基于二维分岔的超空泡航行体非线性动力学特性分析

摘要

Based on two-dimensional bifurcation diagram,the complex dynamic behaviors of supercavitating vehicles were analyzed by using dynamic analysis tools,such as phase track diagram,timedomain simulation diagram,Lyapunov exponent spectrum.The motion of supercavitating vehicle changing with feedback control gain of the tail deflection angle and cavitation numbers was explored,and the conditions and ranges of variable parameters for the stable motion of vehicle were determined.The results show that some rich nonlinear phenomena varying with variable parameters,such as bifurcations,period windows and chaos can be found.Vibrations and shocks can be suppressed effectively by reasonably adjusting the tail deflection angle.The research result has an important guiding significance to the design of the controller of supercavitating vehicle.%基于二维分岔图,利用相轨图、时域仿真图、Lyapunov指数谱等动力学分析工具分析了超空泡航行体复杂的动力学行为,探讨了超空泡航行体运动状态随尾翼偏转角反馈控制增益及空化数的变化规律,确定了航行体稳定运动的条件和参数范围.结果表明:随着参数的变化,超空泡航行体的动力学行为中存在分岔、混沌、周期窗等丰富的非线性物理现象;合理调整尾翼偏转角,能够有效抑制航行体的振荡与冲击.研究结果对超空泡航行体控制器的设计具有重要的指导意义.