水下高速运动体运动稳定性的分叉分析

为保证水下高速运动体能在高速时稳定运动,使用分叉法确定其稳定运动的范围和条件.通过对运动体受力和超空泡特性进行分析,建立了水下高速运动体的纵向运动模型,采用分叉法求系统分叉点来确定模型稳定运动的范围,使用数值仿真对水下高速运动体的运动进行分析,提出了对分叉点位置进行控制的方法.仿真结果表明,建立的水下高速运动体的纵向运动模型符合运动体的实际运动规律,在分叉点处模型的运动特性产生突变,系统分叉点位置可以进行有效控制.证明了分叉分析法能够准确判定保证水下高速运动体稳定运动的空化数范围,并且其范围可控.

Bifurcation Analysis of Motion Stability for Underwater High-speed Vehicle

For ensuring the steady motion of a high-speed underwater vehicle,the bifurcation method is employed to determine the range and condition of the steady motion. Through force analysis of the vehicle and morphology analysis of supercavity,a longitudinal motion model of high-speed underwater vehicle was established. Then the bifurcation method was used to get bifurcation points of the system,and to determine the stability range of the model.Numerical simulation was conducted for the motion analysis of high-speed underwater vehicle and methods to control the location of bifurcation points were discussed. Results of simulation agree with the real motion law,the mutation of motion characteristics of the high-speed underwater vehicle on bifurcation points,and the location of bifurcation points can be controlled. It is indicated that the range of cavitation number is accurately determined by bifurcation analysis,and the controllable range ensures the stable motion of high-speed underwater vehicle.