单滑块变质心再入飞行器分岔特性

基于非线性动力学模型,给出了单滑块变质心再入飞行器的平衡点及其稳定性随滑块偏移距离的变化规律,得到了系统分岔图,并在此基础上求解了典型条件下各吸引子的吸引域。结果表明滑块偏移距离对再入飞行器的平衡点数量及稳定性具有明显的影响,同时初始飞行条件对飞行器的最终收敛状态也具有重要的影响,不合适的初始条件有可能导致飞行器被锁定在不期望的平衡点或极限环中,从而引起失速或失控等问题。此外,通过分析不同系统参数下的分岔图变化规律,总结了再入飞行器结构及气动参数对系统分岔特性的影响,进而为系统参数的设计提供了参考。

Bifurcation characteristics of reentry vehicle with one moving point mass

Based on the nonlinear dynamic model, the variations of values and stability of equilibrium points for the reentry vehicle with one moving point mass are presented and the bifurcation diagram of the attitude motion is obtained. Then the domains of attraction of the attractors on typical conditions are computed. The results show that the deflection distance of the moving mass element has a great impact on the quantities and stability of the system’s equilibrium points, and the final convergence status of the flight vehicle is also greatly affected by the initial conditions of the flight motion. Inappropriate initial conditions may cause the reentry vehicle being locked in an undesired equilibrium point or limit cycle and result in problems such as stall or loss of control. In addition, by analyzing the variation of bifurcation diagrams of the system with different parameters, the impacts of the structural and aerodynamic parameters of the reentry vehicle on the system’s bifurcation characteristics are summed up, which can provide a reference for the design of the system parameters.