

工况	发射次序	v/ (m·s^-1)	Δt/s	Δd/m	δ/m	S/%
1	顺序	1.4	0.3	-0.3	0.120	42.373
2	顺序	0.51	0.3	-0.3	0.147	39.328
3	顺序	1.4	0.5	-0.3	0.400	31.373
4	顺序	1.4	0.7	-0.3	0.680	20.588
5	顺序	1.4	0.9	-0.3	0.960	3.922
6	顺序	1.4	0.5	-0.4	0.300	39.548
7	顺序	1.4	0.5	-0.5	0.200	41.808
8	顺序	1.4	0.5	-0.6	0.100	42.204
9	顺序	1.4	0.5	-0.7	0.000	38.685
10	逆序	1.4	0.3	0.3	0.720	8.670
11	逆序	1.4	0.5	0.3	1.000	3.371
12	逆序	1.4	0.7	0.3	1.280	2.809
13	逆序	1.4	0.9	0.3	1.560	3.618
14	逆序	1.4	0.5	0.4	1.100	8.983
15	逆序	1.4	0.5	0.5	1.200	4.046
16	逆序	1.4	0.5	0.6	1.300	1.733
17	逆序	1.4	0.5	0.7	1.400	2.528