Initial Kinematic Parameters Design of Trans-media Vehicle Skipping over Water Surface Based on Multi-objective Optimization

doi:10.12382/bgxb.2022.0704

Abstract

Abstract:

The influence of the initial kinematic parameters on the skipping process of a trans-media vehicle over water surface is numerically studied based on coupled Eulerian-Lagrangian method. The relationships among three parameters, including the maximum immersion depth, the maximum overload and the pitching angle variation, and the initial motion parameters, including the initial velocity and incident angle of trans-media vehicle and the inclination angle of skipping plate, are analyzed by means of the parameter regression method. The parameter envelope of stable skipping process of the trans-media vehicle is obtained at the incident angles ranging from 2 ° to 5 °, the inclination angles of skipping plate ranging from 10 ° to 25 °, and the initial velocities ranging from 60 to 80m/s. Based on the multi-objective optimization algorithm, the most suitable target parameters for the stable skipping process of the vehicle are obtained as follows: the initial velocity of 60.1m/s, the skipping plate’s inclination angle of 18.8 °, and the incident angle of 2 °. Within this parameter range, the relative minimum values of immersion depth and pitching angle variation can be obtained during the skipping process of the trans-media vehicle without exceeding the overload requirements.

Key words: trans-medium, skipping motion, multi-objective optimization, coupled Euler-Lagrangian method

CLC Number:

O368

SUN Shiming, YU Wei, WANG Xiaohui, LI Zhenwang, LIU Cailian. Initial Kinematic Parameters Design of Trans-media Vehicle Skipping over Water Surface Based on Multi-objective Optimization[J]. Acta Armamentarii, 2024, 45(2): 541-551.

Figures/Tables 16

References 23

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编号	v/(m·s^-1)	β/(°)	α/(°)	d_max/m	N_max/g	Δθ/(°)	编号	v/(m·s^-1)	β/(°)	α/(°)	d_max/m	N_max/g	Δθ/(°)
1	70	5	2	0.036	13.9	-5.6	31	80	15	6	0.124	46.8	-18.5
2	70	5	4	0.098	17.7	-10.6	32	80	15	8	0.175	55.1	-20.6
3	70	5	6	0.185	23.0	-13.5	33	80	20	2	0.046	25.4	0.8
4	70	5	8	0.340	28.1	-13.2	34	80	20	4	0.076	42.4	-4.3
5	70	10	2	0.046	14.8	-4.5	35	80	20	6	0.112	52.9	-7.7
6	70	10	4	0.086	22.0	-12.3	36	80	20	8	0.157	63.6	-19.8
7	70	10	6	0.141	28.4	-15.7	37	80	25	2	0.047	23.8	1.3
8	70	10	8	0.238	33.6	-19.9	38	80	25	4	0.080	25.1	-2.5
9	70	15	2	0.045	19.6	-0.5	39	80	25	6	0.114	40.9	-7.8
10	70	15	4	0.081	27.2	-9.2	40	80	25	8	0.149	55.5	-15.1
11	70	15	6	0.124	36.7	-15.6	41	90	5	2	0.035	23.8	-7.8
12	70	15	8	0.179	45.8	-18.6	42	90	5	4	0.097	29.8	-11.2
13	70	20	2	0.046	19.5	0.7	43	90	5	6	0.248	36.6	-10.2
14	70	20	4	0.077	32.1	-4.2	44	90	5	8	0.310	40.2	-24.1
15	70	20	6	0.112	40.4	-5.9	45	90	10	2	0.045	23.5	-6.1
16	70	20	8	0.154	48.9	-19.8	46	90	10	4	0.087	35.6	-14.9
17	70	25	2	0.048	21.9	1.1	47	90	10	6	0.160	43.5	-19.9
18	70	25	4	0.081	30.9	-0.9	48	90	10	8	0.248	61.8	-21.7
19	70	25	6	0.115	42.2	-6.8	49	90	15	2	0.044	27.8	0.1
20	70	25	8	0.148	52.4	-14.7	50	90	15	4	0.080	44.9	-11.6
21	80	5	2	0.035	18.6	-6.5	51	90	15	6	0.128	60.1	-21.2
22	80	5	4	0.100	23.3	-11.5	52	90	15	8	0.180	70.3	-24.8
23	80	5	6	0.208	28.6	-14.3	53	90	20	2	0.045	32.0	1.0
24	80	5	8	0.386	37.2	-14.5	54	90	20	4	0.076	51.6	-4.7
25	80	10	2	0.045	18.0	-5.2	55	90	20	6	0.110	65.4	-10.6
26	80	10	4	0.087	27.4	-13.5	56	90	20	8	0.157	75.2	-19.7
27	80	10	6	0.160	32.0	-17.9	57	90	25	2	0.048	34.8	1.3
28	80	10	8	0.254	36.1	-20.8	58	90	25	4	0.080	54.0	-3.1
29	80	15	2	0.045	20.9	-0.5	59	90	25	6	0.114	67.9	-5.3
30	80	15	4	0.079	34.8	-10.4	60	90	25	8	0.148	83.2	-20.5

编号	v/(m·s^-1)	β/(°)	α/(°)	d_max/m	N_max/g	Δθ/(°)	编号	v/(m·s^-1)	β/(°)	α/(°)	d_max/m	N_max/g	Δθ/(°)
1	70	5	2	0.036	13.9	-5.6	31	80	15	6	0.124	46.8	-18.5
2	70	5	4	0.098	17.7	-10.6	32	80	15	8	0.175	55.1	-20.6
3	70	5	6	0.185	23.0	-13.5	33	80	20	2	0.046	25.4	0.8
4	70	5	8	0.340	28.1	-13.2	34	80	20	4	0.076	42.4	-4.3
5	70	10	2	0.046	14.8	-4.5	35	80	20	6	0.112	52.9	-7.7
6	70	10	4	0.086	22.0	-12.3	36	80	20	8	0.157	63.6	-19.8
7	70	10	6	0.141	28.4	-15.7	37	80	25	2	0.047	23.8	1.3
8	70	10	8	0.238	33.6	-19.9	38	80	25	4	0.080	25.1	-2.5
9	70	15	2	0.045	19.6	-0.5	39	80	25	6	0.114	40.9	-7.8
10	70	15	4	0.081	27.2	-9.2	40	80	25	8	0.149	55.5	-15.1
11	70	15	6	0.124	36.7	-15.6	41	90	5	2	0.035	23.8	-7.8
12	70	15	8	0.179	45.8	-18.6	42	90	5	4	0.097	29.8	-11.2
13	70	20	2	0.046	19.5	0.7	43	90	5	6	0.248	36.6	-10.2
14	70	20	4	0.077	32.1	-4.2	44	90	5	8	0.310	40.2	-24.1
15	70	20	6	0.112	40.4	-5.9	45	90	10	2	0.045	23.5	-6.1
16	70	20	8	0.154	48.9	-19.8	46	90	10	4	0.087	35.6	-14.9
17	70	25	2	0.048	21.9	1.1	47	90	10	6	0.160	43.5	-19.9
18	70	25	4	0.081	30.9	-0.9	48	90	10	8	0.248	61.8	-21.7
19	70	25	6	0.115	42.2	-6.8	49	90	15	2	0.044	27.8	0.1
20	70	25	8	0.148	52.4	-14.7	50	90	15	4	0.080	44.9	-11.6
21	80	5	2	0.035	18.6	-6.5	51	90	15	6	0.128	60.1	-21.2
22	80	5	4	0.100	23.3	-11.5	52	90	15	8	0.180	70.3	-24.8
23	80	5	6	0.208	28.6	-14.3	53	90	20	2	0.045	32.0	1.0
24	80	5	8	0.386	37.2	-14.5	54	90	20	4	0.076	51.6	-4.7
25	80	10	2	0.045	18.0	-5.2	55	90	20	6	0.110	65.4	-10.6
26	80	10	4	0.087	27.4	-13.5	56	90	20	8	0.157	75.2	-19.7
27	80	10	6	0.160	32.0	-17.9	57	90	25	2	0.048	34.8	1.3
28	80	10	8	0.254	36.1	-20.8	58	90	25	4	0.080	54.0	-3.1
29	80	15	2	0.045	20.9	-0.5	59	90	25	6	0.114	67.9	-5.3
30	80	15	4	0.079	34.8	-10.4	60	90	25	8	0.148	83.2	-20.5

初始变量			目标函数
v/ (m·s^-1)	β/(°)	α/(°)	d_max/m	N_max/g	Δθ/(°)
60.1	18.8	2.0	0.0245	25.8	0.0015

初始变量			目标函数
v/ (m·s^-1)	β/(°)	α/(°)	d_max/m	N_max/g	Δθ/(°)
60.1	18.8	2.0	0.0245	25.8	0.0015