尾翼控制小型超空泡航行体运动稳定性分析

doi:10.12305/j.issn.1001-506X.2024.07.27

Abstract

Abstract:

In order to explore the influence of deflectable fin on the motion state of small supercavitating vehicle, a nonlinear dynamic model of small supercavitating vehicle with fin-controlled function is established. The dynamic system of the vehicle is calculated, and the stability of the system is judged by Lyapunov exponent spectrum and phase-orbit diagram. The stable system, periodic oscillation system, and chaotic system with different fin feedback gain are analyzed by nonlinear dynamic analysis method, and the feedback gain parameter interval of small non-power supercavitating vehicle maintaining stable motion under velocity attenuation is obtained. The results show that the unpowered small supercavitating vehicle can control its attitude and achieve stable motion by adjusting the feedback gain parameters of the fin.

Key words: supercavitating vehicle, fin-controlled, nonlinear dynamics, stability

CLC Number:

U661.3

Ping YAN, Chaochang LI. Motion stability analysis of fin-controlled small supercavitating vehicle[J]. Systems Engineering and Electronics, 2024, 46(7): 2456-2464.

Figures/Tables 15

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参数名称	取值
重力加速度g/(m/s²)	9.8
质量M/g	113.9
航行体半径R/m	0.007 25
航行体长度L/m	0.154
阻力系数c_x0	0.065
转动惯量Izz/(g·mm³)	4 766.412
空化数σ	[0.001 1, 0.010 0]
密度比(航行体/水)m	7.9

σ	V/(m/s)	k_z	系统状态
0.001 1	600	[30, 59]	稳定
		[-26, -17];[12, 29]	周期振荡
		[68, 86]	混沌
		其他	发散
0.002 5	400	[28, 60]	稳定
		[-29, -14];[9, 27]	周期振荡
		[62, 85]	混沌
		其他	发散
0.01	200	[26, 63]	稳定
		[-30, -12];[10, 25]	周期振荡
		[51, 86]	混沌
		其他	发散

σ	V/(m/s)	k_θ	系统状态
0.001 1	600	[-9, -6]	稳定
		[-15, -9]	周期振荡
		其他	发散
0.002 5	400	[-4, -1]	稳定
		[-18, -8]	周期振荡
		其他	发散
0.01	200	[-6, -2]	稳定
		[-14, -7];[5, 52]	周期振荡
		其他	发散

σ	V/(m/s)	k_q	系统状态
0.001 1	600	[12, 19]	稳定
		[-16, -7];[20, 39]	周期振荡
		其他	发散
0.002 5	400	[16, 23]	稳定
		[-26, -17];[24, 38]	周期振荡
		其他	发散
0.01	200	[16, 27]	稳定
		[-18, -9];[28, 39]	周期振荡
		其他	发散

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Motion stability analysis of fin-controlled small supercavitating vehicle

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