基于分叉理论的水下超空泡航行体运动特性研究

摘要

To guarantee the steady motion of underwater supercavitating vehicles, the bifurcation analysis ofunderwa-ter vehicles with variable cavitation numbers is conducted. Through numerical simulation and phase track diagram, thedif-ference of motion characteristics with different cavitation numbers is revealed based on bifurcation theory. The conditions and ranges of parameters for the stable motion of vehicles are finally determined by a two-dimensional bifurcation diagram. The results indicate that the motion of supercavitating vehicles is found to have nonlinear dynamic characteristics, resulting in the phenomena with cavitation numbers varying, such as Hopf bifurcations, period-doubling bifurcations and chaos. The stable range of underwater supercavitating vehicles can be expanded by adjusting the gain of control law reasonably. Then the steady motion will be realized.%为保证水下超空泡航行体稳定地运动，分叉分析航行体的运动状态随空化数变化的规律，基于分叉理论，利用数值仿真、相轨图分析并验证航行体在不同空化数下的运动特性，最后通过二维分岔图确定航行体稳定运动条件和参数范围。研究结果表明：超空泡航行体的运动具有非线性动力学特性，随着空化数的变化，系统的相轨迹出现极限环、混沌吸引子等现象；合理地调整控制律可以扩大航行体稳定运动的空化数范围，实现航行体的稳定运动。